On Differential Subordinations Related to Convex Functions
نویسندگان
چکیده
منابع مشابه
An inequality related to $eta$-convex functions (II)
Using the notion of eta-convex functions as generalization of convex functions, we estimate the difference between the middle and right terms in Hermite-Hadamard-Fejer inequality for differentiable mappings. Also as an application we give an error estimate for midpoint formula.
متن کاملSome classes of analytic functions involving differential subordinations
The main object of this paper is to apply the method of differential subordinations in order to obtain certain properties of some subclasses of analytic functions in the unit disc involving differential subordinations. 2009 Elsevier Inc. All rights reserved.
متن کاملSecond Order Differential Subordinations of Holomorphic Mappings on Bounded Convex Balanced Domains in C
In this paper, we obtain some second order differential subordinations of holomorphic mappings on a bounded convex balanced domain Ω in C. These results imply some first order differential subordinations of holomorphic mappings on a bounded convex balanced domain Ω in C. When Ω is the unit disc in the complex plane C, these results are just ones of Miller and Mocanu et al. about differential su...
متن کاملBernstein's polynomials for convex functions and related results
In this paper we establish several polynomials similar to Bernstein's polynomials and several refinements of Hermite-Hadamard inequality for convex functions.
متن کاملOn second-order differential subordinations for a class of analytic functions defined by convolution
Making use of the convolution operator we introduce a new class of analytic functions in the open unit disk and investigate some subordination results. c ©2017 All rights reserved.
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 Mathematical Analysis and Applications
سال: 1999
ISSN: 0022-247X
DOI: 10.1006/jmaa.1999.6381