On the power integrability with a weight of trigonometric series from R B V S r , δ + , ω class

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On the power integrability with a weight of trigonometric series from R B V S r , δ + , ω class Xhevat Krasniqi Krasniqi

In this article, we have presented the necessary and sufficient conditions for the power integrability with a weight of the sum of sine and cosine series whose coefficients belong to the RBVSr,δ+,ωRBVS+,ωr,δ class.

DOI: 10.52737/18291163-2020.12.8-1-15 Armenian Journal of Mathematics, 12(8) 1-15

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Keywords

L p − integrability, Trigonometric series, Almost monotone sequence, Rest bounded variation sequence, Modulus of continuity

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