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Convergence of matrix means of Mellin-Fourier series. (English) Zbl 1346.42005

Summary: Mellin analysis, a counterpart of the Fourier analysis, has been a field for growing interest for researchers in the last four decades. In this paper, we aim to study convergence of the Mellin-Fourier series of the recurrent functions through its matrix means. Our theorem generalizes some of the results of P. L. Butzer and S. Jansche [Comput. Math. Appl. 40, No. 1, 49–62 (2000; Zbl 0959.44006)].

MSC:

42A20 Convergence and absolute convergence of Fourier and trigonometric series
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
44A99 Integral transforms, operational calculus
40C05 Matrix methods for summability

Citations:

Zbl 0959.44006
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