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Transylvanian Journal Of Mathematics And Mechanics
ISSN: 2067-239X
ISSN(on-line): 2067-239X

Indexed in:
Mathematical Reviews
Zentralblatt MATH

Front cover
Front cover

Volume 9 (2017), Number 2

On a Certain Subclass of Analytic Functions Defined by Multiplier Transformation and Ruscheweyh Derivative

Author(s): ALINA ALB LUPAȘ

Abstract: In the present paper we define a new operator using the multiplier transformation and Ruscheweyh derivative. Denote by RIm,λ,lα the operator given by RI m,λ,lα : 𝒜n 𝒜n, RIm,λ,lαf (z) = (1 α) Rmf(z ) + αI m,λ,lf (z), for z U, where Rmf(z) denote the Ruscheweyh derivative, I m,λ,l f(z) is the multiplier transformation and 𝒜 n = {f (U) : f(z) = z + an+ 1zn+1 + ,z U} is the class of normalized analytic functions. A certain subclass, denoted by m δ,λ ,l,α, of analytic functions in the open unit disc is introduced by means of the new operator. By making use of the concept of differential subordination we will derive various properties and characteristics of the class m δ,λ ,l,α. Also, several differential subordinations are established regarding the operator RI m,λ,lα.

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Approximation of Fuzzy Numbers by Max-Product Operators

Author(s): GEORGE A. ANASTASSIOU

Abstract: Here we study quantitatively the approximation of fuzzy numbers by fuzzy approximators generated by the Max-product operators of Bernstein type and Meyer-Köning and Zeller type.

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Global Asymptotic Stability of Nonlinear Neutral Differential Equations With Infinite Delay

Author(s): ABDELOUAHEB ARDJOUNI and AHCENE DJOUDI

Abstract: This paper is mainly concerned the global asymptotic stability of the zero solution of a class of nonlinear neutral differential equations in C1. By converting the nonlinear neutral differential equation into an equivalent integral equation, our main results are obtained via the Banach contraction mapping principle. Finally, an example is given to illustrate our results.

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Results on Certain Subclasses of Analytic Functions Defined by a Derivative Operator

Author(s): ABDUSSALAM EGHBIQ and MASLINA DARUS

Abstract: In this paper, we introduce and study the classes S α,n,β( m,l,q,λ ) and TS α,n,β( m,l,q,λ ) defined by a generalised derivative operator Dα,n(m ,l,q,λ) . Coefficient inequalities are obtained for the classes S α,n,β( m,l,q,λ ) and TS α,n,β( m,l,q,λ ). Further, growth and distortion, extreme points, and inclusion are also given for the class TSα,n ,β(m,l ,q,λ).

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New Inequalities of the Type of Hadamard’s Through s (α,m) Co-Ordinated Convex Functions

Author(s): MUHAMMAD MUDDASSAR, MUHAMMAD IQBAL BHATTI and FARKHANDA YASIN

Abstract: This monograph is associated with the renowned Hermite-Hadamard’s integral inequality of 2-variables on the co-ordinates. In this article we established several inequalities of the type of Hadamard’s for the mappings whose absolute values of second order partial derivatives are s (α,m)-convex mappings.

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Coefficient Properties Involving the Generalized 𝒦 Mittag-Leffler Functions

Author(s): HAMEED UR REHMAN, MASLINA DARUS and JAMAL SALAH

Abstract: In this article we investigate the Fekete-Szegö problem for the integral operator associated with the most generalized 𝒦 Mittag-Leffler function. Our results will focus on some of the subclasses of starlike and convex functions.

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