Some inequalities of trigonometric approximation in weighted orlicz spaces

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Walter de Gruyter GMBH

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info:eu-repo/semantics/openAccess

Özet

In the present work, we proved a refined direct theorem and an exact inverse theorem of trigonometric approximation in Orlicz spaces with weights satisfying some Muckenhoupt's A(p) condition. As a consequence, refined Marchaud inequality and its inverse are obtained.

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Weighted Fractional Modulus of Smoothness, Direct Theorem, Inverse Theorem, Fractional Derivative, Orlicz Spaces, Trigonometric Polynomial Approximation

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Mathematica Slovaca

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66

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1

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Onay

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