On Stancu-type Integral Generalization of modified Jain Operators

Abstract

In this paper, we introduce a Stancu-type integral generalization of modified Lupas-Jain operators. First, we discuss some auxillary results and then using them we represent a Korovkin-type theorem for these operators. Next, we explore a Voronovkaja-type asymptotic result and then find a quantitative estimation for the defined operators.Also, we examine their rate of convergence with the help of
modulus of continuity and the Peetre's K-functional. Lastly, we propose a convergence result for the Lipschitz-type class of functions.