Results 111 to 120 of about 1,025,304 (327)

\(h\)-strongly \(E\)-convex functions

open access: yesJournal of Numerical Analysis and Approximation Theory, 2011
Starting from strongly \(E\)-convex functions introduced by E. A. Youness, and T. Emam, from \(h\)-convex functionsintroduced by S. Varošanec and from the more general conceptof \(h\)-convex functions introduced by A.
Daniela Marian
doaj   +2 more sources

Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications

open access: yesJournal 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
doaj   +1 more source

Most Convex Functions Have Unique Minimizers [PDF]

open access: yesarXiv, 2014
Finding the minimum and the minimizers of convex functions has been of primary concern in convex analysis since its conception. It is well-known that if a convex function has a minimum, then that minimum is global. The minimizers, however, may not be unique. There are certain subclasses, such as strictly convex functions, that do have unique minimizers
arxiv  

Kirigami‐Inspired Breathable Smart Contact Lens for Wireless Monitoring of Corneal Hypoxia and Microenvironment

open access: yesAdvanced Healthcare Materials, EarlyView.
A kirigami‐inspired breathable smart contact lens is reported for wireless monitoring of corneal hypoxia and microenvironment. The ultrathin (55 µm) and flexible sensing device enables digitalized, in situ and precise monitoring of dissolved oxygen, humidity, and temperature (R2 >0.98).
Jiaxue Zhu   +11 more
wiley   +1 more source

Some types of convex functions on networks

open access: yesJournal of Numerical Analysis and Approximation Theory, 2009
We present and study some kinds of convex functions defined on undirected networks. The relations between these concepts are also presented. We adopt the definition of network as metric space used by Dearing P. M. and Francis R. L. in 1974.
Daniela Marian
doaj   +2 more sources

Compact convex sets that admit a lower semicontinuous strictly convex function [PDF]

open access: yesarXiv, 2015
We study the class of compact convex subsets of a topological vector space which admits a strictly convex and lower semicontinuous function. We prove that such a compact set is embeddable in a strictly convex dual Banach space endowed with its weak$^*$ topology.
arxiv  

A Bioengineered Model of the Human Cornea for Preclinical Assessment of Human Ocular Exposure to Environmental Toxicants

open access: yesAdvanced Healthcare Materials, Volume 14, Issue 7, March 14, 2025.
This paper presents a microphysiological system containing an array of individually addressable living corneal tissues constructed using primary human cells. The bioengineered eye model can simulate acute exposure of the human cornea to different types of environmental toxicants and provides a novel platform for visualization and quantitative ...
Se‐jeong Kim   +12 more
wiley   +1 more source

Some inequalities for strongly $(p,h)$-harmonic convex functions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
In this paper, we show that harmonic convex functions $f$ is strongly $(p, h)$-harmonic convex functions if and only if it can be decomposed as $g(x) = f(x) - c (\frac{1}{x^p})^2,$ where $g(x)$ is $(p, h)$-harmonic convex function.
M.A. Noor, K.I. Noor, S. Iftikhar
doaj   +1 more source

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