On the power integrability with a weight of trigonometric series from $RBVS_{+,\omega}^{r,\delta }$ class

Xhevat Krasniqi

doi:10.52737/18291163-2020.12.8-1-15

Authors

Xhevat Krasniqi University of Prishtina

DOI:

https://doi.org/10.52737/18291163-2020.12.8-1-15

Keywords:

$L^p-$integrability, Trigonometric series, Almost monotone sequence, Rest bounded variation sequence, Modulus of continuity

Abstract

In this article, we have presented the necessary and sufficient conditions for the power integrability with a weight of the sum of sine and cosine series whose coefficients belong to the $RBVS_{+,\omega}^{r,\delta }$ class.

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