On convergence of Chlodovsky type Durrmeyer polynomials in variation seminorm

Abstract

This paper deals with the variation detracting property and rate of approximation of the Chlodovsky type Durrmeyer polynomials in the space of functions of bounded variation with respect to the variation seminorm.

Keywords

• convergence in variation seminorm
• Chlodovsky polynomials
• Durrmeyer polynomials
• rate of convergence
• absolutely continuous functions