Results 61 to 70 of about 5,733,692 (290)

GTH-convex functions, their properties, and their integral inequalities

Open Mathematics
In this paper, the authors introduce a new class of generalized convex functions, called GTH-convex functions. They investigate their fundamental properties and establish several new integral inequalities of Hermite–Hadamard type for this class of ...
Bai Yu-Mei, Wu Ying, Qi Feng
doaj   +1 more source

On Bazilevič and convex functions [PDF]

Transactions of the American Mathematical Society, 1969
(2) zf'(z) = f(z)'g(z)lh(z) and (3) Reh(z) = Re(zf'(z)/f(z)'1-,g(z)") > 0 in IzI < 1. Thomas [12] called a function satisfying the condition (3) a Bazilevic function of type /. Let C(r) denote the curve which is the image of the circle Izi =r < 1 under the mapping w =f(z), and let L(r) denote the length of C(r). Let M(r) = maxj2j = r I f(z) 1.
openaire   +1 more source

Degradable, Skin‐Conformal Nanocomposite‐Based Bioelectronic Patches for High‐Fidelity Electrophysiology and Gesture‐Controlled Robotics

Advanced Functional Materials, EarlyView.
A degradable, skin‐conformal bioelectronic patch combines a starch‐dominated nanocomposite conductor with a gelatin substrate to enable sensitive strain sensing, high‐fidelity electrocardiography, electromyography, electrooculography, and machine‐learning‐assisted gesture control.
Ming Dong, Hongna Yuan, Shubo Liu, Abdulkadir Sanli, Emiliano Bilotti, Han Zhang, Pietro Cataldi, Karin Hing, Oliver Fenwick, Colin J. Humphreys, Dimitrios G. Papageorgiou   +10 more
wiley   +1 more source

A study of Hermite-Hadamard inequalities via Caputo-Fabrizio fractional integral operators using strongly ( s , m ) $(s, m)$ -convex functions in the second sense

Journal of Inequalities and Applications
New ways for comparing and bounding strongly ( s , m ) $(s,m)$ -convex functions using Caputo fractional derivatives and Caputo-Fabrizio integral operators are explored.
Jie Li, Yong Lin, Serap Özcan, Muhammad Shoaib Saleem, Ahsan Fareed Shah   +4 more
doaj   +1 more source

Beyond Thin Film Limits—Superhard and Hydrogen‐Free Amorphous Carbon Coatings With Over 100 µm Thickness

Advanced Functional Materials, EarlyView.
For the first time, an extreme‐thick laser‐arc PVD ta‐C (DLC) coating exceeding 100 µm is demonstrated, opening up new possibilities for ultra‐high load bearing capacity. This superhard amorphous carbon architecture combines >50% sp3 bonding, robust adhesion and self‐supporting performance, shielding substrates from plastic flow under extreme contact ...
Martin Zawischa, Frank Kaulfuß, Stefan Makowski, Volker Weihnacht   +3 more
wiley   +1 more source

Hermite-Hadamard type inequalities for r-convex functions in q-calculus

Le Matematiche, 2015
The aim of this work is to establish the q-analogue of Hermite-Hadamard inequalities for convex functions and r-convex functions.
Kamel Brahim, Riahi Latifa, Sabrina Taf
doaj  

Association of Jensen’s inequality for s-convex function with Csiszár divergence

Journal of Inequalities and Applications, 2019
In the article, we establish an inequality for Csiszár divergence associated with s-convex functions, present several inequalities for Kullback–Leibler, Renyi, Hellinger, Chi-square, Jeffery’s, and variational distance divergences by using particular s ...
Muhammad Adil Khan, Muhammad Hanif, Zareen Abdul Hameed Khan, Khurshid Ahmad, Yu-Ming Chu   +4 more
doaj   +1 more source

Inequalities for a Unified Integral Operator for Strongly α,m-Convex Function and Related Results in Fractional Calculus

Journal of Function Spaces, 2021
In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and α,m-convex functions.
Chahn Yong Jung, Ghulam Farid, Kahkashan Mahreen, Soo Hak Shim   +3 more
doaj   +1 more source

Dynamic Observation of Lacy Pattern Formation in a Bone Tissue Model Using Liquid Phase Scanning Transmission Electron Microscopy

Advanced Functional Materials, EarlyView.
Here, we establish a low‐dose liquid‐phase electron microscopy workflow for real‐time observation of biological processes in hydrated conditions. Beam damage is reduced by imaging only 20% of the pixels and reconstructing the complete image using an inpainting algorithm.
Luco Rutten, Avital Wagner, Rona Roverts, Luco Buise, Ben Joosten, Anat Akiva, Elena Macías‐Sánchez, Nico Sommerdijk   +7 more
wiley   +1 more source

Hermite-Hadamard Type Inequalities For Two Times Differentiable Arithmetic-Harmonically Convex Functions

Cumhuriyet Science Journal, 2019
In this work, by using both anintegral identity and the Hölder, the power-mean integral inequalities it isestablished several new inequalities for two times differentiablearithmetic-harmonically-convex function. Also, a few applications are given forsome
Huriye Kadakal
doaj   +1 more source