On the mean summability by Cesaro method of Fourier trigonometric series in two-weighted setting

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On the Mean Summability by Cesaro Method of Fourier Trigonometric Series in Two-weighted Setting

It is well known that (see [9]) Cesaro means of 2π-periodic functions f ∈ Lp(T) (1 ≤ p ≤ ∞) converges by norms. Hereby T is denoted the interval (−π,π). The problem of the mean summability in weighted Lebesgue spaces has been investigated in [6]. A 2π-periodic nonnegative integrable function w : T→R1 is called a weight function. In the sequel by L p w(T), we denote the Banach function space of ...

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2006

ISSN: 1025-5834,1029-242X

DOI: 10.1155/jia/2006/41837