On the speed of approximation in the classes of ψ̅-integrals
2023; Issue: 1 Linguagem: Inglês
10.7153/jca-2023-21-02
ISSN1848-5979
AutoresSİbel Yasemİn Gölbol, Ug̃ur Deg̃er,
Tópico(s)Approximation Theory and Sequence Spaces
ResumoThe concept of the ψ -integrals introduced by A. I. Stepanets who has brought a new perspective in the theory of Fourier series, especially in approximation theory.The main objective of this study is to get the speed of approximation to the functions of the class ψ -integrals by generalized Zygmund sums, Woronoi-Nörlund and Riesz means, responding to the solution of the Kolmogorov-Nikol'skii problem under the uniform norm.
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