Two Inequalities and Two Means
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 1
Abstract
The paper presents geometric derivations of Jensen's and Hermite-Hadamard's inequality.Jensen's inequality is further involved to a concept of quasi-arithmetic means. Hermite-Hadamard's inequality is applied to compare the basic quasi-arithmetic means,
Authors and Affiliations
Zlatko Pavic
Keywords
Related Articles
- EP ID EP651266
- DOI 10.24297/jam.v9i1.2498
- Views 167
- Downloads 0
Chaotic behavior of a coupled system of the Riccati map
In this paper, We present the equivalent discrete system of coupled Riccati map. We study some the dynamic behavior such as (xed points and their asymptotic stability, the lyapunov exponents, chaos and bifurcation) of...
Matrices of inversions for permutations: Recognition and Applications
This work provides a criterion for a binary strictly upper triangle matrices to be a matrix of inversions for a permutation. It admits an invariant matrices for permutations to being well recognizable. Then it provides a...
Modeling and Analysis of Perishable Inventory System with Retrial demands in Supply Chain
In this article, we consider a continuous review perishable inventory system with poisson demands. The maximum storage capacity at lower echelon (retailer) is S and the upper Echelon (Distribution Center) is M (= nQ). Th...
Two Characterizations of Gamma Distribution in terms of sth Conditional Moments
The gamma distribution is highly important in applications and data modeling. It is usually used to model waiting times, the size of insurance claims, and rainfalls. It also serves as a conjugate prior distribution for v...
Exponential attractors and inertial manifolds for a class of generalized nonlinear Kirchhoff-Sine-Gordon equation*
In this paper,we consider a class of generalized nonlinear Kirchhoff-Sine-Gordon equation in n dimensional space.We first prove the squeezing property of the nonlinear semigroup associated with this equation and the exis...