Published January 1, 2016 | Version v1
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SOME INEQUALITIES OF TRIGONOMETRIC APPROXIMATION IN WEIGHTED ORLICZ SPACES

  • 1. Balikesir Univ, Fac Arts & Sci, Dept Math, TR-10145 Cagis Yerleskesi, Balikesir, Turkey

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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. (C) 2016 Mathematical Institute Slovak Academy of Sciences

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