Approximation by Stancu type Jakimovski-Leviatan-Păltănea operators

Abstract

The present article deals with the general family of summation-integral type operators. Here, we introduce the Stancu type generalization of the Jakimovski-LeviatanPăltănea operators and study Voronovskaja-type asymptotic theorem, local approximation, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Also, we propose a king type modification of these operators to obtain better estimates.