Some Functionals and Approximation Operators Associated with a Family of Discrete Probability Distributions

Abstract

A certain discrete probability distribution was considered in [“A discrete probability distribution and some applications”, Mediterr. J. Math., 2023]. Its basic properties were investigated and some applications were presented. We now embed this distribution into a family of discrete distributions depending on two parameters and investigate the properties of the new distributions.

Keywords

• probability distribution
• positive linear operators
• convexity properties
• stochastic convex ordering
• quadrature formula