Demonstrates best approximation results for algebraic polynomials in Orlicz spaces, suggesting convergence theorems for analysis.
In this paper, we study the best approximation of algebraic polynomials in exponentially weighted Orlicz spaces. By using H?lder inequality, Minkowski inequality, de la vall?e Poussin mean and related analysis skills, we obtain two results about best approximation of algebraic polynomials and corresponding convergence theorems.
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Chen et al. (2025) studied this question.