Results 21 to 30 of about 273,287 (378)
The Role of Convexity in Saddle-Point Dynamics: Lyapunov Function and Robustness [PDF]
IEEE Transactions on Automatic Control, 2016 This paper studies the projected saddle-point dynamics associated to a convex–concave function, which we term saddle function. The dynamics consists of gradient descent of the saddle function in variables corresponding to convexity and (projected ...
A. Cherukuri +3 more
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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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Infinitesimal Convexity Implies Local Convexity [PDF]
Indiana University Mathematics Journal, 1974 (the tangent space at p) such that expU has no points of M onthe \inside" of L. By the inside of Lwe mean the component of a tubularneighbor hood with Ldeleted which corresponds to the negative multiplesof the orienting normal vector eld under exp. The exponential maps arethose of M.It is an immediate consequence of one of the standard interpretations ...
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Some trace inequalities for exponential and logarithmic functions [PDF]
Bulletin of Mathematical Sciences, 2019 Consider a function F(X,Y ) of pairs of positive matrices with values in the positive matrices such that whenever X and Y commute F(X,Y ) = XpYq. Our first main result gives conditions on F such that Tr[X log(F(Z,Y ))] ≤Tr[X(p log X + q log Y )] for all ...
Eric A. Carlen, Elliott H. Lieb
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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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A characterization of convex φ-functions [PDF]
Opuscula Mathematica, 2012 The properties of four elements \((LPFE)\) and \((UPFE)\), introduced by Isac and Persson, have been recently examined in Hilbert spaces, \(L^p\)-spaces and modular spaces. In this paper we prove a new theorem showing that a modular of form \(\rho_{\Phi}(
Bartosz Micherda
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Convexity in stochastic cooperative situations [PDF]
, 2005 This paper introduces a new model concerning cooperative situations in which the payoffs are modeled by random variables. We analyze these situations by means of cooperative games with random payoffs. Special attention is paid to three types of convexity,
Borm, Peter, Tijs, Stef, Timmer, Judith
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Schur m-power convexity of generalized geometric Bonferroni mean involving three parameters
Journal of Inequalities and Applications, 2019 In this paper, we study the Schur m-power convexity of the generalized geometric Bonferroni mean involving three parameters. Our result provides a unified generalization to the work that was done recently by Shi and Wu concerning the Schur convexity of ...
Shanhe Wu, Y. Chu
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Nonlinear Operators as Concerns Convex Programming and Applied to Signal Processing
Mathematics, 2019 Splitting methods have received a lot of attention lately because many nonlinear problems that arise in the areas used, such as signal processing and image restoration, are modeled in mathematics as a nonlinear equation, and this operator is decomposed ...
Anantachai Padcharoen +1 more
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On interval number in cycle convexity [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 Recently, Araujo et al. [Manuscript in preparation, 2017] introduced the notion of Cycle Convexity of graphs. In their seminal work, they studied the graph convexity parameter called hull number for this new graph convexity they proposed, and they ...
Julio Araujo +3 more
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