What question did this study set out to answer?

The research aims to explore the optimal approximation of algebraic polynomials within exponentially weighted Orlicz spaces.

February 9, 2026Open Access

The best approximation of algebraic polynomials in exponentially weighted Orlicz spaces

Key Points

The research aims to explore the optimal approximation of algebraic polynomials within exponentially weighted Orlicz spaces.
Application of Hölder inequality
Use of Minkowski inequality
Analysis of de la Vallée Poussin mean
Derivation of convergence theorems
Established two significant results about best approximation of algebraic polynomials
Formulated convergence theorems related to the approximations

Abstract

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.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Chen et al. (Wed,) studied this question.

synapsesocial.com/papers/69897a35f0ec2af6756e8992 https://doi.org/https://doi.org/10.2298/fil2510501c

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Bookmark

View Full Paper