Steklov type operators and functional equations

DOI10.2478/amsil-2024-0006MaRDI QIDQ6131349

Ioan Raşa, Dorian Popa, Gabriela Motronea

Publication date: 5 April 2024

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

zbMATH Keywords

functional equationspline approximationconvex functionsasymptotic approximations

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Spline approximation (41A15) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

• Remarks on strongly convex functions
• The Fréchet functional equation with application to the stability of certain operators
• Smoothness and shape preserving properties of Bernstein semigroup
• Steklov operators and semigroups in weighted spaces of continuous real functions
• Ohlin and Levin-Stečkin-type results for strongly convex functions
• Voronovskaya type results for special sequences of operators
• Ulam stability of operators
• Some results for the inverse of a Bernstein-Schnabl type operator
• A Bernstein-Schnabl type operator: Applications to difference equations
• Steklov averages as positive linear operators
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