Application of the even-type delayed mean in the approximation of functions from the generalized Zygmund class with weight

Authors

  • Xhevat Z. Krasniqi Department of Mathematics and Informatics, Faculty of Education, University of Prishtina, Kosovo

DOI:

https://doi.org/10.3842/umzh.v77i3.7670

Keywords:

Degree of approximation, Fourier series, Zygmund class with weight, modulus of continuity, even-delayed mean.

Abstract

UDC 517.5

We introduce a new class of functions, namely, the generalized Zygmund class with weight. Moreover, we determine the degree of approximation for functions belonging to this class. The degree of approximation is expressed in terms of two moduli of continuity of the second order  $w_1$ and $w_2$ such that $w_1/w_2$ is positive and nondecreasing. To realize this task, for approximation we use the even-type delayed mean of their Fourier series.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 3, 2025.

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Published

07.11.2025

Issue

Vol. 77 No. 3 (2025)

Section

Research articles

License

Copyright (c) 2025 Xhevat Z. Krasniqi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Krasniqi, Xhevat Z. “Application of the Even-Type Delayed Mean in the Approximation of Functions from the Generalized Zygmund Class With Weight”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 3, Nov. 2025, p. 233, https://doi.org/10.3842/umzh.v77i3.7670.