Results 41 to 50 of about 10,963,226 (321)
Handling convexity-like constraints in variational problems
, 2014 We provide a general framework to construct finite dimensional approximations of the space of convex functions, which also applies to the space of c-convex functions and to the space of support functions of convex bodies.
Mérigot, Quentin, Oudet, Edouard
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Majorization theorems for strongly convex functions
Journal of Inequalities and Applications, 2019 In the article, we present several majorization theorems for strongly convex functions and give their applications in inequality theory. The given results are the improvement and generalization of the earlier results.
Syed Zaheer Ullah, M. Adil Khan, Y. Chu
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Proceedings of the American Mathematical Society, 1974 The purpose of this paper is to prove convexity properties for the tensor product, determinant, and permanent of hermitian matrices.
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Advanced Engineering Materials, EarlyView.Molecular dynamics simulations are advancing the study of ribonucleic acid (RNA) and RNA‐conjugated molecules. These developments include improvements in force fields, long‐timescale dynamics, and coarse‐grained models, addressing limitations and refining methods.
Kanchan Yadav, Iksoo Jang, Jong Bum Lee
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Discrete majorization type inequalities for convex functions on rectangles
Journal of Inequalities and Applications, 2019 In this paper, we present several discrete majorization type inequalities for the convex functions defined on rectangles.
M. Adil Khan +3 more
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Advanced Engineering Materials, EarlyView.A multimaterial approach is introduced to improve upon auxetic structures by combining two different polymers into the same reentrant honeycomb structure via additive manufacturing. The deformation behavior as well as the resulting Poisson's ratio are thereby improved significantly.
Alexander Engel +2 more
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Continuous essential selections and integral functionals
, 2013 Given a strictly positive measure, we characterize inner semicontinuous solid convex-valued mappings for which continuous functions which are selections almost everywhere are selections.
Perkkiö, Ari-Pekka
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From error bounds to the complexity of first-order descent methods for convex functions [PDF]
Mathematical programming, 2015 This paper shows that error bounds can be used as effective tools for deriving complexity results for first-order descent methods in convex minimization.
J. Bolte +3 more
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Advanced Engineering Materials, EarlyView.Picosecond direct laser interference patterning (DLIP) enables precise microstructure fabrication on stainless steel. Using a multiscan approach, high‐aspect‐ratio patterns are achieved. Fluence influences structure growth and homogeneity, with smaller periods yielding better uniformity.
Fabian Ränke +5 more
wiley +1 more source
Matrix Hermite-Hadamard type inequalities [PDF]
, 2013 We present several matrix and operator inequalities of Hermite-Hadamard type. We first establish a majorization version for monotone convex functions on matrices. We then utilize the Mond-Pecaric method to get an operator version for convex functions. We
Moslehian, Mohammad Sal
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