Summation-Integral Type Operators Based on Lupas-Jain Functions

On a Hybrid Family of Summation Integral Type Operators

The present paper deals with the study of the mixed summation integral type operators having Szász and Baskakov basis functions in summation and integration respectively. Here we obtain the rate of point wise convergence, a Voronovskaja type asymptotic formula, an error estimate in simultaneous approximation. We also study some local direct results in terms of modulus of smoothness and modulus ...

Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators

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...

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 ...

Integral operators on Ma-Minda type starlike and convex functions

Keywords: Analytic functions Differential subordination Ma–Minda type starlike and convex functions Integral operators a b s t r a c t Two integral operators on the classes consisting of normalized p-valent Ma–Minda type starlike and convex functions are considered. Functions in these classes have the form zf ′ (z)/f (z) ≺ pϕ(z) and 1 + zf ′′ (z)/f ′ (z) ≺ pϕ(z) respectively, where ϕ is a conve...