Title of article :
Approximation properties of q-Baskakov-Durrmeyer-Stancu operators
Author/Authors :
Mishra, Vishnu Narayan Sardar Vallabhbhai National Institute of Technology - Department of Applied Mathematics Humanities, India , Patel, Prashantkumar Sardar Vallabhbhai National Institute of Technology - Department of Applied Mathematics Humanities, India
Abstract :
Purpose: The purpose of this paper is to introduce and study the Baskakov- Durrmeyer- Stancu operators based on q-integers. Methods: First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point-wise estimation for the operators L^(α,β)_ n,q . Results: We studied better error estimations for these operators using King type approach. Conclusions: The results proposed here are new and have a better rate of convergence.
Keywords :
Baskakov , Durrmeyer , Stancu operators , Point , wise convergent , q , calculus , Asymptotic formula , Rate of convergence
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
