Displaying similar documents to “Several theorems about uniform convergence of the Fourier series”

On the uniform convergence of weighted trigonometric series

Bogdan Szal (2011)

Banach Center Publications

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In the present paper we consider a new class of sequences called GM(β,r), which is the generalization of a class defined by Tikhonov in [15]. We obtain sufficient and necessary conditions for uniform convergence of weighted trigonometric series with (β,r)-general monotone coefficients.