Results 61 to 70 of about 16,017,612 (284)

Two‐Photon Grayscale Lithography (2GL) of High Mechanical and Optical Quality 3D Silica Glass Microstructures

Advanced Functional Materials, EarlyView.
Two‐photon grayscale lithography (2GL) enables high‐speed and precise 3D printing of thermolyzed silica glass microstructures with optical‐grade surface quality, high quality factors, and mechanical strength utilizing a custom‐made pre‐glass resist based on polyhedral oligomeric silsesquioxane (POSS) modified with a high‐sensitivity Norrish type II ...
Jonathan L. G. Schneider, Jiajie Liang, Paul Somers, Martin Wegener, Jens Bauer   +4 more
wiley   +1 more source

Generalized Fractal Jensen–Mercer and Hermite–Mercer type inequalities via h-convex functions involving Mittag–Leffler kernel

Alexandria Engineering Journal, 2022
In this paper, we present generalized Jensen-Mercer inequality for a generalized h-convex function on fractal sets. We proved Hermite-Hadamard-Mercer local fractional integral inequalities via integral operators pertaining Mittag-Leffler kernel. Also, we
Peng Xu, Saad Ihsan Butt, Saba Yousaf, Adnan Aslam, Tariq Javed Zia   +4 more
doaj   +1 more source

Coordinated Architectural and Chemical Reinforcement in the Crushing Mandible of a Soldier Termite

Advanced Functional Materials, EarlyView.
The crushing mandible of a soldier termite withstands substantial biting loads despite lacking mineral. Its cuticle is partitioned: convex teeth pair hardness and zinc enrichment with aligned chitin fibers for contact durability, while stiffer concave regions between teeth carry bending loads.
Andrew Tran Nguyen, Patryk Wąsik, Juan Fernando Cucuyame Morales, Marie Kate Palau, Adrian Francisco Duran Ornelas, Phani Saketh Dasika, Jin Hee Kim, Radhika Laxminarayana, Eric Hintsala, Greta Chang, Junzhi Liao, Lizhi Sun, Nathan Lord, Atsushi Arakaki, Paul Bardunias, Pablo Zavattieri, David Kisailus   +16 more
wiley   +1 more source

On derivability criteria of h-Convex Functions

Statistics, Optimization & Information Computing
This study pursues two main objectives. First, we aim to generalize the Criterion of Derivability for convex functions, which posits that for a specific type of mathematical function defined on an interval, the function is convex if and only if its rate of change (first derivative) is monotonically increasing across that interval. We aim to expand this
Mousaab Bouafia, Adnan Yassine, Thabet Abdeljawad   +2 more
openaire   +1 more source

On the ${\mathbb H}$-cone-functions for H-convex sets

, 2018
Given a compact and H-convex subset $K$ of the Heisenberg group ${\mathbb H}$, with the origin $e$ in its interior, we are interested in finding a homogeneous H-convex function $f$ such that $f(e)=0$ and $f\bigl|_{\partial K}=1$; we will call this function $f$ the ${\mathbb H}$-cone-function of vertex $e$ and base $\partial K$.
Calogero, Andrea, Pini, Rita
openaire   +3 more sources

Some inequalities for geometrically-arithmetically h-convex functions [PDF]

Creative Mathematics and Informatics, 2014
In this paper, we consider a class of geometrically convex function which is called geometrically-arithmetically h-convex function. Some inequalities of Hermite-Hadamard type for geometrically-arithmetically h-convex functions are derived. Several special cases are discussed.
MUHAMMAD ASLAM NOOR, KHALIDA INAYAT NOOR, MUHAMMAD UZAIR AWAN   +2 more
openaire   +2 more sources

Some inequalities for cr-log-h-convex functions

Journal of Inequalities and Applications, 2022
AbstractThe main purpose of this paper is to study certain inequalities forcr-log-h-convex functions with an interval value. To this end, we first give a definition ofcr-log-h-convexity of interval-valued functions under thecr-order and study some properties of such functions.
Wei Liu, Fangfang Shi, Guoju Ye, Dafang Zhao   +3 more
openaire   +2 more sources

Bacterial Cellulose‐Based Bilayer Passive Cooler for High‐Performance Radiative/Evaporative Cooling

Advanced Functional Materials, EarlyView.
A sustainable bilayer passive cooler based on bacterial cellulose integrates radiative and evaporative cooling for efficient zero‐energy temperature reduction. The scalable, low‐carbon material shows strong potential for food preservation, low‐temperature storage, and cold‐chain logistics.
Yibing Zhang, Da‐Wen Sun, Liang Xu, You Tian, Libin Sun, Rui Hu, Shiwei Zheng   +6 more
wiley   +1 more source

Jensen-Type Inequalities for Divided Differences via Generalized Convex Functions

Annales Mathematicae Silesianae
In this paper, we use (m+4)-convex functions to derive an estimate for Jensen’s inequality in the context of divided differences. In addition, we extend these results for (h, g; α − n)-convex functions.
Aras-Gazić Gorana, Jakšetić Julije, Pečarić Josip   +2 more
doaj   +1 more source

Extrapolation of (p, h)-convex functions

Filomat
In recent years, some interesting multi-term refinements of interpolated and extrapolated Jensen-type inequalities for convex functions have been established. The main objective of this paper is to utilize new techniques for generalizing these types of inequalities to (p, h)-convex functions.
Zakaria Taki, Mohamed Ighachane, Duong Huy   +2 more
openaire   +1 more source