Results 21 to 30 of about 105,191 (283)
On Reverses of Some Inequalities in n-Inner Product Spaces
We present some new reverses of Cauchy-Bunyakovsky-Schwarz inequality, and Triangle and Boas-Bellman Type inequalities in n-inner product spaces. The results obtained generalize the results of Dragomir (2003–2005) in n-inner product spaces.
Renu Chugh, Sushma Lather
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Leggett-Garg inequalities and the geometry of the cut polytope [PDF]
The Bell and Leggett-Garg tests offer operational ways to demonstrate that non-classical behavior manifests itself in quantum systems, and experimentalists have implemented these protocols to show that classical worldviews such as local realism and ...
Avis, David +2 more
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Some Triangle Inequalities and Generalizations [PDF]
AbstractLet , where ai, s, and x are real, and II denotes the product over cyclic rearrangements of the subscripts. We show that, in five special cases, Dn, s(x)Dn, s(y) is greater than a fixed multiple of Dn, s(x + y).
Carroll, C. E., Yang, C. C., Ahn, S.
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Inequalities That Imply the Norm of a Linear Space Is Induced by an Inner Product
The aim of this paper is to investigate when a linear normed space is an inner product space. Several conditions in a linear normed space are formulated with the help of inequalities. Some of them are from the literature and others are new. We prove that
Sorin Rădulescu +2 more
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Asymptotically coupled coincidence points and asymptotically coupled fixed points in fuzzy semi-metric spaces are studied in this paper. The fuzzy semi-metric space is taken into account, which lacks symmetric conditions.
Hsien-Chung Wu
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Another Aspect of Triangle Inequality [PDF]
We introduce the notion of ψ-norm by considering the fact that an absolute normalized norm on C2 corresponds to a continuous convex function ψ on the unit interval [0,1] with some conditions. This is a generalization of the notion of q-norm introduced by Belbachir et al. (2006). Then we show that a ψ-norm is a norm in the usual sense.
Kichi-Suke Saito +3 more
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Matrix Norms, BPS Bounds and Marginal Stability in N=8 Supergravity [PDF]
We study the conditions of marginal stability for two-center extremal black holes in N-extended supergravity in four dimensions, with particular emphasis on the N=8 case.
A Castro +59 more
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In 2016 Prof. Fozi M. Dannan from Damascus, Syria, proposed an interesting inequality for three positive numbers with unit product. It became widely known but was not proved yet in spite of elementary formulation.
F. M. Dannan, S. M. Sitnik
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О некоторых замечательных точках и отрезках в треугольнике
Пусть ra, rb, rc — радиусы, а OA, OB, OC — центры окружностей, касающихся в вершинах треугольника описанной окружности и противоположной стороны этого треугольника. В работе [Andrica D., Marinescu D.S.
Юрий Николаевич Мальцев +1 more
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Lp –Error Bounds of Two and Three–Point Quadrature Rules For Riemann–Stieltjes Integrals
In this work, Lp-error estimates of general two and three point quadrature rules for Riemann-Stieltjes integrals are given. The presented proofs depend on new triangle type inequalities of Riemann-Stieltjes integrals.
Alomari Mohammad W., Guessab Allal
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