Geodesic
Rate of convergence of certain Fourier series of functions of generalized bounded variation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2024), pp. 3-17 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we discuss the rate of convergence of the rational Fourier series and conjugate rational Fourier series of functions of generalized bounded variation. In particular, well-known Wiener's and Siddiqi's theorems for functions of $p$-bounded variation are proved in more general complete rational orthogonal system. Also some results are obtained for a class of functions wider than the class of functions of bounded variation and of $\{n^{\alpha}\}$-bounded variation.
Keywords: Fourier series, rational Fourier series, pointwise convergence, rate of convergence, $p$-$\Lambda$-bounded variation. 
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R. K. Bera; B. L. Ghodadra. Rate of convergence of certain Fourier series of functions of generalized bounded variation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2024), pp. 3-17. http://geodesic.mathdoc.fr/item/IVM_2024_10_a0/

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