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Turkish Journal of Mathematics

Authors

RAMAZAN AKGÜN

DOI

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.

First Page

1169

Last Page

1192

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