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A variational framework for residual-based adaptivity in neural PDE solvers and operator learning. [PDF]
Toscano JD +4 more
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Energy-Efficient Hierarchical Federated Learning in UAV Networks with Partial AI Model Upload Under Non-Convex Loss. [PDF]
Li H, Wang S, Du Y, Li R, Fan X, Luo C.
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On the Fractional Integral Inequalities for p-convex Functions
Punjab University Journal of Mathematics, 2023Inequality theory is one of the major application areas of convexity. Nowadays, the introduction of novel generalizations of convexity has yielded considerable contributions in inequality theory. In this article, some applications of p-convexity via fractional calculus to this field is studied.
Hanlar MAMEDOV (RESIDOGLU) +1 more
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Strongly embedded subspaces of p-convex Banach function spaces
Positivity, 2012J.M. Calabuig was supported by Ministerio de Economia y Competitividad (project MTM2011-23164) (Spain). J. Rodriguez was supported by Ministerio de Economia y Competitividad (project MTM2011-25377) (Spain). E. A. Sanchez-Perez was supported by Ministerio de Economia y Competitividad (project MTM2009-14483-C02-02) (Spain).
Calabuig, J. M. +2 more
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The dual $$p$$-convex functions and its applications
Calculus of Variations and Partial Differential EquationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rigao He, Wei Wang
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Some properties of pseudo P-convex functions
Rivista di Matematica per le Scienze Economiche e Sociali, 1995Summary: We study some properties of pseudo \(P\)-convex functions a class of generalized convex functions, recently introduced by \textit{S. T. Hackman} and \textit{U. Passy} [J. Math. Econ. 17, No. 1, 55-68 (1988; Zbl 0649.90008)] defined in product spaces of finite dimension.
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Logarithmic p-convex functions and some of their properties
Asian-European Journal of MathematicsIn this paper, the concept of logarithmic [Formula: see text]-convex function is introduced. Then, fundamental characterizations and some operational properties of logarithmic [Formula: see text]-convex functions are presented.
Gültekin Tınaztepe +3 more
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Some new type integral inequalities for p-convex functions
AIP Conference Proceedings, 2017In this paper, we give a new integral identity for differentiable functions and by using this identity we establish some new type integral inequalities for the class of functions whose derivatives in absolutely value at certain powers are p-convex.
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