Convexity properties of some integral operators
نویسندگان
چکیده
منابع مشابه
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...
15 صفحه اولSome 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 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 کاملOn 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.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1970
ISSN: 0022-0396
DOI: 10.1016/0022-0396(70)90105-1