Results 61 to 70 of about 2,167,123 (372)
Some New Integral Inequalities for Several Kinds of Convex Functions [PDF]
, 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 ...
Ahmet +3 more
core
Advanced Functional Materials, EarlyView.3D porous carbons with tunable density are crucial for energy storage, separations, and load‐bearing applications; however, their fabrication is often constrained by shrinkage during pyrolysis. This study optimizes and demonstrates the versatility of a template–coating pair strategy, producing materials that largely retain their shape and hierarchical ...
Adarsh Suresh +7 more
wiley +1 more source
Integral Inequalities Involving Strongly Convex Functions
Journal of Function Spaces, 2018 We study the notions of strongly convex function as well as F-strongly convex function. We present here some new integral inequalities of Jensen’s type for these classes of functions.
Ying-Qing Song +3 more
doaj +1 more source
A sharp double inequality involving generalized complete elliptic integral of the first kind
, 2020 In the article, we establish a sharp double inequality involving the ratio of generalized complete elliptic integrals of the first kind, which is the improvement and generalization of some previously known results.
Tie-hong Zhao, Miao-Kun Wang, Y. Chu
semanticscholar +1 more source
New refinements for integral and sum forms of Hölder inequality [PDF]
Journal of Inequalities and Applications, 2019 In this paper, we establish new refinements for integral and sum forms of Hölder inequality. Many existing inequalities related to the Hölder inequality can be improved via newly obtained inequalities, which we illustrate by an application.
I. Işcan
semanticscholar +1 more source
On a Local Mean Oscillation Decomposition [PDF]
, 2012 In this note we generate two local median oscillation decompositions of an arbitrary measurable function and discuss some applications to Calder\'{o}n-Zygmund singular integral operators $T$. These applications rely on the inequality $M^{\sharp}_{0,s}(Tf)
Poelhuis, Jonathan, Torchinsky, Alberto
core
Review of Thin Lithium Metal Battery Anode Fabrication – Microstructure – Electrochemistry Relations
Advanced Materials, EarlyView.Thin, lightweight lithium‐metal anodes are pivotal for practical high‐energy batteries. This review surveys processing routes that convert diverse Li precursors, e.g., ingots, melts, solutions, and vapor, into Li‐rich foils with controlled thickness, areal density, and tailored functionality.
Yuhang Hu +6 more
wiley +1 more source
On New Extensions of Hilbert's Integral Inequality
International Journal of Mathematics and Mathematical Sciences, 2008 It is shown that some new extensions of Hilbert's integral inequality with parameter λ(λ>1/2) can be established by introducing a proper weight function. In particular, when λ=1, a refinement of Hilbert's integral inequality is obtained. As applications,
He Leping, Gao Mingzhe, Zhou Yu
doaj +1 more source
A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications [PDF]
, 2004 In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established.
Dragomir, Sever S +2 more
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Probabilistic Approach to Fractional Integrals and the Hardy-Littlewood-Sobolev Inequality
, 2013 We give a short summary of Varopoulos' generalised Hardy-Littlewood-Sobolev inequality for self-adjoint $C_{0}$ semigroups and give a new probabilistic representation of the classical fractional integral operators on $\R^n$ as projections of martingale ...
Applebaum, David, Banuelos, Rodrigo
core +1 more source