Results 51 to 60 of about 497,049 (200)
Hermite-Hadamard-type Inequalities for Increasing Convex-along-rays Functions [PDF]
Some inequalities of Hermite-Hadamard type for increasing convexalong-rays functions are given. Examples for particular domains including triangles, squares, and the part of the unit disk in the first quadrant are also ...
Dragomir, Sever S +2 more
core +3 more sources
Hadamard’s inequality in the mean
Let $Q$ be a Lipschitz domain in $\mathbb{R}^n$ and let $f \in L^{\infty}(Q)$. We investigate conditions under which the functional $$I_n(φ)=\int_Q |\nabla φ|^n+ f(x)\,\mathrm{det} \nabla φ\, \mathrm{d}x $$ obeys $I_n \geq 0$ for all $φ\in W_0^{1,n}(Q,\mathbb{R}^n)$, an inequality that we refer to as Hadamard-in-the-mean, or (HIM).
Bevan, Jonathan +2 more
openaire +4 more sources
Stolarsky Means and Hadamard's Inequality
A generalization is given of the extension of Hadamrd's inequality to r-convex functions. A corresponding generalization of the Fink-Mond-Pečarić inequalities for r-convex functions in established.
Pearce, Charles E. M. +2 more
openaire +3 more sources
Abstract Homogeneous normalized random measures with independent increments represent a broad class of Bayesian nonparametric priors and thus are widely used. In this article, we obtain the strong law of large numbers, the central limit theorem (CLT), and the functional central limit theorem (fCLT) of such measures when the concentration parameter a ...
Junxi Zhang, Shui Feng, Yaozhong Hu
wiley +1 more source
On Some New Inequalities of Hermite-Hadamard-Féjer Type Involving Convex Functions [PDF]
In this paper, we establish some inequalities of Hermite-Hadamard- Fejér type for m-convex functions and s-convex ...
Hwang, Shiow-Ru +2 more
core +3 more sources
ABSTRACT Integrating sustainability not only into corporate strategy and product design is essential to address pressing global challenges. This study proposes a framework that integrates social life cycle assessment (S‐LCA) into time‐driven activity‐based costing (TD‐ABC) to manage both social and economic issues by assessing social impacts across ...
Widiene Essouid +4 more
wiley +1 more source
Data‐driven emulation of flow‐dependent background‐error variance in variational data assimilation
A machine‐learning approach is developed to emulate flow‐dependent background‐error variance within a variational data assimilation framework. The method reproduces uncertainty information that would normally require a 50‐member ensemble using only five members, while maintaining comparable observation fit and forecast performance.
Wei Pan +3 more
wiley +1 more source
SOME REFINEMENTS OF HADAMARD'S INEQUALITIES
Some new refinement of Hadamard's inequalities are given.
Yang, Gou-Sheng, Wang, Chung-Shin
openaire +3 more sources
High‐Order Sliding‐Mode control for MIMO Systems
ABSTRACT This paper extends Lyapunov‐based homogeneous high‐order sliding‐mode control to a class of uncertain non‐square multi‐input multi‐output (MIMO) nonlinear systems with a well‐defined vector relative degree. The considered systems admit a normal‐form representation with an uncertain but full‐row‐rank input‐gain matrix.
Jaime A. Moreno, Angel Mercado‐Uribe
wiley +1 more source
Abstract Hidden Markov diagnostic classification models capture how students' cognitive attributes evolve over time. This paper introduces a Bayesian Markov chain Monte Carlo algorithm for diagnostic classification models that jointly estimates time‐varying Q matrices, latent attributes, item parameters, attribute class proportions and transition ...
Chen‐Wei Liu
wiley +1 more source

