Results 61 to 70 of about 639,816 (328)
International Journal of Mathematics and Mathematical Sciences, 1999 In this paper, we give two weak conditions for a lower semi-continuous function on the n-dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions.
Yu-Ru Syau
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Differential Stability of Convex Discrete Optimal Control Problems
, 2017 Differential stability of convex discrete optimal control problems in Banach spaces is studied in this paper. By using some recent results of An and Yen [Appl. Anal.
An, Duong Thi Viet, Toan, Nguyen Thi
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Advanced Functional Materials, EarlyView.There is a significant need for biomaterials with well‐defined stability and bioactivity to support tissue regeneration. In this study, we developed a tunable microgel platform that enables the decoupling of stiffness from porosity, thereby promoting bone regeneration.
Silvia Pravato +9 more
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Nonconvex Lipschitz function in plane which is locally convex outside a discontinuum [PDF]
, 2013 We construct a Lipschitz function on $\er^{2}$ which is locally convex on the complement of some totally disconnected compact set but not convex. Existence of such function disproves a theorem that appeared in a paper by L.
Pokorny, Dusan
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Fixed points in the family of convex representations of a maximal monotone operator
, 2008 Any maximal monotone operator can be characterized by a convex function. The family of such convex functions is invariant under a transformation connected with the Fenchel-Legendre conjugation.
Svaiter, B. F.
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Advanced Functional Materials, EarlyView.This review summarizes recent advances in closed‐cell in situ TEM strategies for accurate determination of the activity and stability of single‐atom catalyst systems during operation. Operando conditions causing dynamic changes of SAC systems are highlighted and we explain why ensemble average‐based optical techniques may benefit from the technological
Martin Ek +4 more
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Some majorization integral inequalities for functions defined on rectangles
Journal of Inequalities and Applications, 2018 In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles.
Shanhe Wu +3 more
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On Caputo fractional derivative inequalities by using strongly (α,h−m)-convexity
AIMS Mathematics, 2022 In the literature of mathematical inequalities, one can have different variants of the well-known Hadamard inequality for CFD (Caputo fractional derivatives).
Tao Yan +3 more
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Mirror Descent and Convex Optimization Problems With Non-Smooth Inequality Constraints
, 2018 We consider the problem of minimization of a convex function on a simple set with convex non-smooth inequality constraint and describe first-order methods to solve such problems in different situations: smooth or non-smooth objective function; convex or ...
A Beck +16 more
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Advanced Functional Materials, EarlyView.A hybrid anode composed of Cl‐functionalized curved nanographene and graphite enables ultra‐fast charging and long cycle life through an engineered morphology and sequential Li+ insertion. It delivers 100 mAh g−1 at 5 C with 70% capacity retention after 1000 cycles and maintains stable performance over 2000 cycles in pouch cells, providing a practical ...
Hyunji Cha +8 more
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