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Direct and inverse approximation theorems of functions in the Orlicz type spaces ????M

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Abstract In the Orlicz type spaces ????M, we prove direct and inverse approximation theorems in terms of the best approximations of functions and moduli of smoothness of fractional order. We… Click to show full abstract

Abstract In the Orlicz type spaces ????M, we prove direct and inverse approximation theorems in terms of the best approximations of functions and moduli of smoothness of fractional order. We also show the equivalence between moduli of smoothness and Peetre K-functionals in the spaces ????M.

Keywords: approximation theorems; type spaces; orlicz type; direct inverse; inverse approximation

Journal Title: Mathematica Slovaca
Year Published: 2019

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