Results 21 to 30 of about 644,844 (268)
Some properties of fuzzy cone symmetric spaces [PDF]
Journal of Hyperstructures, 2023 In this work, we give a fuzzy analogy of cone symmetric spaces that we call fuzzy cone symmetric spaces. Since these structurere obtained by omitting the triangle inequality in fuzzy cone metric spaces, there are topological degenerations.
Tarkan Oner
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Reverse triangle inequalities for potentials
Journal of Approximation Theory, 2009 We study the reverse triangle inequalities for suprema of logarithmic potentials on compact sets of the plane. This research is motivated by the inequalities for products of supremum norms of polynomials. We find sharp additive constants in the inequalities for potentials, and give applications of our results to the generalized polynomials.
Igor E. Pritsker, Edward B. Saff
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Reverses of the Triangle Inequality via Selberg's and Boas-Bellman's Inequalities [PDF]
, 2006 Reverses of the triangle inequality for vectors in inner product spaces via the Selberg and Boas-Bellman generalisations of Bessel’s inequality are given.
Dragomir, Sever S
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Efficient Neighborhood Covering Model Based on Triangle Inequality Checkand Local Strategy [PDF]
Jisuanji kexue, 2022 Neighborhood covering model is widely used in classification tasks for its simple mechanism and ability to handle complex data.However,the neighborhood covering model has the problem of low efficiency and lack of related research work.To solve this ...
CHEN Yu-si, AI Zhi-hua, ZHANG Qing-hua
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A Triangle Inequality for Cosine Similarity [PDF]
, 2021 Similarity search is a fundamental problem for many data analysis techniques. Many efficient search techniques rely on the triangle inequality of metrics, which allows pruning parts of the search space based on transitive bounds on distances. Recently, Cosine similarity has become a popular alternative choice to the standard Euclidean metric, in ...
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Some Triangle Inequalities and Generalizations [PDF]
Canadian Mathematical Bulletin, 1980 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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Controlled Metric Type Spaces and the Related Contraction Principle
Mathematics, 2018 In this article, we introduce a new extension of b-metric spaces, called controlled metric type spaces, by employing a control function α ( x , y ) of the right-hand side of the b-triangle inequality.
Nabil Mlaiki +3 more
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Another Aspect of Triangle Inequality [PDF]
ISRN Mathematical Analysis, 2011 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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Genuine monogamy relations in no-signaling theories—a geometric approach
New Journal of Physics, 2021 Quantum correlations are subject to certain distribution rules represented by so-called monogamy relations. Derivation of monogamy relations for multipartite systems is a non-trivial problem, as the multipartite correlations reveal their behaviors in a ...
Junghee Ryu +4 more
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A Generalization of the Klamkin Inequality [PDF]
, 2009 A generalization of a geometric inequality of Klamkin is established by considering the triples of barycentric coordinates of the points from a set which is included in the plane of the fundamental triangle.
Comănescu, Dan, Dragomir, Sever S
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