On constants in coconvex approximation of periodic functions

DOI10.7153/mia-2021-24-14zbMath1469.42002OpenAlexW3134846792MaRDI QIDQ4991566

G. A. Dzyubenko

Publication date: 3 June 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2021-24-14

zbMATH Keywords

counterexampleJackson estimatescoconvex approximation by trigonometric polynomials

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation with constraints (41A29) Rate of convergence, degree of approximation (41A25)

Cites Work

• On functions with bounded \(n\)-th differences
• New phenomena in coconvex approximation
• Orders of coapproximation of functions by algebraic polynomials
• Coconvex approximation.
• Boundedness by 3 of the Whitney interpolation constant.
• Degree of approximation by monotone polynomials. I
• Degree of approximation by monotone polynomials. II
• Smooth functions
• The degree of coconvex polynomial approximation
• ON COMONOTONE APPROXIMATION BY POLYNOMIALS IN Lp SPACE
• A counterexample in comonotone approximation in $L^p$ space
• Uniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials
• Coconvex approximation of periodic functions
• Coconvex Approximation of Functions with More than One Inflection Point
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On constants in coconvex approximation of periodic functions