Email this article On recovery of coefficients of Franklin series with a “good” majorant of partial sums
- Authors: Gevorkyan G.G.1, Poghosyan M.P.2
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Affiliations:
- Yerevan State University
- Yerevan State University, American University of Armenia
- Issue: Vol 52, No 5 (2017)
- Pages: 254-260
- Section: Real and Complex Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228085
- DOI: https://doi.org/10.3103/S1068362317050053
- ID: 228085
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Abstract
In this paper, we obtain recovery formulas for coefficients of multiple Franklin series by means of its sum, if the series satisfies the following conditions: 1) the square partial sums with indices 2ν converge almost everywhere, 2) the majorant of partial sums with indices 2ν satisfies some necessary condition.
About the authors
G. G. Gevorkyan
Yerevan State University
Author for correspondence.
Email: ggg@ysu.am
Armenia, Yerevan
M. P. Poghosyan
Yerevan State University, American University of Armenia
Email: ggg@ysu.am
Armenia, Yerevan
