Results 21 to 30 of about 2,717 (263)
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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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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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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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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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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Sharp mean triangle inequality [PDF]
By using a mean operator we shall present some sharp mean triangle inequalities in a Banach space which generalize the sharp triangle inequality with n elements and its reverse one shown recently by the last three authors in [7]. In the course of doing this we shall present a new two element triangle inequality with parameter and its reverse.
Masatoshi Fujii +3 more
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Using Dual Double Fuzzy Semi-Metric to Study the Convergence
Convergence using dual double fuzzy semi-metric is studied in this paper. Two types of dual double fuzzy semi-metric are proposed in this paper, which are called the infimum type of dual double fuzzy semi-metric and the supremum type of dual double fuzzy
Hsien-Chung Wu
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Non-Shannon inequalities in the entropy vector approach to causal structures [PDF]
A causal structure is a relationship between observed variables that in general restricts the possible correlations between them. This relationship can be mediated by unobserved systems, modelled by random variables in the classical case or joint quantum
Mirjam Weilenmann, Roger Colbeck
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Determination of forces in the elements of the brake rigging of bogies of freight cars [PDF]
The article presents the results of studies the purpose of which was solving the problem of deceleration of abnormal wear of brake pads in freight cars of Ukrzaliznytsia JSC.
Elyazov İsrail +3 more
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