UNIQUENESS THEOREMS FOR MULTIPLE FRANKLIN SERIES

Authors

  • K.A. Navasardyan Chair of Numerical Analysis and Mathematical Modelling, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2017.51.3.241

Keywords:

majorant of partial sums, $A$-integral, uniqueness.

Abstract

It is proved, that if the square partial sums $\sigma_{q_n}(\textbf{x})$ of a multiple Franklin series converge in measure to a function $f$, the ratio $\dfrac{q_{n+1}}{q_n}$ is bounded and the majorant of partial sums satisfies to a necessary condition, then the coefficients of the series are restored by the function $f$.

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Published

2017-12-15

How to Cite

Navasardyan, K. (2017). UNIQUENESS THEOREMS FOR MULTIPLE FRANKLIN SERIES. Proceedings of the YSU A: Physical and Mathematical Sciences, 51(3 (244), 241–249. https://doi.org/10.46991/PYSU:A/2017.51.3.241

Issue

Section

Mathematics