On some linear operators defined by double integrals

About some linear operators defined by infinite sums

In this paper we study a general class of linear operators defined by infinite sum. In particular, we obtain the convergence and the evaluation for the rate of convergence in therm of the first modulus of smoothness for the Mirakjan-Favard-Szász, Meyer-König and Zeller operators.

Some characterizations based on double aggregation operators

Double aggregation operators are introduced and several basic properties are studied, as neutral and annihilator elements, idempotency, etc., which are illustrated by some examples. The classes of additive and comonotone additive double aggregation operators are characterized.

SOME RESULTS OF p−VALENT FUNCTIONS DEFINED BY INTEGRAL OPERATORS

In this paper, we derive some properties for Gp,n,l,δ(z) and Fp,n,l,δ(z) considering the classes MT (p, βi, μi) , KD (p, βi, μi) and Np (γ). Two new subclasses KDFp,n,l (β, μ, δ1, δ2, ..., δn) and KDGp,n,l (β, μ, δ1, δ2, ..., δn) are defined. Necessary and sufficient conditions for a family of functions fi and gi, respectively, to be in the KDFp,n,l (β, μ, δ1, δ2, ..., δn) and KDGp,n,l (β, μ, δ...

On some fuzzy positive and linear operators

The purpose of this work is to show that fuzzy Bernstein-Stancu operators introduced in [3] satisfy an A-statistical version of fuzzy Korovkin theorem. Some properties of these operators are also proved. An example of new fuzzy positive and linear operators is presented.

Univalence of Certain Linear Operators Defined by Hypergeometric Function