Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
scientific article - MaRDI portal

scientific article

From MaRDI portal
Publication:3272104

zbMath0094.10201MaRDI QIDQ3272104

P. P. Korovkin

Publication date: 1959


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items

Korovkin type theorem for functions of two variables via lacunary equistatistical convergence, Unnamed Item, Improved rate of approximation by modification of Baskakov operator, Korovkin Type Approximation Theorem for Almost and Statistical Convergence, On a trigonometric convolution operator with kernel having two zeros of simple multiplicity, Positive linear operators and summability, Korovkin-Type Approximation Theorem for Functions of Two Variables Via Statistical Summability (C, 1, 1), Approximation properties for modified $(p,q)$-Bernstein-Durrmeyer operators, Unnamed Item, Jackson's Theorem for locally compact abelian groups, Statistical weighted \((N_\lambda,p,q)(E_\lambda,1)\) \(A\)-summability with application to Korovkin's type approximation theorem, 𝒜 $$\mathcal{A}$$ -Summability of Sequences of Linear Conservative Operators, Higher-order Bernstein-Kantorovich operators, Korovkin-type theorems for weakly nonlinear and monotone operators, \(q\)-fractional integral operators with two parameters, New multivariate and univariate Aldaz-Kounchev-Render type operators, Nonlinear operator extensions of Korovkin's theorems, Jackson's Theorem for finite products and homomorphic images of locally compact abelian groups, Quantitative Korovkin theorems for monotone sublinear and strongly translatable operators in $L_{p}([0, 1)$, $1\le p\le \infty $], Operator version of Korovkin theorem; degree of convergence and application to preconditioners, An operator version of the Korovkin theorem for continuous periodic functions, Korovkin-type theorems for statistically convergent sequences of monotone and sublinear operators, Hermite-Hadamard type inequality for certain Schur convex functions, Unnamed Item, Unnamed Item, On statistical convergence of difference sequences of fractional order and related Korovkin type approximation theorems, Lattice homomorphism inequalities for vector valued functions, On approximation by linear positive operators, On approximation by linear positive operators, On non-uniqueness of the order of saturation, Unnamed Item, Chebyshev Subspaces and Convergence of Positive Linear Operators, Algebraic Representation for Bernstein Polynomials on the Symmetric Interval and Combinatorial Relations, Statistical Approximation for Stochastic Processes, Some Applications of Summability Theory, Approximate solution of ordinary differential equations by means of positive linear operators, A note on Korovkin test families, Quantitative results for positive linear approximation operators, Approximation of analytic functions by Bernstein-type operators, Saturation of positive convolution operators, On convergence to the Dirac measure and to the identity operator, Upper Bounds for Bernstein Basis Functions, On uniform spline approximation, The extension and convergence of positive operators, Approximation of Functions by Convexity Preserving Continuous Linear Operators, Ein allgemeiner Korovkin-Satz fĂŒr lokalkonvexe VektorverbĂ€nde, Pointwise saturation of positive operators, A Generalization of Tyuriemskih's Lethargy Theorem and Some Applications, Generalized CesĂ ro summability of Fourier series and its applications, The generalization of Meyer-König and Zeller operators by generating functions, Sequential type Korovkin theorem on 𝐿^{∞} for QC-test functions, Korovkin tests, approximation, and ergodic theory, Optimal multilevel matrix algebra operators, Positivity preserving finite element approximation, Approximation of Bögel continuous functions and deferred weighted A-statistical convergence by Bernstein-Kantorovich type operators on a triangle, A generalized form of Hadamard's Inequalities and the associated quadrature formulae, Statistical weighted \(A\)-summability with application to Korovkin's type approximation theorem, The convergence and saturation of iterations of positive linear operators, Korovkin systems of stochastic processes, Statistical deferred weighted \(\mathcal{B}\)-summability and its applications to associated approximation theorems, Application of \(f\)-lacunary statistical convergence to approximation theorems, Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol, Statistically relatively uniform convergence of positive linear operators, Korovkin-type theorems for abstract modular convergence, Approximation by Chebyshevian Bernstein operators versus convergence of dimension elevation, Approximation of analytic functions in annulus by linear operators, On weighted statistical convergence based on \((p,q)\)-integers and related approximation theorems for functions of two variables, The LĂ©vy radius of a set of probability measures satisfying basic moment conditions involving \(\{t,t^ 2\}\), Bernstein-type operators in Chebyshev spaces, On the degree of weak convergence of a sequence of finite measures to the unit measure under convexity, Block band Toeplitz preconditioners derived from generating function approximations: analysis and applications, Relative modular convergence of positive linear operators, Singular approximation in polydiscs by summability process, Global properties of pseudospectral methods, Asymptotic approximation by de la VallĂ©e Poussin means and their derivatives, Generalization of statistical Korovkin theorems, Approximating probability densities on the positive half-line, A generalization of lacunary equistatistical convergence of positive linear operators, Weighted arithmetic means possessing the interpolation property, Rate of convergence of non-positive generalized convolution type operators, Fractional Korovkin theory, Korovkin theorems and linear positive Gram matrix algebra approximations of Toeplitz matrices, The generalization of bivariate MKZ operators by multiple generating functions, Slow convergence of sequences of linear operators. I: Almost arbitrarily slow convergence, Approximation by MĂŒntz spaces on positive intervals, On summability and positive linear operators, Strong summation process in \(L_p\) spaces, Triangular \(A\)-statistical approximation by double sequences of positive linear operators, Korovkin's theorems for C*-algebras, Statistical \(\sigma \)-convergence of positive linear operators, Four-dimensional matrix transformation and rate of A-statistical convergence of periodic functions, Equi-statistical \(\sigma \)-convergence of positive linear operators, Degree of \(L_ p-\)approximation by certain positive convolution operators, Complete monotonicity properties of certain approximation operators, Lipschitz constants for some approximation operators of a Lipschitz continuous function, Rates for approximation of unbounded functions by positive linear operators, Approximate solution of the Lyapunov-Lichtenstein equation with the aid of the approximation-iteration method, Korovkin theorems in \(L^ p-\)spaces, Rate of convergence of positive linear operators using an extended complete Tchebycheff system, Weighted statistical convergence and its application to Korovkin type approximation theorem, The Bernstein polynomial basis: a centennial retrospective, Spline approximation operators of Bernstein-Schoenberg type in one and two variables, The rate of weak convergence of convex type positive finite measure, Bernstein-type operators which preserve polynomials, Growth of the degrees of polynomial bases and approximation of trigonometric projectors, Korovkin sets in Banach space for sets of linear functionals, Unbounded functions and positive linear operators, Universal properties of approximation operators, On some approximation theorems for the Poisson integral for Hermite expansions, \(\Lambda^{2}\)-weighted statistical convergence and Korovkin and Voronovskaya type theorems, On \((p, q)\)-analogue of Bernstein operators, On the order of approximation of continuous functions by positive linear operators of finite rank, BĂ©zier curves based on Lupaß \((p,q)\)-analogue of Bernstein functions in CAGD, Multivariate stochastic Korovkin theory given quantitatively, Orthonormal polynomial bases in function spaces, Aspects of de La VallĂ©e Poussin's work in approximation and its influence, On the application of linear positive operators for approximation of functions, Moment problems and their applications to the stability of queueing models, A Korovkin's type approximation theorem for periodic functions via the statistical summability of the generalized de la VallĂ©e Poussin mean, Filtered hyperinterpolation: a constructive polynomial approximation on the sphere, Statistical \(A\)-summability of positive linear operators, Approximate regularity of commutative Beurling algebras and Korovkin approximation, A note on generalized Bernstein polynomial density estimators, Approximations by linear operators in spaces of fuzzy continuous functions, Approximation theorems by positive linear operators in weighted spaces, Approximation properties of a new type Bernstein-Stancu polynomials of one and two variables, Linear approximating processes with limited oscillation, Weighted statistical approximation by Kantorovich type \(q\)-SzĂĄsz-Mirakjan operators, Korovkin theorems for positive linear operators, Statistical \(\sigma \) approximation to Max-product operators, On asymptotic formulae via summability, On the summability of functions analytic in star-shaped domains, Convergence of sequences of linear positive operators: remarks and applications, On a theorem of Jackson, Geometric theory of Korovkin sets, Approximation by Stancu-Chlodowsky polynomials, Some properties of operators of Abel-Poisson type, Chebyshev--Schoenberg operators, Statistical approximation by positive linear operators on modular spaces, Four-dimensional matrix transformation and the rate of \(A\)-statistical convergence of continuous functions, Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and PĂłlya-type theorems on positive polynomials, Weighted statistical convergence based on generalized difference operator involving \((p,q)\)-gamma function and its applications to approximation theorems, Korovkin type approximation theorems inb-statistical sense, Form preservation under approximation by local exponential splines of an arbitrary order, Bernstein operators for exponential polynomials, Approximation formulae of Voronovskaya-type for certain convolution operators, Smooth rate of weak convergence of convex type positive finite measures, Saturation and inverse theorems for certain operators in C or \(L_ p\), \(1\leq p<\infty\), Approximation of second-order moment processes from local averages, Generalized weighted statistical convergence for double sequences of fuzzy numbers and associated Korovkin-type approximation theorem, The most twisting monosplines, Weak Korovkin approximation by completely positive linear maps on \(\beta\) (H), A K-attainable inequality related to the convergence of positive linear operators, A study of positive linear operators by the method of moments, one- dimensional case, A discrete Korovkin theorem, \(A\)-statistical extension of the Korovkin type approximation theorem, On the degree of the approximation of functions of several variables by linear positive operators of finite rank, The degree of the best approximation in Banach spaces, Approximation on a new class of SzĂĄsz-Mirakjan operators and their extensions in Kantorovich and Durrmeyer variants with applicable properties, A new construction of Lupaß operators and its approximation properties, On one extreme problem in the theory of approximation, A generalization of the Bernstein polynomials, An operator version of the Korovkin theorem, Uniformly convergent Lagrange-type approximation, Approximation processes with respect to positive multiplication operators, Generalized Popoviciu expansions for Bernstein polynomials of a rational module, Asymptotic formulas for multivariate Bernstein-Schoenberg operators, Several remarks on the norms of linear polynomial operators, Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators, Projecting Lipschitz functions onto spaces of polynomials, Bohman-Korovkin-Wulbert operators from a function space into a commutative \(C^*\)-algebra for special test functions, BKW-operators on the interval \([0,1\)], Statistical relative approximation on modular spaces, A summability process on Baskakov-type approximation, Approximation of continuous functions by the generalized SzĂĄsz-Mirakyan operators, Weighted equi-statistical convergence of the Korovkin type approximation theorems, Generalized equi-statistical convergence of positive linear operators and associated approximation theorems, Asymptotic formulas for Lebesgue functions corresponding to the family of Lagrange interpolation polynomials, Korovkin-type approximation theorem for double sequences of positive linear operators via statistical \(A\)-summability, Rates of \(A\)-statistical convergence of operators in the space of locally integrable functions, Statistical rates on the multivariate approximation theory, On approximate solution of Hammerstein integral equations in the space \(L_p\) \((p\leqslant 1)\), A Korovkin-type theory for non-self-adjoint Toeplitz operators, Korovkin second theorem via \(B\)-statistical \(A\)-summability, Approximation by SzĂĄsz-Jakimovski-Leviatan-type operators via aid of Appell polynomials, Bivariate positive linear operators constructed by means of \(q\)-Lagrange polynomials, Statistical approximation for periodic functions of two variables, Generalized \(q\)-Bernstein-Schurer operators and some approximation theorems, Approximation theorems for functions of two variables via \(\sigma\)-convergence, Approximation properties of \(\lambda\)-Gamma operators based on \(q\)-integers, Approximation by parametric extension of SzĂĄsz-Mirakjan-Kantorovich operators involving the Appell polynomials, On \(M_{\lambda_{m,n}}\)-statistical convergence, A Korovkin type approximation theorem and its applications, Approximation for periodic functions via weighted statistical convergence, Statistical weighted \(\mathcal{B}\)-summability and its applications to approximation theorems, Regular matrix transformations and rates of convergence of positive linear operators, Equi-statistical convergence of positive linear operators, The noncommutative Choquet boundary. II: Hyperrigidity, Korovkin-type theorems for modular \(\Psi\)-\(A\)-statistical convergence, Statistical lacunary summability and a Korovkin type approximation theorem, An embedding theorem for convex fuzzy sets, On the order of an approximation of functions on sets of positive measure by linear positive polynomial operators, Geometric series of positive linear operators and the inverse Voronovskaya theorem on a compact interval, Generalized weighted statistical convergence and application, On the degree of approximation by linear positive operators, A Korovkin theorem for Schwarz maps on \(C^*\)-algebras, The degree of convergence of positive linear operators, Quantitative results on almost convergence of a sequence of positive linear operators, Korovkin shadows and Korovkin systems in C(S)-spaces, Generalized SzĂĄsz-Mirakjan type operators via \(q\)-calculus and approximation properties, Theorems of Korovkin type, Generalized equi-statistical convergence of the deferred Nörlund summability and its applications to associated approximation theorems, Certain positive linear operators, Rate of approximation for modified Lupaß-Jain-beta operators, Approximation of continuous functions by power series with polynomial coefficients, A short survey on preconditioners and Korovkin-type theorems, Saturation of local approximation by linear positive operators, Certain new investigations on approximation by positive linear operators, Der Mil'man - Choquetsche Rand und die Approximationstheorie, Sharp inequalities for convolution-type operators, Some remarks on the approximation of functions by some positive linear operators, Convergence of operators and Korovkin's theorem, The degree of approximation to periodic functions by linear positive operators, Approximationseigenschaften der Gammaoperatoren, Korovkin type approximation via statistical \(e\)-convergence on two dimensional weighted spaces, On a Korovkin-type theorem for simultaneous approximation, Qualitative Korovkin-type results on conservative approximation, Operatoren vom Bernsteinschen Typ, Iteration of positive approximation operators, Approximation with kernels of finite oscillations. I: Convergence, Saturation of local approximation by linear positive operators of Bernstein type, Some remarks on saturation problem in the local approximation. II, Fronts, relaxation oscillations, and period doubling in solid fuel combustion, Lupaß blending functions with shifted knots and \(q\)-BĂ©zier curves, Some theorems on linear positive operators and functionals and their applications, Function-valued Korovkin systems without quasiconcavity and set-valued Korovkin systems without convexity, Certain approximation properties of Brenke polynomials using Jakimovski-Leviatan operators, Nonlinear versions of Korovkin's abstract theorems, Local L//p-saturation of positive linear convolution operators, The generalization of some theorems of P. P. Korovkin on positive operators, Approximation with kernels of finite oscillations. II: Degree of approximation, Test closures of sets in Banach spaces generated by linear functionals, Weierstrass and approximation theory, P-summability method applied to multivariate \((p, q)\)-Lagrange polynomial operators, On some asymptotic properties of solutions to biharmonic equations, \(q\)-fractional Askey-Wilson integrals and related semigroups of operators, Korovkin-type theorems and local approximation problems, Certain results and problems from the theory of bases, Set-valued extension of operators via Steiner selections. II: Applications to approximation., On zero-preserving linear transformations, Orthogonal polynomials and conservative approximation, Influence of the choice of Lagrange interpolation nodes on the exact and approximate values of the Lebesgue constants, Approximation by Jakimovski-Leviatan-beta operators in weighted space, Approximation of \(^*\)weak-to-norm continuous mappings., Komleva-type expansions and asymptotics for linear operators, Korovkin-type theorems on \(B(\mathcal{H})\) and their applications to function spaces