Results 31 to 40 of about 780,579 (248)

On Logarithmic Convexity for Differences of Power Means

Journal of Inequalities and Applications, 2008
We proved a new and precise inequality between the differences of power means. As a consequence, an improvement of Jensen's inequality and a converse of Holder's inequality are obtained.
Slavko Simic
doaj   +1 more source

Existence and Regularity of Spheres Minimising the Canham-Helfrich Energy

, 2020
We prove existence and regularity of minimisers for the Canham-Helfrich energy in the class of weak (possibly branched and bubbled) immersions of the $2$-sphere.
Mondino, Andrea, Scharrer, Christian
core   +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

On Jensen’s inequality, Hölder’s inequality, and Minkowski’s inequality for dynamically consistent nonlinear evaluations

, 2015
In this paper, the dynamically consistent nonlinear evaluations that were introduced by Peng are considered in probability space L2(Ω,F,(Ft)t≥0,P)$L^{2} (\Omega,{\mathcal{F}}, ({\mathcal {F}}_{t} )_{t\geq0},P )$.
Zhaojun Zong, F. Hu, C. Yin, Helin Wu
semanticscholar   +1 more source

Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space

Journal of Function Spaces and Applications, 2013
Based on the local fractional calculus, we establish some new generalizations of Hölder’s inequality. By using it, some related results on the generalized integral inequality in fractal space are investigated in detail.
Guang-Sheng Chen
doaj   +1 more source

Some Dynamic Inequalities of Hilbert’s Type

Journal of Function Spaces, 2020
This paper is concerned with deriving some new dynamic Hilbert-type inequalities on time scales. The basic idea in proving the results is using some algebraic inequalities, Hölder’s inequality and Jensen’s inequality, on time scales. As a special case of
A. M. Ahmed, Ghada AlNemer, M. Zakarya, H. M. Rezk   +3 more
doaj   +1 more source

Quantitative homogenization of degenerate random environments

, 2017
We study discrete linear divergence-form operators with random coefficients, also known as the random conductance model. We assume that the conductances are bounded, independent and stationary; the law of a conductance may depend on the orientation of ...
Giunti, Arianna, Mourrat, Jean-Christophe   +1 more
core   +3 more sources

On an inverse to the Hölder inequality

International Journal of Mathematics and Mathematical Sciences, 1997
An extension is given for the inverse to Hölder's inequality obtained recently by Zhuang.
J. Pecaric, C. E. M. Pearce
doaj   +1 more source

Refined and Generalized Versions of Hölder’s Inequality via Schur Convexity of Functions

Journal of Function Spaces
In this paper, we introduce a class of functions associated with Hölder’s inequality and show the Schur convexities of these functions. With the help of Schur convexity, several improved versions of Hölder’s inequality are established.
Shanhe Wu
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, Leping, He, Qiaoshun, Yang   +2 more
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