Inequalities for derivative of polynomial approximation with Erdos type weight

TL;DR

This paper extends known inequalities for the derivatives of polynomial approximations from Freud weights to Erdos type weights, broadening the understanding of polynomial approximation under different weight functions.

Contribution

It provides the first derivation of inequalities for polynomial derivatives with Erdos type weights, complementing existing results for Freud weights.

Findings

Established inequalities for polynomial derivatives with Erdos type weights.

Demonstrated the parallels between Freud and Erdos weight cases.

Extended the theoretical framework of polynomial approximation inequalities.

Abstract

H. N. Mhaskar obtained the inequalities for derivative of polynomial approximation with Freud type weight. In this paper, we showed the counterpart of the inequalities with Erdos type weight.