Approximation for Certain Stancu Type Summation Integral Operator

On A Certain Modified Mixed Summation-Integral Type Operator

Approximation Properties of Certain Summation Integral Type Operators

n` k ́ 1 k ̇ xk p1` xqn`k , bn,kptq “ 1 Bpn` 1, kq tk ́1 p1` tqn`k`1 . Gupta et al. [12] studied pointwise convergence, an asymptotic formula and error estimation for the operators Bnpf, ̈q. Recently, Govil and Gupta [7] studied some approximation properties for the operators Bnpf, ̈q and estimated local results in terms of modulus of continuity. Generalization of the operators (1.1) with parameter ...

Approximation Properties of Some Modified Summation-Integral Type Operator

In the present paper, we introduce some Stancu type generalization of Szász-Mirakyan-Baskakov type operators. We estimate the moments for these operators using the hypergeometric series, which can be related to Laguerre polynomials. We estimate point wise convergence, asymptotic expansion and error estimate in terms of higher order modulus of continuity of function in simultaneous approximation...

Local Approximation Estimates for a Certain Family of Summation-Integral Type Operators

In 1988, Felten obtained local and global approximation theorems for positive linear operators. In the last decade, Finta studied direct local and global approximation theorems for Baskakov type operators and SzaszMirakian type operators. In the present paper, we establish some local approximation estimates for a new family of beta operators, by using Ditzian-Totik modulus of smoothness.

Approximation for a Summation-integral Type Link Operators

The present article deals with the general family of summationintegral type operators. Here, we propose the Durrmeyer variant of the generalized Lupaş operators considered by Abel and Ivan (General Math. 15 (1) (2007) 21-34) and study local approximation, Voronovskaja type formula, global approximation, Lipchitz type space and weighted approximation results. Also, we discuss the rate of converg...