2017; Physical and Mathematical Sciences, 51(3 (244): 241–249
Shared with The Gufo

UNIQUENESS THEOREMS FOR MULTIPLE FRANKLIN SERIES

K. Navasardyan*

Received: 2025-02-05 · Published: 2017-12-15

© 2017 The Author(s) and the original publisher.

CC BY-NC 4.0 This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Shared article.
Original title
UNIQUENESS THEOREMS FOR MULTIPLE FRANKLIN SERIES
Author
K. Navasardyan
Published
2017-12-15
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PYSU:A/2017.51.3.241

Abstract

It is proved, that if the square partial sums σqn(x) of a multiple Franklin series converge in measure to a function f, the ratio qn+1qn is bounded and the majorant of partial sums satisfies to a necessary condition, then the coefficients of the series are restored by the function f.
1 / ? 100% Open in new tab Download Cite

Loading the full text…

Download Follow Updates