Results 21 to 30 of about 84,906 (335)
Inclusion and Intersection Relations Between Fundamental Classes of Discrete Convex Functions [PDF]
arXiv, 2021 In discrete convex analysis, various convexity concepts are considered for discrete functions such as separable convexity, L-convexity, M-convexity, integral convexity, and multimodularity. These concepts of discrete convex functions are not mutually independent.
arxiv
On φ-convexity of convex functions
Linear Algebra and its Applications, 1998 AbstractWe construct a non-trivial set φ of extended-real valued functions on Rn, containing all affine functions, such that an extended-real valued function f on Rn is convex if and only if it is φ-convex in the sense of Dolecki and Kurcyusz, i.e., the (pointwise) supremum of some subset of φ. Also, we prove a new sandwich theorem.
Ivan Singer +1 more
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Soft Computing, 2016 For an algebra [Formula: see text] belonging to a quasivariety [Formula: see text], the quotient [Formula: see text] need not belong to [Formula: see text] for every [Formula: see text]. The natural question arises for which [Formula: see text]. We consider algebras [Formula: see text] of type (2, 0) where a partial order relation is determined by the ...
Ivan Chajda, Helmut Länger
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Shapley-Folkman-type Theorem for Integrally Convex Sets [PDF]
arXiv, 2023 The Shapley-Folkman theorem is a statement about the Minkowski sum of (non-convex) sets, expressing the closeness of the Minkowski sum to convexity in a quantitative manner. This paper establishes similar theorems for integrally convex sets, L-natural-convex sets, and M-natural-convex sets, which are major classes of discrete convex sets in discrete ...
arxiv
Mathematical Programming, 2022 AbstractWe present a generalization of the notion of neighborliness to non-polyhedral convex cones. Although a definition of neighborliness is available in the non-polyhedral case in the literature, it is fairly restrictive as it requires all the low-dimensional faces to be polyhedral.
James Saunderson, Venkat Chandrasekaran
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Monotonicity, convexity, and inequalities for the generalized elliptic integrals
Journal of Inequalities and Applications, 2017 We provide the monotonicity and convexity properties and sharp bounds for the generalized elliptic integrals K a ( r ) $\mathscr{K}_{a}(r)$ and E a ( r ) $\mathscr {E}_{a}(r)$ depending on a parameter a ∈ ( 0 , 1 ) $a\in(0,1)$ , which contains an earlier
Tiren Huang, Shenyang Tan, Xiaohui Zhang
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The G-Convexity and the G-Centroids of Composite Graphs
Mathematics, 2020 The graph centroids defined through a topological property of a graph called g-convexity found its application in various fields. They have classified under the “facility location” problem.
Prakash Veeraraghavan
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Approximations by multivariate sublinear and Max-product operators under convexity
Demonstratio Mathematica, 2018 Here we search quantitatively under convexity the approximation of multivariate function by general multivariate positive sublinear operators with applications to multivariate Max-product operators.
Anastassiou George A.
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Facial soft tissue convexity changes [PDF]
Al-Rafidain Dental Journal, 2007 Aims: To find the soft tissue changes of the total facial convexity, facial convexity and nasolabial convexity among four age groups. Materials and Methods: The studying sample subjects included 48, 41, 50 and 44 individuals of age 11, 12, 13 and 14 ...
Hussain A Obaidi, Manar Y Abdul–Qadir
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On the solvability of a class of nonlinear Hammerstein integral equations on the semiaxis [PDF]
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, 2022 The paper studies a class of nonlinear integral equations on the semiaxis with a non-compact Hammerstein operator. It is assumed that the kernel of the equation decreases exponentially on the positive part of the number axis. Equations of this kind arise
Khachatryan, Khachatur Agavardovich +1 more
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