The Scientific Work of Gradimir V. Milovanović

DOI10.1007/978-1-4419-6594-3_1zbMath1213.01077OpenAlexW2206120311MaRDI QIDQ3086881

Aleksandar Ivić

Publication date: 30 March 2011

Published in: Approximation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4419-6594-3_1

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70)

Cites Work

• Gauss-Laguerre interval quadrature rule
• Uniqueness and computation of Gaussian interval quadrature formula for Jacobi weight function
• Quadrature rules with multiple nodes for evaluating integrals with strong singularities
• Gauss-Radau and Gauss-Lobatto interval quadrature rules for Jacobi weight function
• A note on the bounds of the error of Gauss--Turán-type quadratures
• Gauss-Tur'an quadratures of Kronrod type for generalized Chebyshev weight functions
• On an inequality of Bogar and Gustafson
• On the remainder term of Gauss-Radau quadratures for analytic functions
• Positive definite solutions of some matrix equations
• Nonstandard Gaussian quadrature formulae based on operator values
• Bounds of the error of Gauss-Turán-type quadratures. II.
• Quadrature formulae with multiple nodes and a maximal trigonometric degree of exactness
• Orthogonal polynomials for modified Gegenbauer weight and corresponding quadratures
• Error estimates for Gaussian quadratures of analytic functions
• A note on some improvements of the simultaneous methods for determination of polynomial zeros
• Spline approximations to spherically symmetric distributions
• Polynomials orthogonal on the semicircle
• A generalization of a result of A. Meir for non-decreasing sequences
• On numerical evaluation of double integrals of an analytic function of two complex variables
• The numerical evaluation of singular integrals with coth-kernel
• Moment-preserving spline approximation on finite intervals
• Polynomials orthogonal on the semicircle. II
• Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures
• On the convergence order of a modified method for simultaneous finding polynomial zeros
• Numerical differentiation of analytic functions using quadratures on the semicircle
• Some Müntz orthogonal systems
• On polynomials orthogonal on the semicircle and applications
• Weighted \(L^ 2\)-analogues of Bernstein's inequality and classical orthogonal polynomials
• On polynomials orthogonal on a circular arc
• A class of orthogonal polynomials on the radial rays in the complex plane
• Shape preserving approximations by polynomials and splines
• Discrete inequalities of Wirtinger's type for higher differences
• \(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae
• Error analysis in some Gauss-Turán-Radau and Gauss-Turán-Lobatto quadratures for analytic functions.
• Quadrature formulae connected to sigma-orthogonal polynomials
• Remarks on ``Orthogonality of some sequences of the rational functions and Müntz polynomials
• Bounds of the error of Gauss-Turán-type quadratures
• Orthogonal polynomials and Gaussian quadrature rules related to oscillatory weight functions
• Calculation of Gaussian-type quadratures with multiple nodes
• On discrete inequalities of Wirtinger's type
• Extremal problems, inequalities, and classical orthogonal polynomials.
• Weighted integration of periodic functions on the real line.
• Extremal problems of Markov's type for some differential operators
• Summation of series and Gaussian quadratures. II
• Linearizability conditions for a cubic system
• Trigonometric orthogonal systems and quadrature formulae
• Gauss-Hermite interval quadrature rule
• Gaussian quadratures for oscillatory integrands
• Explicit formulas for five-term recurrence coefficients of orthogonal trigonometric polynomials of semi-integer degree
• An Error expansion for some Gauss-Turán quadratures and \(L^1\)-estimates of the remainder term
• Some inequalities for symmetric functions and an application to orthogonal polynomials
• Well-conditioned matrices for numerical treatment of Fredholm integral equations of the second kind
• Orthogonal polynomials related to the oscillatory: Chebyshev weight function
• An Extremal Problem for Polynomials with Nonnegative Coefficients
• Numerical construction of the generalized Hermite polynomials
• Interpolation Processes
• Numerical Integration with Complex Jacobi Weight Function
• Some numerical methods for second-kind Fredholm integral equations on the real semiaxis
• Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series
• Least Squares Approximation With Constraints
• On computational efficiency of the iterative methods for the simultaneous approximation of polynomial zeros
• Extremal Problems for Lorentz Classes of Nonnegative Polynomials in L 2 Metric with Jacobi Weight
• An Estimate for Coefficients of Polynomials in L 2 -Norm
• On birkhoff (0,3) and (0,4) quadrature formulae
• Error bounds for Gauss-Turán quadrature formulae of analytic functions
• Some Finite Summation Formulas Involving Multivariable Hypergeometric Polynomials
• Some higher-order methods for the simultaneous approximation of multiple polynomial zeros
• Complex Jacobi matrices and quadrature rules
• Error estimates for Gauss-Turan quadratures and their Kronrod extensions
• Monotonicity of the error term in Gauss-Turán quadratures for analytic function
• Maximum of the modulus of kernels in Gauss-Turán quadratures
• Gaussian-type Quadrature Rules for Müntz Systems
• Trigonometric Orthogonal Systems and Quadrature Formulae with Maximal Trigonometric Degree of Exactness
• Connection of Semi-integer Trigonometric Orthogonal Polynomials with Szegő Polynomials
• Quadratures with multiple nodes, power orthogonality, and moment-preserving spline approximation
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