A Class of Nonlinear Integral Operators Preserving Double Subordinations
نویسندگان
چکیده
منابع مشابه
A Class of Nonlinear Integral Operators Preserving Double Subordinations
Let f and F be members of H. The function f is said to be subordinate to F, or F is said to be superordinate to f , if there exists a functionw analytic in U, withw 0 0 and |w z | < 1, and such that f z F w z . In such a case, we write f ≺ F or f z ≺ F z . If the function F is univalent in U, then we have f ≺ F if and only if f 0 F 0 and f U ⊂ F U cf. 1 . Definition 1.1 see 1 . Let φ : C2 → C a...
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The purpose of the present paper is to obtain subordinationand superordinationpreserving properties for a class of integral operators defined on the space of normalized analytic functions in the open unit disk. We also consider the sandwich-type theorems for these integral operators. 2000 Mathematics Subject Classification. Primary 30C80; Secondary 30C25, 30C45.
متن کاملResearch Article Double Subordination-Preserving Properties for Certain Integral Operators
Let f and F be members of . The function f is said to be subordinate to F, or F is said to be superordinate to f , if there exists a function w analytic in U, with w(0)= 0 and |w(z)| < 1, and such that f (z)= F(w(z)). In such a case, we write f ≺ F or f (z)≺ F(z). If the function F is univalent in U, then f ≺ F if and only if f (0)= F(0) and f (U)⊂ F(U) (cf. [1, 2]). Let φ : C2 → C and let h be...
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Let f and F be members of . The function f is said to be subordinate to F, or F is said to be superordinate to f , if there exists a function w analytic in U, with w(0)= 0 and |w(z)| < 1, and such that f (z)= F(w(z)). In such a case, we write f ≺ F or f (z)≺ F(z). If the function F is univalent in U, then f ≺ F if and only if f (0)= F(0) and f (U)⊂ F(U) (cf. [1, 2]). Let φ : C2 → C and let h be...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2008
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2008/792160