Results 61 to 70 of about 279,948 (328)
A more generalized Gronwall-like integral inequality with applications
International Journal of Mathematics and Mathematical Sciences, 2003 This paper deals with a new Gronwall-like integral inequality which is a generalization of integral inequalities proved by Engler (1989) and Pachpatte (1992).
Qinghua Ma, Lokenath Debnath
doaj +1 more source
Some New Integral Inequalities for Several Kinds of Convex Functions [PDF]
arXiv, 2012 In this study, we obtain some new integral inequalities for different classes of convex functions by using some elementary inequalities and classical inequalities like general Cauchy inequality and Minkowski inequality.
arxiv
One-dimensional integral Rellich type inequalities [PDF]
arXiv, 2023 The motive of this note is twofold. Inspired by the recent development of a new kind of Hardy inequality, here we discuss the corresponding Hardy-Rellich and Rellich inequality versions in the integral form. The obtained sharp Hardy-Rellich type inequality improves the previously known result.
arxiv
Advanced Photonics Research, EarlyView.Photonic resonances within a dielectric metasurface are investigated using photoelectron emission microscopy (PEEM) and finite‐difference time‐domain simulations. An electron inelastic mean free path of 35 ± 10 nm is extracted from comparisons between microscopy and simulations.
Andrew R. Kim +9 more
wiley +1 more source
Some new refined Hardy type integral inequalities [PDF]
arXiv, 2015 In this paper, by using Jensen's inequality and Chebyshev integral inequality, some generalizations and new refined Hardy type integral inequalities are obtained. In addition, the corresponding reverse relation are also proved.
arxiv
SyMO: A Hybrid Approach for Multi‐Objective Optimization of Crystal Growth Processes
Advanced Theory and Simulations, EarlyView.The hybrid SyMO (Symbolic regression Multi‐objective Optimization) framework combines Computational Fluid Dynamics (CFD), machine learning, and mathematical optimization techniques to investigate the effects of various process parameters, furnace geometries, and radiation shield material properties on key crystal quality metrics in Czochralski silicon (
Milena Petkovic, Natasha Dropka
wiley +1 more source
q-Hardy type inequalities for quantum integrals
Advances in Difference Equations, 2021 The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers.
Necmettin Alp, Mehmet Zeki Sarikaya
doaj +1 more source
New Refinements for integral and sum forms of Hölder inequality [PDF]
arXiv, 2019 In this paper, new refinements for integral and sum forms of H\"older inequality are established. We note that many existing inequalities related to the H\"older inequality can be improved via obtained new inequalities in here, we show this in an application.
arxiv
Refinement of an integral inequality [PDF]
Journal of Inequalities and Applications, 2012 In this study, we generalize and sharpen an integral inequality raised in theory for convex and star-shaped sets and relax the conditions on the integrand.
openaire +2 more sources
ON SOME INTEGRAL INEQUALITIES WITH ITERATED INTEGRALS [PDF]
Journal of the Korean Mathematical Society, 2006 The main aim of the present paper is to establish some new Gronwall type inequalities involving iterated integrals and give some applications of the main results.
Dragomir, Sever S +2 more
openaire +2 more sources