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A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications
Advances in Mathematical Physics, 2021 In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR-warped product submanifolds into a generalized Sasakian space form.
Yanlin Li, Akram Ali, Rifaqat Ali
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All geographical distances are optimal
Cybergeo, 2020 Triangular inequality is one of the four mathematical properties of distance. Its respect derives from the optimal nature of the measurement of distance.
Alain L’Hostis
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Optimal isoperimetric inequalities [PDF]
Bulletin of the American Mathematical Society, 1985 We make precise and prove the following four heuristic statements: 1. Optimal isoperimetric inequality. Corresponding to each m-1 dimensional closed surface T in \(R^ n\) there is an m dimensional surface Q having T as boundary such that \(| Q| \leq \gamma (m)| T|^{m/(m-1)}\) with equality if and only if T is a standard round m-1 sphere (of some radius)
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Optimal quantum violation of Clauser-Horne-Shimony-Holt like steering inequality
, 2015 We study a recently proposed Einstein-Podolsky-Rosen steering inequality [arXiv- 1412.8178 (2014)]. Analogous to Clauser-Horne-Shimony-Holt (CHSH) inequality for Bell nonlocality, in the simplest scenario, i.e., 2 parties, 2 measurements per party and 2 ...
Banik, Manik +3 more
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Inequality Systems and Global Optimization
Journal of Mathematical Analysis and Applications, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeyakumar, V. +3 more
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Maximal violation of Clauser-Horne-Shimony-Holt inequality for four-level systems
, 2004 Clauser-Horne-Shimony-Holt inequality for bipartite systems of 4-dimension is studied in detail by employing the unbiased eight-port beam splitters measurements.
A. Zeilinger +4 more
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An optimal Hardy–Morrey inequality [PDF]
Calculus of Variations and Partial Differential Equations, 2011 In this work we improve the sharp Hardy inequality in the case $p>n$ by adding an optimal weighted Hoelder semi-norm. To achieve this we first obtain a local improvement. We also obtain a refinement of both the Sobolev inequality for $p>n$ and the Hardy inequality, the latter having the best constant.
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Extensions of the Heisenberg-Weyl inequality
International Journal of Mathematics and Mathematical Sciences, 1986 In this paper a number of generalizations of the classical Heisenberg-Weyl uncertainty inequality are given. We prove the n-dimensional Hirschman entropy inequality (Theorem 2.1) from the optimal form of the Hausdorff-Young theorem and deduce a higher ...
H. P. Heinig, M. Smith
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Nonlinear Analysis, 2019 In this paper, we mainly consider a control system governed by a Hilfer fractional evolution hemivariational inequality with a nonlocal initial condition.
Yatian Pei, Yong-Kui Chang
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On some inequality of Hermite-Hadamard type [PDF]
, 2011 It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true.
Wasowicz, Szymon, Witkowski, Alfred
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