论文信息 - Some approximation properties for generalized Srivastava- Gupta operators

Some approximation properties for generalized Srivastava- Gupta operators

The present paper deals with a sequence of modified genuine summation-integral type operators, which is a generalization to the work done by Yadav (2014) 18. In ordinary approximation, we estimate a global result, asymptotic formula of Voronovskaja kind, error estimation in terms of modulus of continuity and also study weighted approximation for the case c ? N ? { 0 } , which are compared graphically using MATLAB. Further, we discuss the rate of convergence for c = - 1 .

Neha Malik | Neha Malik

[1] A. Aral,et al. DIRECT ESTIMATES FOR LUPAS-DURRMEYER OPERATORS , 2016 .

[2] Vijay Gupta,et al. Approximation for genuine summation-integral type link operators , 2015, Appl. Math. Comput..

[3] Hari M. Srivastava,et al. A certain family of summation-integral type operators , 2003 .

[4] N. Ispir. On Modified Baskakov Operators on Weighted Spaces , 2001 .

[5] P. Sharma. On Modified Srivastava-Gupta Operators , 2015 .

[6] I. Yuksel,et al. Weighted Approximation by a Certain Family of Summation Integral-Type Operators , 2006, Comput. Math. Appl..

[7] Error estimation for mixed summation-integral type operators , 2006 .

[8] P. N. Agrawal,et al. Convergence in simultaneous approximation for Srivastava-Gupta operators , 2012 .

[9] Rani Yadav. Approximation by modified Srivastava-Gupta operators , 2014, Appl. Math. Comput..

[10] D. Konaté. Asymptotic Analysis of Singularly Perturbed Abstract Evolution Equations in Banach and Hilbert Spaces , 2002 .

[11] N. Ispir,et al. ON THE BEZIER VARIANT OF SRIVASTAVA-GUPTA OPERATORS , 2005 .

[12] R. Phillips. AN INVERSION FORMULA FOR LAPLACE TRANSFORMS AND SEMI- GROUPS OF LINEAR OPERATORS' , 1954 .