Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces

Authors : Hüseyin KOÇ, Ramazan AKGÜN

Pages : 1108-1119

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Publication Date : 2018-10-16

Article Type : Research Paper

Abstract :The paper deals with basic properties of averaged modulus of smoothness in Orlicz spaces $L^*_\varphi$. Some direct and inverse two-sided approximation problems in $L^*_\varphi$ are proved. In the last section, some inequalities concerning monotone two sided approximation by trigonometric polynomials in  $L^*_\varphi$ are considered.
Keywords : Orlicz spaces, Averaged modulus of smoothness