The present papers deals with the general integral modification of the Szász -Mirakyan operators having the weight functions of Baskakov basis functions. Here we estimate the rate of convergence for functions having derivatives of bounded variation.
10 July 2023 in Mediterranean Journal of Mathematics
We define a (p,q) analogue of Gamma function. As an application, we propose (p,q)-Sz?sz-Durrmeyer operators, estimate moments and establish some direct results.
The present paper deals with a new type of Bernstein-Durrmeyer operators on mobile interval. First, we represent the operators in terms of hypergeometric series. We also establish local and global approximation results for these operators in terms of modulus of continuity. We obtain an asymptotic formula for these operators and in the last section we present better error estimation for the operators using King type approach