On certain integral means of functions of generalized bounded variation

DOI10.1515/GMJ-2019-2051zbMath1462.42005OpenAlexW2980990275WikidataQ127023014 ScholiaQ127023014MaRDI QIDQ2021431

A. N. Bakhvalov

Publication date: 27 April 2021

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2019-2051

zbMATH Keywords

generalized variationsummability kernels

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Fourier series and coefficients in several variables (42B05) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

• Unnamed Item
• Cesaro summation of Fourier series of functions from multidimensional Waterman classes
• On the convergence of generalized Cesáro means of trigonometric Fourier series. I
• On the convergence of generalized Cesáro means of trigonometric Fourier series. II
• On the local behaviour of the multidimensional Λ-variation
• On the Magnitude of Fourier Coefficients
• On the summability of Fourier series of functions of Λ-bounded variation
• A SUMMABILITY METHOD FOR FOURIER SERIES OF FUNCTIONS OF GENERALIZED BOUNDED VARIATION
• Two-dimensional Waterman classes and $ u$-convergence of Fourier series
• On convergence of Fourier series of functions of generalized bounded variation

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