some concavity properties for general integral operators
نویسندگان
چکیده
let $c_0(alpha)$ denote the class of concave univalent functions defined in the open unit disk $mathbb{d}$. each function $f in c_{0}(alpha)$ maps the unit disk $mathbb{d}$ onto the complement of an unbounded convex set. in this paper, we study the mapping properties of this class under integral operators.
منابع مشابه
Some concavity properties for general integral operators
Let $C_0(alpha)$ denote the class of concave univalent functions defined in the open unit disk $mathbb{D}$. Each function $f in C_{0}(alpha)$ maps the unit disk $mathbb{D}$ onto the complement of an unbounded convex set. In this paper, we study the mapping properties of this class under integral operators.
متن کاملSome Properties for Certain Integral Operators
Abstract. Recently Breaz and Breaz [4] and Breaz et.al[5] introduced two general integral operators Fn and Fα1,...,αn . Considering the classes N(γ), MT(μ, β) and KD(μ, β) we derived some properties for Fn and Fα1,...,αn . Two new subclasses KDFn(μ, β, α1, ..., αn) and KDFα1,...,αn(μ, β, α1, ..., αn) are defined. Necessary and sufficient conditions for a family of functions fj to be in the KDFn...
متن کاملSome properties of a general integral operator
In this paper, we consider a general integral operator $G_n(z).$ The main object of the present paper is to study some properties of this integral operator on the classes $mathcal{S}^{*}(alpha),$ $mathcal{K}(alpha),$ $mathcal{M}(beta),$ $mathcal{N}(beta)$ and $mathcal{KD}(mu,beta).$
متن کاملSome 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]).
متن کاملsome 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...
15 صفحه اولSome Properties of a General Integral Operator
In this paper, we consider a general integral operator Gn(z). The main object of the present paper is to study some properties of this integral operator on the classes S∗(α), K(α), M(β), N (β) and KD(μ, β).
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
bulletin of the iranian mathematical societyناشر: iranian mathematical society (ims)
ISSN 1017-060X
دوره 41
شماره 5 2015
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023