Results 71 to 80 of about 11,287,559 (375)
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
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Valuations on Convex Functions [PDF]
International Mathematics Research Notices, 2017 All continuous, SL$(n)$ and translation invariant valuations on the space of convex functions on ${\mathbb R}^n$ are completely classified.
Andrea Colesanti +2 more
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Fabrication‐Directed Entanglement for Designing Chiral and Anisotropic Metamaterial Foams
Advanced Engineering Materials, EarlyView.This work introduces fabrication‐directed entanglement (FDE), combining viscous thread printing and topology optimization to program entangled foams with spatially patterned stiffness. By tuning coil density, FDE enables anisotropy, programmable Poisson's ratio, and chirality in foams.
Daniel Revier +3 more
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, 2018 In this paper, we propose a successive convex approximation framework for sparse optimization where the nonsmooth regularization function in the objective function is nonconvex and it can be written as the difference of two convex functions. The proposed
Chatzinotas, Symeon +3 more
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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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Journal of Inequalities and Applications, 2019 In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex ...
Naila Mehreen, Matloob Anwar
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An Inequality for Convex Functions
Journal of Mathematical Analysis and Applications, 1994 The authors prove the following interesting inequality for convex functions: Suppose that positive numbers \(s_{i,j}\) \((i= 0,1,2; j= 1,\dots,n)\) satisfy \(s_{1,j}\leq s_{0,j}\leq s_{2,j}\) \((j= 1,\dots,n)\) and \(a_ j s^{-1}_{i,1}+ b_ j s^{-1}_{i,j}= 1\) \((i= 0,1,2; j= 2,\dots,n)\) for positive constants \(a_ j\), \(b_ j\) \((j= 2,\dots,n)\). If \(
Pearce, C.E.M., Pecaric, J.E.
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Advanced Engineering Materials, EarlyView.This study investigates laser shock peening for enhancing fatigue performance of riveted aerospace aluminum joints. A comparative approach with cold expansion combines fatigue testing and synchrotron X‐ray methods. Integrating mechanical testing with residual stress and strain characterization provides insights into how different treatments affect the ...
Ogün Baris Tapar +6 more
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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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Length problems for Bazilevič functions
Demonstratio Mathematica, 2019 Let C(r) denote the curve which is image of the circle |z| = r < 1 under the mapping f . Let L(r) be the length of C(r) and A(r) the area enclosed by the curve C(r).
Nunokawa Mamoru +2 more
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