Convergence of Fourier Series in L^1-Metric using y- General Monotone Coefficients

In the present article , We have extended the result of S. Tikhonov[8] and used y-general monotone coefficients to prove the L^1 -convergence of the trigonometric series. Also,"||g-Sn||≡o(1)" considered as , the necessary and sufficient condition for the convergence in terms of coefficients.

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Publication Details

Journal
Advances in Nonlinear Variational Inequalities
Published
2024-12-10
DOI
https://doi.org/10.52783/anvi.v28.2700
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

Convergence of Fourier Series in L^1-Metric using y- General Monotone Coefficients

Sakshi Sakshi
Advances in Nonlinear Variational Inequalities
Approximation Theory and Sequence Spaces
article

Convergence of Fourier Series in L^1-Metric using y- General Monotone Coefficients

Sakshi Sakshi
article en

Abstract

In the present article , We have extended the result of S. Tikhonov[8] and used y-general monotone coefficients to prove the L^1 -convergence of the trigonometric series. Also,"||g-Sn||≡o(1)" considered as , the necessary and sufficient condition for the convergence in terms of coefficients.

Advances in Nonlinear Variational InequalitiesVol. 28(2s)
Openalex Percentile: Top 75%
Approximation Theory and Sequence Spaces
DOIOpen Access PDFOpenAlex
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Convergence of Fourier Series in L^1-Metric using y- General Monotone Coefficients — Sakshi Sakshi · Advances in Nonlinear Variational Inequalities (2024) | TGRS Research Map | TGRS