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

#### Armenian Journal of Mathematics

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 Field Value Title On the power integrability with a weight of trigonometric series from $RBVS_{+,\omega}^{r,\delta }$ class Creator Krasniqi, Xhevat Subject $L^p-$integrability Trigonometric series Almost monotone sequence Rest bounded variation sequence Modulus of continuity 42A32 46E30 Description In this article, we have presented the necessary and sufficient conditions for thepower integrability with a weight of the sum of sine and cosine series whosecoefficients belong to the $RBVS_{+,\omega}^{r,\delta }$ class. Publisher National Academy of Sciences of Armenia Date 2020-09-02 Type info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article Format application/pdf Identifier http://armjmath.sci.am/index.php/ajm/article/view/409 Source Armenian Journal of Mathematics; Vol. 12 No. 8 (2020): On the power integrability with a weight of trigonometric series from $RBVS_{+,\omega}^{r,\delta }$ class 1829-1163 Language eng Relation http://armjmath.sci.am/index.php/ajm/article/view/409/161 Rights Copyright (c) 2020 Armenian Journal of Mathematics http://creativecommons.org/licenses/by/4.0