Results 51 to 60 of about 32,897 (198)
ABSTRACT Consider wave equations with time derivative nonlinearity and time‐dependent propagation speed which are generalized versions of the wave equations in the Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime, the de Sitter spacetime and the anti‐de Sitter space time.
Kimitoshi Tsutaya, Yuta Wakasugi
wiley +1 more source
Lyapunov-type inequalities for generalized one-dimensional Minkowski-curvature problems
In this paper, we consider some types of scalar equations and systems of generalized one-dimensional Minkowski-curvature problems. Using an inequality technique, we establish several new Lyapunov-type inequalities for the problems considered. Our results
Haidong Liu
doaj +1 more source
Lp-Curvature Measures and Lp,q-Mixed Volumes
Motivated by Lutwak et al.’s Lp-dual curvature measures, we introduce the concept of Lp-curvature measures. This new Lp-curvature measure is an extension of the classical surface area measure, Lp-surface area measure, and curvature measure. In this paper,
Tongyi Ma
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On the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space
Using the weak solution of Inverse mean curvature flow, we prove the sharp Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space.Comment: minor revision, accepted by Calculus of Variations and ...
Wei, Yong
core +1 more source
The degree of cooperativism in Europe: Towards an evaluation model for cooperative banking
Abstract Democracy, social commitment and proximity are fundamental values of cooperative‐based financial institutions. The degree of cooperativism of an entity (or, by extension, of a territorial area or country) can be associated with the intensity with which the entity promotes the inherent values of cooperatives.
Francisco Salas‐Molina +2 more
wiley +1 more source
On discrete $$L_p$$ Brunn–Minkowski type inequalities
Abstract$$L_p$$ L p Brunn–Minkowski type inequalities for the lattice point enumerator $$\mathrm {G}_n(\cdot )$$ G n
María A. Hernández Cifre +2 more
openaire +2 more sources
Validation of machine learning based scenario generators
Abstract Machine learning (ML) methods are becoming increasingly important for designing economic scenario generators for internal models. Validating data‐driven models requires different methods than validating classical, theory‐based models. We discuss two novel aspects of such validation: first, checking the multivariate distribution of risk factors,
Gero Junike, Solveig Flaig, Ralf Werner
wiley +1 more source
Some New Integral Inequalities for Several Kinds of Convex Functions [PDF]
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
Random Diophantine equations in the primes
Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
wiley +1 more source
THE INEQUALITIES OF HELDER AND MINKOVSKY AND THEIR GENERALIZATIONS
Formulation of the Problem. A large amount of mathematical literature is devoted to classical inequalities. Helder's inequalities, a special case of which is the Cauchy-Buniakovsky inequality, as well as Minkowski's, which is a polygon inequality in a ...
Yuriy Bokhonov
doaj +1 more source

