On the norms of Boman-Shapiro difference operators

DOI10.1134/S0081543821060055zbMath1482.41004OpenAlexW4205283849MaRDI QIDQ2071604

Yu. V. Kryakin, A. G. Babenko

Publication date: 28 January 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821060055

zbMATH Keywords

difference operatornorm estimate\(k\)th modulus of continuity

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Linear difference operators (47B39) Best constants in approximation theory (41A44)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Special moduli of continuity and the constant in the Jackson-Stechkin theorem
• On functions with bounded \(n\)-th differences
• On the Whitney constants for classes \(L^ p\), \(1\leq p<\infty\)
• Boundedness by 3 of the Whitney interpolation constant.
• On the exact constant in the Jackson-Stechkin inequality for the uniform metric
• On constants in the Jackson-Stechkin theorem in the case of approximation by algebraic polynomials
• A Tauberian theorem related to approximation theory
• Comparison theorems for a generalized modulus of continuity
• Estimates for functionals with a known finite set of moments in terms of high order moduli of continuity in spaces of functions defined on a segment
• THE APPROXIMATION OF FUNCTIONS BY ALGEBRAIC POLYNOMIALS
• On the extension of differentiable functions

This page was built for publication: On the norms of Boman-Shapiro difference operators