Email this article On Lp-integrability of a special double sine series formed by its blocks
- Authors: Krasniqi X.Z.1
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Affiliations:
- University of Prishtina
- Issue: Vol 52, No 1 (2017)
- Pages: 48-53
- Section: Real and Complex Analysis
- URL: https://journal-vniispk.ru/1068-3623/article/view/228001
- DOI: https://doi.org/10.3103/S106836231701006X
- ID: 228001
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Abstract
In this paper we deal with a special double sine trigonometric series formed by its blocks. This type of trigonometric series is of particular interest since its blocks always are bounded, that is, under some additional assumptions the sum-function of such series always exists. We give some conditions under which such sum-function is integrable of power p ∈ {2, 3,... }, as well as is integrable with some natural weight.
About the authors
Xh. Z. Krasniqi
University of Prishtina
Author for correspondence.
Email: xhevat.krasniqi@uni-pr.edu
Serbia, Prishtina
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