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In this paper, we introduce a class κ -- UCV(λ, γ, β, δ ) of analytic univalent functions with negative coefficients. This class is based on an integral operator Qβδ of the function f(z). We obtain some neighbourhoods results. Partial sums hm(z) of the functions f(z) in this class are considered. Also we study coefficient bounds, extreme points and radius of close-to-convexity, starlikeness and convexity of this class. [ABSTRACT FROM AUTHOR]

In this paper, we establish a set of necessary efficiency criteria and discuss several sets of global semiparametric sufficient efficiency conditions under various generalized (α, η, ρ)-V-invexity assumptions for a semiinfinite multiobjective fractional programing problem. [ABSTRACT FROM AUTHOR]

Let Ap(p ∈ N) be the class of functions ƒ(z) = zp + ap+1zp+1 + ... analytic in the unit disk. By usiug the Ruscheweyh derivative, we introduce a subclass Tp(c, α, λ, μ) of Ap which is relevant to the classes of starlike and convex functions. The object of the present paper is to discuss some properties of functions in the class Tp(c, α, λ, μ). [ABSTRACT FROM AUTHOR]

In this paper, using the upper semi-continuity of set-valued mapping with respect to non weakly compactly generated index and the sub-differential theory, the authors establish some results about separability, and the generic Fréchet differentiability of continuous convex functions. A characterization and some sufficient conditions for a Banach space to be an Asplund space is also established. [ABSTRACT FROM AUTHOR]

The purpose of the present paper is to introduce the classes Mα(β) and Qα(β), respectively, of normalized strongly α-logarithmic convex and quasiconvex functions of order β in the open unit disk and to obtain sharp Fekete-Szegö inequalities for functions belonging to the classes be the class Mα(β) and Qα(β). [ABSTRACT FROM AUTHOR]