Results 1 to 10 of about 7,544 (125)
An Information-Theoretic Proof of a Hypercontractive Inequality [PDF]
EntropyThe famous hypercontractive estimate discovered independently by Gross, Bonami and Beckner has had a great impact on combinatorics and theoretical computer science since it was first used in this setting in a seminal paper by Kahn, Kalai and Linial.
Ehud Friedgut
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A new look at classical inequalities involving Banach lattice norms [PDF]
Journal of Inequalities and Applications, 2017 Some classical inequalities are known also in a more general form of Banach lattice norms and/or in continuous forms (i.e., for ‘continuous’ many functions are involved instead of finite many as in the classical situation).
Ludmila Nikolova +2 more
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Triple Diamond-Alpha integral and Hölder-type inequalities [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we first introduce the definition of triple Diamond-Alpha integral for functions of three variables. Therefore, we present the Hölder and reverse Hölder inequalities for the triple Diamond-Alpha integral on time scales, and then we obtain ...
Jing-Feng Tian
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On innovations of n-dimensional integral-type inequality on time scales
Advances in Difference Equations, 2021 Integral-type inequalities and dynamic equations have an important place in time scales. In this paper, we present some innovations of n-dimensional Minkowski’s integral-type inequality on time scales via ◊ α $\lozenge _{\alpha } $ -integral.
Lütfi Akın
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Axioms, 2022 In this article, we establish several new generalized Hardy-type inequalities involving several functions on time-scale nabla calculus. Furthermore, we derive some new multidimensional Hardy-type inequalities on time scales nabla calculus.
A. I. Saied +4 more
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A Note about Young’s Inequality with Different Measures
International Journal of Mathematics and Mathematical Sciences, 2022 The key purpose of this paper is to work on the boundedness of generalized Bessel–Riesz operators defined with doubling measures in Lebesgue spaces with different measures.
Saba Mehmood +2 more
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Refinements of the Converse Hölder and Minkowski Inequalities
Mathematics, 2022 We give a refinement of the converse Hölder inequality for functionals using an interpolation result for Jensen’s inequality. Additionally, we obtain similar improvements of the converse of the Beckenbach inequality.
Josip Pečarić +2 more
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On the reconstruction of convex sets from random normal measurements [PDF]
, 2014 We study the problem of reconstructing a convex body using only a finite number of measurements of outer normal vectors. More precisely, we suppose that the normal vectors are measured at independent random locations uniformly distributed along the ...
Abdallah, Hiba, Mérigot, Quentin
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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 +29 more
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A generalization of Minkowski’s inequality by Hahn integral operator
Journal of Taibah University for Science, 2018 In this paper, we use the Hahn integral operator for the description of new generalization of Minkowski’s inequality. The use of this integral operator definitely generalizes the classical Minkowski’s inequality.
Hasib Khan +4 more
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