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A subclass of quasi-convex functions with respect to symmetric points
convex with respect to symmetric points quasi-convex with respect to symmetric points coefficient estimates
2010/9/10
A subclass of quasi-convex functions with respect to symmetric points.
A global optimization method for minimizing a product of two positive convex functions
Global optimization multiplicative programming convex multiplicative programming
2010/9/13
This paper presents a new algorithm for minimizing a product of two positive convex functions. The given problem is firstly converted to an equivalent quasi-concave minimization problem in the outcom...
A New Subclass of $k$-Uniformly Convex Functions with Negative Coefficients
Analytic functions Univalent functions Coefficient inequalities and coefficient estimates Starlike functions Convex functions Close-to-convex functions $k$-Uniformly convex functions $k$-Uniformly starlike functions Uniformly starlike functions Hadamard product (or convolution) Extreme points Radii of close-to-convexity starlikeness and convexity Integral operators
2008/7/3
A New Subclass of $k$-Uniformly Convex Functions with Negative Coefficients.
A New Subclass of Uniformly Convex Functions and a Corresponding Subclass of Starlike Functions with Fixed Second Coefficient
Univalent Convex Starlike Uniformly convex Uniformly starlike Linear operator
2008/7/3
Making use of Linear operator theory, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients. The main object of this pape...
A New Type of Stable Generalized Convex Functions
Generalized convexity $s$-quasiconvex function Stability
2008/7/3
S-quasiconvex functions (Phu and An, Optimization, Vol. 38, 1996) are stable with respect to the properties: "every lower level set is convex", "each local minimizer is a global minimizer", and "each ...
A Characterization of $\lambda$-convex Functions
$lambda$-convexity Generalized 2nd-order derivative
2008/7/3
The main result of this paper shows that -convex functions can be characterized in terms of a lower second-order generalized derivative.
A Subclass of Uniformly Convex Functions Associated with Certain Fractional Calculus Operators
Univalent Convex Starlike Uniformly convex Fractional calculus integral operator
2008/7/3
In this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using a certain fractional calculus and fractional calculus integral operato...
An Inequality Improving the First Hermite-Hadamard Inequality for Convex Functions Defined on Linear Spaces and Applications for Semi-Inner Products
Hermite-Hadamard integral inequality Convex functions Semi-Inner Products
2008/7/2
An integral inequality for convex functions defined on linear spaces is obtained which contains in a particular case a refinement for the first part of the celebrated Hermite-Hadamard inequality. Appl...
An Inequality Improving the Second Hermite-Hadamard Inequality for Convex Functions Defined on Linear Spaces and Applications for Semi-Inner Products
Hermite-Hadamard integral inequality Convex functions Semi-Inner Products
2008/7/2
An inequality for convex functions defined on linear spaces is obtained which contains in a particular case a refinement for the second part of the celebrated Hermite-Hadamard inequality. Applications...
Fejér Inequalities for Wright-convex Functions
Hermite-Hadamard inequality Fejér inequality Wright-convex functions
2008/7/2
In this paper, we establish several inequalities of Fejér type for Wright-convex functions.
Certain Inequalities for Convex Functions
Convex functions Numerical Inequalities Inequalities with constraints
2008/7/1
Classical inequalities like Jensen and its reverse are used to obtain some elementary numerical inequalities for convex functions. Furthermore, imposing restrictions on the data points several new con...
Convex Functions and Inequalities for Integrals
Convex functions Measure spaces Lebesgue integrals Banach spaces
2008/7/1
Convex Functions and Inequalities for Integrals.
The class of convex hydrodynamically normalized functions in a half-plane was introduced by J. Stankiewicz. In this paper we introduce the general class of convex functions in the upper half-plane D (...
In the present paper we obtain new sufficient conditions for the univalence and convexity of an analytic function defined in the upper half-plane. In particular, in the case of hydrodynamically normal...
Hermitian Operators and Convex Functions
Hermitian operators eigenvalues operator inequalities Jensen's inequality
2008/7/1
Hermitian Operators and Convex Functions.