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2023/103/3-4 (10) — DOI: 10.5486/PMD.2023.9550 — pp. 473-487

Order of multiple rational Fourier coefficients for functions of generalized Wiener class

Authors: Hardeepbhai J. Khachar and Rajendra G. Vyas

Abstract:

The order of magnitude of single and multiple rational Fourier coefficients for functions of the generalized Wiener class is estimated. Thus, these results generalize already existing analogous results of Fourier coefficients, where the order of magnitude of single and multiple Fourier coefficients for functions of the same generalized class were estimated.

Keywords: generalized bounded variation, rational orthogonal system, rational Fourier series, generalized Wiener class

Mathematics Subject Classification: 42C10, 42B05, 26B30, 26D15