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Regularity properties and integral inequalities related to (k; h1; h2)-convexity of functions
The class of (k; h1; h2)-convex functions is introduced, together with some particular classes of corresponding generalized convex dominated functions.
Cristescu Gabriela +2 more
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Generalised Local Fractional Hermite-Hadamard Type Inequalities on Fractal Sets
Fractal geometry and analysis constitute a growing field, with numerous applications, based on the principles of fractional calculus. Fractals sets are highly effective in improving convex inequalities and their generalisations.
Peter Olamide Olanipekun
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Some quantum estimates of Hermite-Hadamard inequalities for convex functions
Wenjun Liu, Hefeng Zhuang
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p-Convex Functions and Some of Their Properties
, 2021In this paper, the concept of p-convex function based on the definition of p-convex sets is given. Then fundamental characterizations and some operational properties of p-convex functions are presented.
Sevda Sezer +3 more
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Subgradient Methods for Sharp Weakly Convex Functions
Journal of Optimization Theory and Applications, 2018Subgradient methods converge linearly on a convex function that grows sharply away from its solution set. In this work, we show that the same is true for sharp functions that are only weakly convex, provided that the subgradient methods are initialized ...
Damek Davis +3 more
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Efficiency of minimizing compositions of convex functions and smooth maps
Mathematical programming, 2016We consider global efficiency of algorithms for minimizing a sum of a convex function and a composition of a Lipschitz convex function with a smooth map.
D. Drusvyatskiy, C. Paquette
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A general system for heuristic minimization of convex functions over non-convex sets
Optim. Methods Softw., 2017We describe general heuristics to approximately solve a wide variety of problems with convex objective and decision variables from a non-convex set. The heuristics, which employ convex relaxations, convex restrictions, local neighbour search methods, and
Steven Diamond +2 more
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Some New Quantum Hermite–Hadamard-Like Inequalities for Coordinated Convex Functions
Journal of Optimization Theory and Applications, 2020H. Budak, M. Ali, Meliha Tarhanaci
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On q-Hermite–Hadamard inequalities for general convex functions
, 2020S. Bermudo +2 more
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