Results 41 to 50 of about 616,982 (218)

Refinements of Generalized Hölder’s Inequalities

Journal of Applied Mathematics, 2014
We present some new versions of generalized Hölder’s inequalities. The results are used to improve Minkowski’s inequality and a Beckenbach-type inequality.
Jingfeng Tian, Wen-Li Wang, Donal O’Regan   +2 more
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

The log-Brunn–Minkowski inequality

Advances in Mathematics, 2012
It is conjectured that for origin-symmetric convex bodies, there exist a family of inequalities each of which is stronger than the classical Minkowski mixed-volume inequality and a family of inequalities each of which is stronger than the classical Brunn-Minkowski inequality.
Böröczky, Károly (Ifj.), Lutwak, E., Yang, D., Zhang, G.   +3 more
openaire   +3 more sources

Variable Ranges in Linear Constraints [PDF]

, 2010
We introduce an extension of linear constraints, called linearrange constraints, which allows for (meta-)reasoning about the approximation width of variables. Semantics for linearrange constraints is provided in terms of parameterized linear systems.
Fred Mesnard, Salvatore Ruggieri
core   +2 more sources

Generalizations of Minkowski and Beckenbach–Dresher Inequalities and Functionals on Time Scales

International Journal of Analysis and Applications, 2020
We generalize integral forms of the Minkowski inequality and Beckenbach–Dresher inequality on time scales. Also, we investigate a converse of Minkowski’s inequality and several functionals arising from the Minkowski inequality and the Beckenbach–Dresher ...
Rabia Bibi, Anees Ur Rahman, Muhammad Shahzad   +2 more
doaj  

Diamond-α Jensen's Inequality on Time Scales

Journal of Inequalities and Applications, 2008
The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond-α derivatives which are a linear combination of delta and nabla ...
Delfim F. M. Torres, Rui A. C. Ferreira, Moulay Rchid Sidi Ammi   +2 more
doaj   +1 more source

Non-uniqueness of weak solutions for the fractal Burgers equation [PDF]

, 2009
The notion of Kruzhkov entropy solution was extended by the first author in 2007 to conservation laws with a fractional laplacian diffusion term; this notion led to well-posedness for the Cauchy problem in the $L^\infty$-framework.
Alibaud, Alibaud, Alibaud, Biler, Biler, Biler, Biler, Bony, Boris Andreianov, Chan, Clavin, Danskyn, Dong, Droniou, Droniou, Droniou, Hoh, Jourdain, Jourdain, Karch, Kiselev, Kruzhkov, Miao, Miao, Nathaël Alibaud, Oleĭnik, Woyczyński   +26 more
core   +5 more sources

The Orlicz Brunn–Minkowski inequality

Advances in Mathematics, 2014
The Orlicz-Brunn-Minkowski theory was introduced by Lutwak, Yang and Zhang, being an extension of the classical Brunn-Minkowski theory. It represents a generalization of the \(L_p\)-Brunn-Minkowski theory. For a convex, strictly increasing \(\phi:[0,\infty]\longrightarrow [0,\infty)\), with \(\phi(0)=0\) and \(K,L\) convex and compact sets containing ...
Xi, Dongmeng, Jin, Hailin, Leng, Gangsong   +2 more
openaire   +2 more sources

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Ricci-flat Metrics with U(1) Action and the Dirichlet Boundary-value Problem in Riemannian Quantum Gravity and Isoperimetric Inequalities [PDF]

, 2003
The Dirichlet boundary-value problem and isoperimetric inequalities for positive definite regular solutions of the vacuum Einstein equations are studied in arbitrary dimensions for the class of metrics with boundaries admitting a U(1) action.
Akbar M M, Akbar M M, Awad A, Bailey W N, Barnard S, Belardinelli G, Birkeland R, Braden H W, Brown J D, Bérard-Bergery L, Calabi E, Charap J M, Cotsakis S, Eagle A, Eguchi T, Freedman D Z, G W Gibbons, Gibbons G W, Gibbons G W, Gross D J, Hilbert D, M M Akbar, Myers R C, Page D N, Regge T, Reilly R C, Slater L J, Taylor-Robinson M M, York J W, York J W   +29 more
core   +2 more sources