The Hermite Hadamard Inequality on Hypercuboid

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2019, Vol 16, Issue 0

Abstract

Given any a := (a1; a2,... ; an) and b := (b1; b2;... ; bn) in Rn. The n-fold convex function dened on [a; b], a; b 2 Rn with a < b is a convex function in each variable separately. In this work we prove an inequality of Hermite-Hadamard type for n-fold convex functions. Namely, we establish the inequality

Authors and Affiliations

Mohammad W Alomari

Keywords

Related Articles

Edge Jump Distance Graphs

The concept of edge jump between graphs and distance between graphs was introduced by Gary Chartrand et al. in [5]. A graph H is obtained from a graph G by an edge jump if G contains four distinct vertices u, v, w, and x...

On a Subclass of Meromorphic Multivalent Functions

In this paper, we introduce a new class of meromorphic multivalent functions in the  puncturedunit discU*{z∈c:0 <|z|<1} . We obtain various resultsincluding coefficients inequality, convex set, radius of sta...

Bounds on the finite-sample risk for exponential distribution.

In this paper, we derive lower and upper bounds on the expected nearest neighbor distance for exponential distribution, and find lower and upper bounds on the risk of the nearest neighbor of exponential distribution.

Coincidence and common fixed points of Greguš type weakly biased mappings

In this note,  common fixed point theorem of compatible mappings of type(A) due to Murthy et al.[ P. P. Murthy, Y. J. Cho and B. Fisher, Common fixed points of Gregu type mappings, Glasnik Maematicki, Vol.30(50), (1...

Semiorthogonal B-spline Wavelet for Solving 2D- Nonlinear Fredholm-Hammerstein Integral Equations

This work is concerned with the study of the second order (linear) semiorthogonal B-spline wavelet method to solve one-dimensional nonlinear Fredholm-Hammerstein integral equations of the second kind. Proof of the existe...

Download PDF file
  • EP ID EP651846
  • DOI 10.24297/jam.v16i0.8053
  • Views 175
  • Downloads 0

How To Cite

Mohammad W Alomari (2019). The Hermite Hadamard Inequality on Hypercuboid. JOURNAL OF ADVANCES IN MATHEMATICS, 16(0), 8234-8246. https://europub.co.uk./articles/-A-651846