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Marginality and convexity in partition function form games
In this paper an order on the set of embedded coalitions is studied in detail. This allows us to define new notions of superaddivity and convexity of...
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Observation estimate for the heat equations with Neumann boundary conditions via logarithmic convexity
We prove an inequality of Hölder type traducing the unique continuation property at one time for the heat equation with a potential and Neumann...
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Discretization of prime counting functions, convexity and the Riemann hypothesis
We study tails of prime counting functions. Our approach leads to representations with a main term and an error term for the asymptotic size of each...
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Pachpatte type inequalities and their nabla unifications via convexity
Nabla unifications of the discrete and continuous Pachpatte type inequalities, which are convex generalizations of Hardy-Copson type inequalities,...
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Fractal generation via generalized Fibonacci–Mann iteration with s-convexity
Recently, the generalized Fibonacci–Mann iteration scheme has been defined and used to develop an escape criterion to study mutants of the classical...
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Non-Monotonicity of Closed Convexity in Neural Codes
Neural codes are lists of subsets of neurons that fire together. Of particular interest are neurons called place cells, which fire when an animal is...
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Online Optimization Problems with Functional Constraints Under Relative Lipschitz Continuity and Relative Strong Convexity Conditions
In this work, we consider the problem of strongly convex online optimization with convex inequality constraints. A scheme with switching over...
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Remarkable Consequences of Convexity
This chapter is devoted to remarkable topics of convex analysis that, together with subdifferential calculus, Fenchel conjugates and related results...
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Partially Observed Risk-Sensitive Stochastic Control Problems with Non-Convexity Restriction
The paper considers partially observed optimal control problems for risk-sensitive stochastic systems, where the control domain is non-convex and the...
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On a convexity property of the space of almost fuchsian immersions
We study the space of Hopf differentials of almost fuchsian minimal immersions of compact Riemann surfaces. We show that the extrinsic curvature of...
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Combinatorial Convexity in Hadamard Manifolds: Existence for Equilibrium Problems
In this paper is introduced a proposal of resolvent for equilibrium problems in terms of the Busemann’s function. A advantage of this new proposal is...
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Convexity and the Isoperimetric Inequality
The Arithmetic-Geometric inequality (or AG inequality) is one of the simplest and most useful inequalities, as well as the source of many other...