Results 101 to 110 of about 47,276 (293)

Robust Approximate Optimality Conditions for Uncertain Nonsmooth Optimization with Infinite Number of Constraints

Mathematics, 2018
This paper deals with robust quasi approximate optimal solutions for a nonsmooth semi-infinite optimization problems with uncertainty data. By virtue of the epigraphs of the conjugates of the constraint functions, we first introduce a robust type closed ...
Xiangkai Sun, Hongyong Fu, Jing Zeng
doaj   +1 more source

Generalizations of the Hermite-Hadamard Type Inequalities for Functions whose Derivatives are s-Convex

, 2009
Some new results related to the right-hand side of the Hermite- Hadamard type inequality for the class of functions whose derivatives at certain powers are s-convex functions in the second sense are ...
Kirmaci, US, Kirmaci, U. S, Dragomir, Sever S, Alomari, Mohammad, Darus, Maslina   +4 more
core  

MXenes as a Versatile Platform for High‐Energy‐Density Asymmetric Supercapacitors

Carbon Energy, EarlyView.
MXenes with high conductivity and tunable surface chemistry are reviewed as advanced electrodes for asymmetric supercapacitors. MAX‐phase synthesis, surface and interlayer engineering, defect modulation, and composite designs are discussed, highlighting enhanced ion transport, pseudocapacitance, energy density, cycling stability, and sustainable routes
Seul‐Yi Lee, Jagadis Gautam, Shrikant Vaiju Sadavar, Soo‐Jin Park   +3 more
wiley   +1 more source

Perovskite Photodetectors at the Intelligence Frontier: From Tunable Materials to Adaptive Optoelectronic Systems

Carbon Energy, EarlyView.
This comprehensive review presents a progressive roadmap for perovskite vision detectors. Centered on perovskite‐based artificial perception, the graphic illustrates a systematic evolution: starting with fundamental material engineering and device architectures, advancing toward complex functional strategies such as flexible neuromorphic imaging ...
Chenglong Li, Wei Qu, Deepak Kumar, Naini Jain, Nur Wardina Syahirah binti Mohamad Fadil, Nur Najiha binti Ahmad Rasid, Emannuel Kymakis, Maria Vasilopoulou, Chunxiong Bao, Feng Gao, Peng Gao, Sanjeev Kumar Sharma, Mohammad Khaja Nazeeruddin, Abd. Rashid bin Mohd Yusoff, Haotong Wei   +14 more
wiley   +1 more source

Notes on the differentiation of quasi-convex functions

, 2013
This expository paper presents elementary proofs of four basic results concerning derivatives of quasi-convex functions. They are combined into a fifth theorem which is simple to apply and adequate in many cases. Along the way we establish the equivalence of the basic lemmas of Jensen and Slodkowski.
Harvey, F. Reese, Lawson Jr, H. Blaine
openaire   +2 more sources

Some Companions of Fejér's Inequality for Convex Functions

, 2009
In this paper, we establish some companions of Fejér’s inequality for convex functions which generalize the inequalities of Hermite-Hadamard type from 'Two mappings in connection to Hadamard’s inequalities' (Dragomir, 1992) and 'On some refinements of
Hwang, Shiow-Ru, Tseng, Kuei-Lin, Dragomir, Sever S   +2 more
core  

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous, Cédric Gerbelot, Vanessa Piccolo   +2 more
wiley   +1 more source

Two Dimensional Harmonic Quasi Convex Functions and Integral Inequalities

, 2018
The objective of this paper is to introduce the notion of two-dimensional harmonic quasi-convex functions. We obtain some new Hermite-Hadamard type integral inequalities for two-dimensional harmonic quasi convex functions.
Aslam Noor, Muhammad, Inayat Noor, Khalida, Uzair Awan, Muhammad   +2 more
core   +1 more source

Beyond goniometry: 3D digital twinning of droplets from a single image

Droplet, EarlyView.
We present a method to produce physics‐informed three‐dimensional digital twins of droplets from a single image for wettability analyses. We validate the method with goniometry and demonstrate its capabilities with advancing‐receding contact angle measurements, irregularly shaped droplets, and multi‐droplet systems, indicating strong potential for in ...
Isaac Berk, Emilie Luong, H. Jeremy Cho
wiley   +1 more source