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On some differential sandwich theorems using an extended generalized Sălăgean operator and extended Ruscheweyh operator

Andrei L.

Journal of Mathematics and Applications

2015

Vol. 38

33--48

In this work we define a new operator using the extended generalized Sălăgean operator and extended Ruscheweyh operator. Denote by DRm,nλ the Hadamard product of the extended generalized Sălăgean operator Dmλ and extended Ruscheweyh operator Rn, given by DRm,nλ : [...] is the class of normalized analytic functions with [...]. The purpose of this paper is to introduce sufficient conditions for strong differential subordination and strong differential superordination involving the operator DRm,nλ and also to obtain sandwich-type results.

Differential subordinations and superordinations for p-valent functions defined by fractional derivative operator

Amsheri S. M., Zharkova V.

Demonstratio Mathematica

2013

Vol. 46, nr 3

503--512

In the present paper, we derive some subordination and superordination results for p-valent functions in the open unit disk by using certain fractional derivative operator. Relevant connections of the results, which are presented in the paper, with various known results are also considered.

Subordinations and superordinations using the Dziok-Srivastava linear operator

Oros G. I., Oros O.

Journal of Mathematics and Applications

2009

Vol. 31

99-106

By using the properties of the Dziok-Srivastava linear operator we obtain differential subordinations and superordinations by using functions from class A. A sandwich-type result is also given. Theorem 1 from the paper gives sufficient conditions such that a function f ∈ A to be starlike, convex and α-convex.

Differential superordinations defined by an integral operator

Balaeti C. M.

Journal of Mathematics and Applications

2009

Vol. 31

29-36

By using the integral operator I(m) f, we introduce a class of holomorphic functions denoted by J(m)(α) and we obtain some superordinations results related to this class.