some absolutely effective product methods

some absolutely effective product methods

;H. P. Dikshit;J. A. Fridy
structural engineering and mechanics 1992 Vol. 15 pp. 641-651
97
dikshit1992internationalsome

Abstract

It is proved that the product method A(C,1), where (C,1) is the Cesàro arithmetic mean matrix, is totally effective under certain conditions concerning the matrix A. This general result is applied to study absolute Nörlund summability of Fourier series and other related series.

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