Results 11 to 20 of about 83,871 (280)
Continuous essential selections and integral functionals
Set-Valued and Variational Analysis, 2013 Given a strictly positive measure, we characterize inner semicontinuous solid convex-valued mappings for which continuous functions which are selections almost everywhere are selections.
Perkkiö, Ari-Pekka
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Transactions of the American Mathematical Society, 1972 In §2 a mapping of nonnegative functions is defined to be an integral if it has the following properties: I ( f ) ⩾ 0 , I ( f ) > ∞ I(f) \geqslant 0,I(f) > \infty for some f f , if f ⩽ g f ...
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Minimal H\"older regularity implying finiteness of integral Menger curvature [PDF]
, 2011 We study two families of integral functionals indexed by a real number $p > 0$. One family is defined for 1-dimensional curves in $\R^3$ and the other one is defined for $m$-dimensional manifolds in $\R^n$. These functionals are described as integrals of
G. David +14 more
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On the structure of Finsler and areal spaces [PDF]
, 2013 We study underlying geometric structures for integral variational functionals, depending on submanifolds of a given manifold. Applications include (first order) variational functionals of Finsler and areal geometries with integrand the Hilbert 1-form ...
Krupka, Demeter, Tanaka, Erico
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Unified treatment of fractional integral inequalities via linear functionals [PDF]
, 2016 In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc.
Bombardelli, Mea +2 more
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Integrals involvingE-functions [PDF]
Mathematische Zeitschrift, 1958 1. Introductory. The following two integrals will be established in § 2.If m is a positive integer, if p ≧ q + 1 and if R(ar+kt) > 0 (r = 1, 2,…, p, t = 1, 2,…, m),where co is 1 or e±in according as m is even or odd, the dash denotes that the factor sin (k,–k,)π does not appear and the asterisk that the parameter kt–kt + 1 is omitted.
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New Covariant Density Functionals of Nuclear Matter for Compact Star Simulations
The Astrophysical Journal, 2023 We generate three families of extended covariant density functionals of nuclear matter that have varying slope of symmetry energy and skewness at nuclear saturation density, but otherwise share the same basic parameters (symmetry energy, compressibility,
Jia-Jie Li, Armen Sedrakian
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Weighted Integral Inequalities for Harmonic Convex Functions in Connection with Fejér’s Result
Axioms, 2022 In this study, on the subject of harmonic convex functions, we introduce some new functionals linked with weighted integral inequalities for harmonic convex functions. In addition, certain new inequalities of the Fejér type are discovered.
Muhammad Amer Latif
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Minimization of nonsmooth integral functionals
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we examine optimization problems involving multidimensional nonsmooth integral functionals defined on Sobolev spaces. We obtain necessary and sufficient conditions for optimality in convex, finite dimensional problems using techniques from ...
Nikolaos S. Papageorgiou +1 more
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Common Mathematical Foundations of Expected Utility and Dual Utility Theories [PDF]
, 2012 We show that the main results of the expected utility and dual utility theories can be derived in a unified way from two fundamental mathematical ideas: the separation principle of convex analysis, and integral representations of continuous linear ...
Dentcheva, Darinka, Ruszczynski, Andrzej
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