A Generalization of Sz´asz-type Operators Including Stirling Polynomial

Abstract

A discrete positive linear operators based on Stilring polynomials is studied here. As per our knowledge, the approximation of these operators have not been studied earlier. We proved a convergence theorem for these operators and give the quantitative estimation of the approximation process by using a classical approach and the second modulus of continuity. The paper contains also the graphical representation based on Mathematica, which verify the approximation properties of these operators. As per the calculations in the paper, we have observed that the composition of these operators with some integral operators provide us a summation-integral type operator, which can be a new source of study for further research.