Some probabilistic methods in the theory of approximation operators
From MaRDI portal
Publication:4189609
DOI10.1007/BF01896838zbMath0404.41012MaRDI QIDQ4189609
Publication date: 1980
Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)
Bernstein PolynomialsWeak ConvergenceProbabilistic MethodsApproximation OperatorsExponential Family of DistributionsFeller OperatorMonotonic Convergence
Central limit and other weak theorems (60F05) Approximation by operators (in particular, by integral operators) (41A35)
Related Items
Limiting properties of Inverse Beta and generalized Bleimann–Butzer–Hahn operators, On some degenerate differential operators on weighted function spaces, A note on a Bernstein-type operator of Bleimann, Butzer, and Hahn, On the monotonicity of positive linear operators, Simultaneous approximation of the Feller operator, On the randomized Bernstein approximation theorem and the order of approximation, Lipschitz constants for some approximation operators of a Lipschitz continuous function, Asymptotic expansions of the representation formulae for (C0) m-parameter operator semigroups1.2, Integral-type operators on continuous function spaces on the real line, A note on limiting properties of some Berstein-type operators, The best asymptotic constant of a class of approximation operators, On the rate of convergence of Bernstein power series for functions of bounded variation, Approximation of mappings with values which are upper semicontinuous functions, On the approximation of convex functions by Bernstein-type operators, Shape preserving properties of some positive linear operators on unbounded intervals, On some refinements of Jensen's inequality, On the rate of convergence of some operators on functions of bounded variation, On the preservation of log convexity and log concavity under some classical Bernstein-type operators, An answer to Hermann's conjecture on Bleimann-Butzer-Hahn operators, Degree reduction of \(S-\lambda\) curves using a genetic simulated annealing algorithm, Log-concavity for Bernstein-type operators using stochastic orders, On the \(L_ p\) norm for some approximation operators
Cites Work