On Rogosinski-type approximation processes in Banach space using the framework of the cosine operator function

DOI10.3934/MFC.2021030OpenAlexW3213958391MaRDI QIDQ2087573

Anna Saksa, Andi Kivinukk

Publication date: 21 October 2022

Published in: Mathematical Foundations of Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mfc.2021030

zbMATH Keywords

modulus of continuitydegree of approximationcosine operator functionRogosinski-type approximation processes

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Cites Work

• Inequalities of the type of the generalized Jackson theorem for the best approximations
• The foundations of fractional calculus in the Mellin transform setting with applications
• The sampling theorem and linear prediction in signal analysis
• Chebyshev transform methods in the theory of best algebraic approximation
• A direct approach to the Mellin transform
• Estimates for functionals with a known, finite set of moments, in terms of moduli of continuity, and behavior of constants, in the Jackson-type inequalities
• Steklov averages as positive linear operators
• On a cosine operator function framework of approximation processes in Banach space
• On the measure of approximation for some linear means of trigonometric Fourier series
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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 Rogosinski-type approximation processes in Banach space using the framework of the cosine operator function