On some differential sandwich theorems using an extended generalized Sălăgean operator and extended Ruscheweyh operator
Journal Title: Journal of Mathematics and Applications - Year 2015, Vol 38, Issue
Abstract
In this work we define a new operator using the extended generalized Sălăgean operator and extended Ruscheweyh operator. Denote by DR_λ^{m,n} the Hadamard product of the extended generalized Sălăgean operator D_λ^m and extended Ruscheweyh operator R^n, given by DR_λ^{m,n} : A*_ζ → A*_ζ [formula] and [formula] is the class of normalized analytic functions with A*_{1ζ} = A*_ζ. The purpose of this paper is to introduce sufficient conditions for strong differential subordination and strong differential superordination involving the operator DR_λ^{m,n} and also to obtain sandwich-type results.
Authors and Affiliations
Loriana Andrei
Measures of Noncompactness in a Banach Algebra and Their Applications
In this paper we study the existence of solutions of a nonlinear quadratic integral equation of fractional order. This equation is considered in the Banach space of real functions defined, continuous and bounded on the...
On a class of meromorphic functions defined by the convolution
In the present paper we define some classes of meromorphic functions with fixed argument of coefficients. Next we obtain coefficient estimates, distortion theorems, integral means inequalities, the radii of convexity and...
Number of Zeros of a Polynomial (Lacunary-type) in a Disk
The problem of finding out the region which contains all or a prescribed number of zeros of a polynomial P(z) := [formula] has a long history and dates back to the earliest days when the geometrical representation of com...
Majorization problems for classes of analytic functions
The main object of the present paper is to investigate problems of majorization for certain classes of analytic functions of complex order defined by an operator related to the modified Bessel functions of first kind. Th...
Weak Solutions of Fractional Order Differential Equations via Volterra-Stieltjes Integral Operator
The fractional derivative of the Riemann-Liouville and Caputo types played an important role in the development of the theory of fractional derivatives, integrals and for its applications in pure mathematics ([18], [21])...