The Best Approximation of Algebraic Polynomials in Exponentially Weighted Orlicz Spaces

Lin Chen, Garidi Wu

Abstract


In this paper, we study the best approximation of algebraic polynomials in exponentially weighted Orlicz spaces. By using Holder inequality, Minkowski inequality, de la vallee Poussin mean and related analysis skills, we obtain two results about best algebraic approximation and corresponding convergence theorems.

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