Mixed modulus of continuity in the Lebesgue spaces with Muckenhouptweights and their properties
- 1 January 2016
- journal article
- research article
- Published by The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS in TURKISH JOURNAL OF MATHEMATICS
- Vol. 40 (6), 1169-1192
- https://doi.org/10.3906/mat-1507-92
Abstract
Main properties of the mixed modulus of continuity in the Lebesgue spaces with Muckenhoupt weights are investigated. We use the mixed modulus of continuity to obtain Potapov type direct and inverse estimates of angular trigonometric approximation of functions in these spaces. We prove an equivalence between the mixed modulus of continuity and K-functional and realization functional.Keywords
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