Singh, Uaday; Singh, Birendra Convergence of matrix means of Mellin-Fourier series. (English) Zbl 1346.42005 Palest. J. Math. 5, Spec. Iss., 269-274 (2016). 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)]. Cited in 2 Documents 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 Keywords:recurrent functions; Mellin transform; Mellin-Fourier series; matrix means Citations:Zbl 0959.44006 PDFBibTeX XMLCite \textit{U. Singh} and \textit{B. Singh}, Palest. J. Math. 5, 269--274 (2016; Zbl 1346.42005) Full Text: Link