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A note on the strong summability of two-dimensional Walsh–Fourier series

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Abstract In this paper, we investigate the strong summability of two-dimensional Walsh–Fourier series obtained in [F. Weisz, Strong convergence theorems for two-parameter Walsh–Fourier and trigonometric-Fourier series, Studia Math. 117 1996,… Click to show full abstract

Abstract In this paper, we investigate the strong summability of two-dimensional Walsh–Fourier series obtained in [F. Weisz, Strong convergence theorems for two-parameter Walsh–Fourier and trigonometric-Fourier series, Studia Math. 117 1996, 2, 173–194] (see Theorem W) and prove the sharpness of this result.

Keywords: summability two; walsh fourier; two dimensional; fourier series; strong summability

Journal Title: Georgian Mathematical Journal
Year Published: 2020

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