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Applications of the Extended Hermite-Hadamard Inequality
Convexity Hermite-Hadamard inequality Identities
2008/7/2
In this paper we give some combinatorial applications according to a new extension of the classical Hermite-Hadamard inequality proved in [1].
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...
Convolution Inequalities and Applications
Convolution Heat source Weighted convolution inequalities Young's inequality Hö lder's inequality Reverse Hö lder's inequality Green's function
2008/7/2
Convolution Inequalities and Applications.
Monotonicity of Ratios Involving Incomplete Gamma Functions with Actuarial Applications
Gamma function Monotonicity Weighted distributions Tail expectations
2010/1/22
Ratios involving incomplete gamma functions and their monotonicity properties play important roles in financial risk analysis. We derive desired monotonicity properties either using Pinelis' Calculus ...
Improvements of Euler-Trapezoidal Type Inequalities with Higher-Order Convexity and Applications
Hadamard inequality Euler formula Convex functions Integral inequalities Numerical integration
2008/7/1
We improve a bounds relating to Euler's formula for the case of a function with higher-order convexity properties. These are used to improve estimates of the error involved in the use of the trapezoid...
Fundamental Inequalities on Firmly Stratified Sets and Some Applications
Poincaré's inequality Korn's inequality Multistructures
2008/7/1
We establish different fundamental inequalities on a class of multistructures, more precisely Poincaré's inequality for second and fourth order (scalar) operators as well as Korn's inequality for the ...
Further Reverse Results for Jensen's Discrete Inequality and Applications in Information Theory
Convex functions Jensen's Inequality Entropy Mappings
2008/7/1
Some new inequalities which counterpart Jensen's discrete inequality and improve the recent results from [20] and [22] are given. A related result for generalized means is established. Applications in...
Inequalities Involving a Logarithmically Convex Function and Their Applications to Special Functions
Logarithmically convex functions inequalities gamma function Riemann's zeta function complete elliptic integrals of the first kind
2008/7/1
Inequalities Involving a Logarithmically Convex Function and Their Applications to Special Functions.
Inequalities of Bonferroni-Galambos Type with Applications to the Tutte Polynomial and the Chromatic Polynomial
Bonferroni inequalities Inclusion-exclusion Tutte polynomial Chromatic polynomial Graph Matroid
2008/7/1
Inequalities of Bonferroni-Galambos Type with Applications to the Tutte Polynomial and the Chromatic Polynomial.
Geometric Convexity of a Function Involving Gamma Function and Applications to Inequality Theory
Gamma function Geometrically Convex function Wallis' inequality Application Inequality
2008/7/1
In this paper, the geometric convexity of a function involving gamma function is studied, as applications to inequality theory, some important inequalities which improve some known inequalities, inclu...
Inequalities for Inscribed Simplex and Applications
Simplex Inscribed simplex Inradius Circumradius Inequality
2008/7/1
In this paper, we study the problem of geometric inequalities for the inscribed simplex of an n-dimensional simplex. An inequality for the inscribed simplex of a simplex is established. Applying it we...
Inequalities for the Transformation Operators and Applications
Inequalities Transformation operators Inverse scattering
2008/7/1
Inequalities for the Transformation Operators and Applications.
L'Hospital Type Rules for Monotonicity, with Applications
L'Hospital's Rule Monotonicity Information Inequalities
2008/7/1
L'Hospital Type Rules for Monotonicity, with Applications.
L'Hospital Type Rules for Monotonicity: Applications to Probability Inequalities for Sums of Bounded Random Variables
L'Hospital's Rule Monotonicity Probability inequalities Sums of independent random variables Student's statistic
2008/7/1
This paper continues a series of results begun by a l'Hospital type rule for monotonicity, which is used here to obtain refinements of the Eaton-Pinelis inequalities for sums of bounded independent ra...