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