Convergence Analysis of The Multi‐Dimensional Fourier Series in Sobolev Spaces by Using Hausdorff Matrices

ABSTRACT In this work, we delve into the convergence analysis concerning a function represented by double Fourier series within Sobolev spaces. Further, we expand our convergence analysis for N‐dimensional Fourier series.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2026-04-22
DOI
https://doi.org/10.1002/mma.70707
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

Convergence Analysis of The Multi‐Dimensional Fourier Series in Sobolev Spaces by Using Hausdorff Matrices

Hare Krishna Nigam, Lav Kush Kumar
Mathematical Methods in the Applied Sciences
Approximation Theory and Sequence Spaces
article

Convergence Analysis of The Multi‐Dimensional Fourier Series in Sobolev Spaces by Using Hausdorff Matrices

Hare Krishna Nigam, Lav Kush Kumar
article en

Abstract

ABSTRACT In this work, we delve into the convergence analysis concerning a function represented by double Fourier series within Sobolev spaces. Further, we expand our convergence analysis for N‐dimensional Fourier series.

Mathematical Methods in the Applied Sciences
Central University of South Bihar (IN)
Reduced inequalities
Openalex Percentile: Top 7%
Approximation Theory and Sequence Spaces
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Convergence Analysis of The Multi‐Dimensional Fourier Series in Sobolev Spaces by Using Hausdorff Matrices — Hare Krishna Nigam, Lav Kush Kumar · Mathematical Methods in the Applied Sciences (2026) | TGRS Research Map | TGRS