Title of article :
A certain family of mixed summationintegral-type Lupaş-Phillips-Bernsteinoperators
Author/Authors :
Sharma, Honey National Institute of Technology - Department of Mathematics, India , Aujla, Jaspal Singh National Institute of Technology - Department of Mathematics, India
Abstract :
Purpose: The purpose of this paper is to introduce the mixed summation-integral-type Lupaş-Phillips-Bernstein operators.Methods: Firstly, we compute the moments of the operators. We use the method of Korovkin-type statistical approximation and modulus of continuity.Results: We find the rate of convergence of the modified operators using statistical convergence and modulus of continuity.Conclusions: The rate of convergence of the modified mixed operators is sufficiently sharp.
Keywords :
q , integers , q , integration , Lupas¸ operator , q , Bernstein operator , Statistical convergence , Modulus of continuity
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
