On the Coefficients of Multiple Series with Respect to Vilenkin System

Francesco Tulone; Valentin A. Skvortsov

On the Coefficients of Multiple Series with Respect to Vilenkin System

Francesco Tulone, Valentin A. Skvortsov

Matematica e Informatica

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We give a sufficient condition for coefficients of double series ∑∑ n,m a n,m χ n,m with respect to Vilenkin system to be convergent to zero when n + m →∞. This result can be applied to the problem of recovering coefficients of a Vilenkin series from its sum

Original language	English
Pages (from-to)	81-92
Number of pages	12
Journal	Tatra Mountains Mathematical Publications
Volume	68
Publication status	Published - 2017

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "On the Coefficients of Multiple Series with Respect to Vilenkin System",

abstract = "We give a sufficient condition for coefficients of double series ∑∑ n,m a n,m χ n,m with respect to Vilenkin system to be convergent to zero when n + m →∞. This result can be applied to the problem of recovering coefficients of a Vilenkin series from its sum",

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year = "2017",

language = "English",

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T1 - On the Coefficients of Multiple Series with Respect to Vilenkin System

AU - Tulone, Francesco

AU - Skvortsov, Valentin A.

PY - 2017

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N2 - We give a sufficient condition for coefficients of double series ∑∑ n,m a n,m χ n,m with respect to Vilenkin system to be convergent to zero when n + m →∞. This result can be applied to the problem of recovering coefficients of a Vilenkin series from its sum

AB - We give a sufficient condition for coefficients of double series ∑∑ n,m a n,m χ n,m with respect to Vilenkin system to be convergent to zero when n + m →∞. This result can be applied to the problem of recovering coefficients of a Vilenkin series from its sum

UR - http://hdl.handle.net/10447/248689

UR - https://www.degruyter.com/downloadpdf/j/tmmp.2017.68.issue-1/tmmp-2017-0007/tmmp-2017-0007.pdf

M3 - Article

VL - 68

SP - 81

EP - 92

JO - Tatra Mountains Mathematical Publications

JF - Tatra Mountains Mathematical Publications

SN - 1210-3195

ER -