New Criteria for Starlikness and Convexity of a Certain Family of Integral Operators

On the Convexity of Certain Integral Operators

In this paper we consider the classes of starlike functions of order α, convex functions of order α and we study the convexity and α-order convexity for some general integral operators. Several corollaries of the main results are also considered.

New Criteria for Univalence of Certain Integral Operators

Some criteria for univalence of certain integral operators

We derive some criteria for univalence of certain integral operators for analytic functions in the open unit disk. 1. Introduction. Let Ꮽ be the class of the functions f (z) which are analytic in the open unit disk U = {z ∈ C : |z| < 1} and f (0) = f (0) − 1 = 0.

Some general univalence criteria for a family of integral operators

The purpose of the present paper is to extend the univalent condition of some integral operators. Relevant connections of the results presented here with various known results are briefly indicated. Further, we improve some recent results of ([4,8,9]).

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...