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In this paper, we introduce some new subclasses of analytic functions in the open unit disk U with negative coefficients defined by generalized Alexander integral operator. The aim of the present paper is to determine coefficient inequalities, inclusion relations, neighborhoods, partial sums and integral means properties for functions f belonging to these subclasses. [ABSTRACT FROM AUTHOR]

The main aim of this paper is to introduce a new class of convex functions with respect to non-negative functions h and bifunction n(., .), which is called generalized (p, r, h, n-convex functions. We derive some new integral inequalities for this class of functions. Some special cases are also discussed. The ideas and techniques of this paper may stimulate further research. [ABSTRACT FROM AUTHOR]

In this paper, we obtain the coefficient bounds and closure properties for a class of analytic functions defined using q-differential operator which are closely related to the classes of α-spiralike and convex α-spiral functions. Also we investigate convolution properties and necessary and sufficient conditions for functions in the defined class. [ABSTRACT FROM AUTHOR]

The purpose of the present paper is to obtain inclusion relations between various subclasses of harmonic univalent mappings by applying a convolution operator involving generalized Wright functions. To be more precise, we investigate such connections with Goodman-Rønning-type harmonic univalent functions, k-uniformly harmonic convex functions and k-uniformly harmonic starlike functions in the open unit disc U. Some of our results generalize and correct the results of Maharana and Sahoo [11]. [ABSTRACT FROM AUTHOR]

In the present paper, we extend some results on r-convex and r-invex functions regarding some majorization type discrete inequalities. Some applications are also discussed. [ABSTRACT FROM AUTHOR]

In this paper, we find the conditions such that Ω (a; c;m)f ε S (ϵ,α,k) Ω (a; c;m)f ϵ UCV(ϵ,α,k) Ω (a; c;m)f ϵ UCD(k) if fϵ Rτ (A,B). Also consequences of the results are pointed out. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new subclass of analytic functions. For this functions class we obtain Fekete-Szegö inequality and coefficient bounds for bi-univalent functions. [ABSTRACT FROM AUTHOR]

In this paper, we extend our results of some inequality relations in which we include multivalent functions in order to give sufficient conditions (unfortunately not sharp) when the following implication holds: ǀarg [1 + zf(p+1)(z)/ f(p)(z) ]ǀ.<απ/2(Z∊픻) ⇒ ǀarg zf'(z)/f(z) ǀ < βμ/2 (z ∊ 픻).Here f(z) is a multivalent function, i.e., analytic on the unit disk and of the form f(z) = zp + ap+1zp+1 + …, p = 2, 3 . . . . [ABSTRACT FROM AUTHOR]

In this paper, a sharp upper bound for the functional Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. for functions f ∈ A in the class of function S*(Φ1, Φ2, φ) which we call it as the class of F 2-like functions of type F 1. Also certain applications of the main result for a class of functions defined by convolution are given. As a special case of the result, the Fekete-Szegö inequality for a class of functions defined through fractional derivatives is obtained. The objective of this paper is to give a generalization of the earlier Fekete-Szegö inequalities. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new class Σp*(k, α) of meromorphic functions with positive coefficients in D = {z : 0 < ¦z¦ < 1}. The aim of the present paper is to prove some properties for the class Σp*(k, α). [ABSTRACT FROM AUTHOR]

In this paper we investigate the problem of stability for certain subclasses of analytic functions of complex order denoted by S*(A,B, b) and C(A,B, b) and we give the upper and lower bounds of their radius of stability. We also study a stability of geometric properties of a function f under Alexander integral transformation when f is in S*(A,B, b) or C(A,B, b). [ABSTRACT FROM AUTHOR]

In this paper, the class ∑λ (α, β &#947,;) of univalent meromorphic functions de- fined by Ruscheweyh derivative in the punctured unit disk U* is introduced. We study some results concerning the partial sums of meromorphic univalent starlike functions and meromorphic univalent convex functions. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the notion of strongly φ-convex functions with respect to c > 0 and present some properties and representation of such functions. We obtain a characterization of inner product spaces involving the notion of strongly φ-convex functions. Finally, a version of Hermite Hadamard-type inequalities for strongly φ-convex functions are established. [ABSTRACT FROM AUTHOR]

In the present paper, we obtain some closed properties for integral operator ... functions belonging to class of convex functions and also for a class of α-convex functions of order β. Several corollaries and consequences of the main results are also considered. [ABSTRACT FROM AUTHOR]

In this paper, the authors investigate a subclass C*(n; p; λ α) of p-valent convex functions with negative coefficients. By fixing the second coefficient of functions in C*(n; p; λ α), it introduces another class Cc(n; p; λ α) and obtain the extreme points. Aslo, the radius problems of the functions which are defined by C*(n; p; λ α) with a certain nonhomogeneous Cauchy-Euler differential equation are solved. Moreover, it shows a generalization result of the Hadamard products of the class C*(n; p; λ α). [ABSTRACT FROM AUTHOR]

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]

The object of the present paper is to investigate the distortion bounds for fractional calculus of functions in the class UT(Φ, Ψ, α, β) consisting of uniformly convex functions with negative coefficients .We further investigate the distortion hounds for functions in these classes under certain fractional integral operators and study their integral means properties. [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]

In this paper we use Lidstone polynomials to prove further generalization of Giaccardi generalization of the well-known Petrović's inequality. [ABSTRACT FROM AUTHOR]

In this paper, we present a multitude of global semiparametric sufficient efficiency and duality results under generalized - (F, ρ, θ)-convexity assumptions for a multiobjective fractional subset programming problem. [ABSTRACT FROM AUTHOR]