Estimates of Lp Modulus of Continuity of Generalized Bounded Variation Classes

Some sharp estimates of the Lp1≤p<∞ modulus of continuity of classes of Λφ-bounded variation are obtained. As direct applications, we obtain estimates of order of Fourier coefficients of functions of Λφ-bounded variation, and we also characterize some sufficient and necessary conditions for the e...

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Bibliographic Details
Main Authors: Heping Wang, Zhaoyang Wu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/201801