- Turkish Journal of Mathematics
- Vol: 42 Issue: 3
- Jakimovski-Leviatan operators of Durrmeyer type involving Appell polynomials
Jakimovski-Leviatan operators of Durrmeyer type involving Appell polynomials
Authors : Pooja Gupta, Purshottam Narain Agrawal
Pages : 1457-1470
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :The purpose of the present paper is to establish the rate of convergence for a Lipschitz-type space and obtain the degree of approximation in terms of Lipschitz-type maximal function for the Durrmeyer type modification of Jakimovski-Leviatan operators based on Appell polynomials. We also study the rate of approximation of these operators in a weighted space of polynomial growth and for functions having a derivative of bounded variation.Keywords : Jakimovski-Leviatan-Durrmeyer-type operators, Appell polynomials, weighted modulus of continuity, bounded variation