Results 61 to 70 of about 11,297,589 (365)
International Journal of Adaptive Control and Signal Processing, EarlyView.The cost as a function of the number of experiments for a non‐symmetric 21×21$$ 21\times 21 $$ system. Four approaches are shown: the proposed stochastic conjugate gradient ILC (SCGILC) method (), deterministic conjugate gradient ILC (), stochastic gradient descent ILC () and deterministic gradient descent ILC ().
Leontine Aarnoudse, Tom Oomen
wiley +1 more source
New inequalities of Hermite-Hadamard type for HA-convex functions
Journal of Numerical Analysis and Approximation Theory, 2018 Some new inequalities of Hermite-Hadamard type for HA-convex functions defined on positive intervals are given.
Sever Dragomir
doaj +2 more sources
A new treatment of convex functions [PDF]
arXiv, 2020 Convex functions have played a major role in the field of Mathematical inequalities. In this paper, we introduce a new concept related to convexity, which proves better estimates when the function is somehow more convex than another. In particular, we define what we called $g-$convexity as a generalization of $\log-$convexity.
arxiv
Convex Functions and Spacetime Geometry
, 2001 Convexity and convex functions play an important role in theoretical physics. To initiate a study of the possible uses of convex functions in General Relativity, we discuss the consequences of a spacetime $(M,g_{\mu \nu})$ or an initial data set $(\Sigma,
+12 more
core +2 more sources
Current and Future Cornea Chip Models for Advancing Ophthalmic Research and Therapeutics
Advanced Biology, EarlyView.This review analyzes cornea chip technology as an innovative solution to corneal blindness and tissue scarcity. The examination encompasses recent developments in biomaterial design and fabrication methods replicating corneal architecture, highlighting applications in drug screening and disease modeling while addressing key challenges in mimicking ...
Minju Kim +3 more
wiley +1 more source
Directed Discrete Midpoint Convexity [PDF]
arXiv, 2020 For continuous functions, midpoint convexity characterizes convex functions. By considering discrete versions of midpoint convexity, several types of discrete convexities of functions, including integral convexity, L$^\natural$-convexity and global/local discrete midpoint convexity, have been studied.
arxiv
The Schur-convexity of the mean of a convex function
Applied Mathematics Letters, 2009 AbstractThe Schur-convexity at the upper and lower limits of the integral for the mean of a convex function is researched. As applications, a form with a parameter of Stolarsky’s mean is obtained and a relevant double inequality that is an extension of a known inequality is established.
Chun Gu, Huan-Nan Shi, Da-Mao Li
openaire +2 more sources
Fractional Exponentially m-Convex Functions and Inequalities
International Journal of Analysis and Applications, 2019 In this article, we introduce a new class of convex functions involving m ∈ [0, 1], which is called exponentially m-convex function. Some new Hermite-Hadamard inequalities for exponentially m-convex functions via Reimann-Liouville fractional integral are
S. Rashid, M. Noor, K. Noor
semanticscholar +1 more source
Valuations on convex functions and convex sets and Monge–Ampère operators [PDF]
Advances in Geometry, 2017 The notion of a valuation on convex bodies is very classical; valuations on a class of functions have been introduced and studied by M. Ludwig and others. We study an explicit relation between continuous valuations on convex functions which are invariant
S. Alesker
semanticscholar +1 more source
Smart Rubber Extrusion Line Combining Multiple Sensor Techniques for AI‐Based Process Control
Advanced Engineering Materials, EarlyView.This publication presents a digitalization approach for a laboratory rubber extrusion line, employing innovative measurement methods and artificial intelligence (AI)‐based process control. The results demonstrate that the measurement systems are capable of detecting changes in the process and extrudate quality.
Alexander Aschemann +18 more
wiley +1 more source