A study of positive linear operators by the method of moments, one- dimensional case

DOI10.1016/0021-9045(85)90049-8zbMath0571.41019OpenAlexW2078467677MaRDI QIDQ1061964

George A. Anastassiou

Publication date: 1985

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90049-8

zbMATH Keywords

modulus of continuitymoment methodsbest upper bounds

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items

Rate of convergence of non-positive generalized convolution type operators, Rate of convergence of positive linear operators using an extended complete Tchebycheff system, Unnamed Item, The rate of weak convergence of convex type positive finite measure, Monotone approximation of random functions with multivariate domains in respect of lattice semi-norms, Smooth rate of weak convergence of convex type positive finite measures, Korovkin inequalities for stochastic processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On small sumsets in an abelian group
• A note on stochastic methods in connection with approximation theorems for positive linear operators
• Extension of positive operators and Korovkin theorems
• Convergence of sequences of linear positive operators: remarks and applications
• Geometric theory of Korovkin sets
• On the degree of approximation by linear positive operators
• Korovkin shadows and Korovkin systems in C(S)-spaces
• General theorems on rates of convergence in distribution of random variables I. General limit theorems
• The degree of approximation to periodic functions by linear positive operators
• Quantitative results for positive linear approximation operators
• Approximation and Abstract Boundaries
• On approximation of continuously differentiable functions by positive linear operators
• On the degree of approximation by Szász operators
• The General Moment Problem, A Geometric Approach
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
• Korovkin systems in spaces of continuous functions
• On approximation by linear positive operators