Approximation of functions in a certain Banach space by some generalized singular integrals

Approximation of functions in a certain Banach space by some generalized singular integrals

We introduced the $ q $-Picard, the $ q $-Picard-Cauchy, the $ q $-Gauss-Weierstrass, and the $ q $-truncated Picard singular integrals. Using the last three mentioned integrals, the orders of approximation for functions from a generalized Hölder space were determined, both in the $ L^{p} $-norm and...

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Bibliographic Details
Main Author: Xhevat Z. Krasniqi
Format: Article
Language:English
Published: AIMS Press 2024-01-01
Series:AIMS Mathematics
Subjects:
degree of approximation
$ q $-singular integrals
modulus of continuity
generalized hölder class
generalized minkowski inequality
Online Access:https://aimspress.com/article/doi/10.3934/math.2024166?viewType=HTML

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https://aimspress.com/article/doi/10.3934/math.2024166?viewType=HTML

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