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In this paper we introduce an argument property which gives an interesting relation between the classes of strongly convex and strongly starlike functions of order α and type β in the open unit disk. Also, the sufficient condition of starlikeness under cer-tain restrictions is obtained. [ABSTRACT FROM AUTHOR]

Let A be the class of analytic functions in the open unit disc U with normalization ƒ(0) = ƒ'0 (0) - 1 = 0: The purpose of the present paper is to obtain several sufficient conditions of starlikeness and strongly starlikeness for some subclasses of A with fixed second coefficients that satisfy certain conditions for the quotient of the representations of convexity and starlikeness. [ABSTRACT FROM AUTHOR]

In this paper we derive the famous Fekete-Szegö inequality for the class of p-valent non-bazilevič function using differential operator. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new class of analytic functions as- sociated with Mittag-Leffler fuction in the open unit disk. Several properties of functions belonging to this class are derived. [ABSTRACT FROM AUTHOR]

Let A be the class of analytic functions in the open unit disc U with normalization f(0) = f'(0) - 1 = 0. The purpose of the present paper is to obtain several sufficient conditions of starlikeness and strongly starlikeness for some subclasses of A with fixed second coefficients that satisfy certain conditions for the quotient of the representations of convexity and starlikeness. [ABSTRACT FROM AUTHOR]

In this paper we derive the famous Fekete-Szegö inequality for the class of p--valent non-bazilevič function using differential operator. [ABSTRACT FROM AUTHOR]

In this paper, we present the notion of (g, φh,m) -convex and (g, log φ) -convex dominated function and present some properties of them. Besides, we attain some Hermite-Hadamard-type inequalities for (g, φh,m) -convex and (g, log φ) -convex dominated functions. Our results generalize some findings about Hermite-Hadamard-type inequalities in the literature. [ABSTRACT FROM AUTHOR]

In this paper we prove Hermite{Hadamard type inequalities for m-convex and (α,m)-convex functions for fuzzy integrals. Some examples are also given to illustrate the results. [ABSTRACT FROM AUTHOR]

This paper introduces new subclasses of analytic functions and investigate the inclusion properties of these subclasses using the generalized Bessel functions of the first kind. We also derive a variety of special cases and corollaries of the main results. [ABSTRACT FROM AUTHOR]

In this paper, we first investigate and present several sets of sufficient conditions for Carathéodory functions in the open unit disk U. We then apply the main results proven here in order to derive some conditions for starlike functions in U. Relevant connections with various known results are also considered. [ABSTRACT FROM AUTHOR]

In this paper,we have established some Hermite-Hadamard in-equalities for preinvex functions via fractional integrals and these results have some relationship with the obtained results. Application of the obtained results are given as well. [ABSTRACT FROM AUTHOR]

In [1] and [6] Marx and Strohhäcker have proved that if f ∊ A is a convex function, then it has the property of starlikeness of order 1/2 . In [5, Theorem 9.5.6], P. T. Mocanu extended this result to the class A2 for a convex function of order - 1/2 . In this paper we extend the results proven by Marx and Strohhäcker and by P. T. Mocanu and we'll prove that, if the function f ∊ An, n ≥ 3, is a close-to-convex function, then it is starlike of order 1/2 . [ABSTRACT FROM AUTHOR]

The purpose of the present paper is to investigate some characterization for generalized Bessel functions of first kind to be in the new subclasses G(λ, α) and K(λ, α) of analytic functions. [ABSTRACT FROM AUTHOR]

In this paper, we study some new inequalities of Hermite-Hadamard's type fractional integral inequalities for functions whose absolute values of second derivatives are convex and concave . The obtained results generalize the existing Hermite-Hadamard type integral inequalities and their application in special means and numerical integration. [ABSTRACT FROM AUTHOR]