Results 61 to 70 of about 3,567,722 (263)

Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Application [PDF]

, 2007
An Ostrowski type inequality for convex functions defined on linear spaces is generalised. Some inequalities which improve the Hermite–Hadamard type inequality for convex functions defined on linear spaces are derived using the obtained result.
Cerone, P., Dragomir, S.S., Dragomir, Sever S, Cerone, Pietro, Kikianty, Eder   +4 more
core   +3 more sources

Generalized Convex Function and Associated Petrovic’s Inequality

International Journal of Analysis and Applications, 2019
In this paper, Petrovi´c’s inequality is generalized for h−convex functions, when h is supermultiplicative function. It is noted that the case for h−convex functions does not lead the particular cases for P −function, Godunova-Levin functions, s−Godunova-
A. Ur. Rehman, G. Farid, Vishnu Narayan Mishra   +2 more
doaj   +2 more sources

New quantum integral inequalities for some new classes of generalized ψ-convex functions and their scope in physical systems

Open Physics, 2021
In the present study, two new classes of convex functions are established with the aid of Raina’s function, which is known as the ψ-s-convex and ψ-quasi-convex functions. As a result, some refinements of the Hermite–Hadamard (ℋℋ{\mathcal{ {\mathcal H} {\
Rashid Saima, Parveen Saima, Ahmad Hijaz, Chu Yu-Ming   +3 more
doaj   +1 more source

A U‐shaped Microfluidic Platform for Culturing Vascularized Colorectal Cancer Spheroids Reveals Tumor–Endothelial Crosstalk and Invasion‐Associated Remodeling

Advanced Materials Technologies, EarlyView.
A closed U‐shaped microfluidic platform symmetrically embeds a single, size‐controlled HT29 colorectal cancer spheroid within a GFP‐HUVEC‐laden fibrin matrix. HT29 spheroids are associated with hyper‐branched endothelial network remodeling, while vascularized co‐culture is accompanied by anisotropic protrusive growth and EMT‐like marker changes in the ...
G. Cretti, M. Ballerini, A. Mantegazza, P. Occhetta, M. Rasponi   +4 more
wiley   +1 more source

Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p-Convex Function

Journal of Mathematics, 2020
In the present paper, the new interval-valued generalized p convex functions are introduced. By using the notion of interval-valued generalized p convex functions and some auxiliary results of interval analysis, new Hermite–Hadamard and Fejér type ...
Zhengbo Li, Kamran, Muhammad Sajid Zahoor, Huma Akhtar   +3 more
doaj   +1 more source

Learning Highly Dynamic Skills Transition for Quadruped Jumping Through Constrained Space

Advanced Robotics Research, EarlyView.
A quadruped robot masters dynamic jumps through constrained spaces with animal‐inspired moves and intelligent vision control. This hierarchical learning approach combines imitation of biological agility with real‐time trajectory planning. Although legged animals are capable of performing explosive motions while traversing confined spaces, replicating ...
Zeren Luo, Jiahui Zhang, Yimin Han, Ji Ma, Minghao Lu, Ioannis Havoutis, Peng Lu   +6 more
wiley   +1 more source

Convexity of the generalized sine function and the generalized hyperbolic sine function

Journal of Approximation Theory, 2013
\textit{B. A. Bhayo} and \textit{M. Vuorinen} [J. Approx. Theory 164, No. 10, 1415--1426 (2012; Zbl 1257.33052)] have introduced and studied generalized trigonometric and hyperbolic functions with two parameters. They posed also a conjecture on the effect that, when the parameters are greater than 1, then the generalized sine function is geometrically ...
Wei-Dong Jiang, Miao-Kun Wang, Yu-Ming Chu 0001, Yue-Ping Jiang, Feng Qi 0001   +4 more
openaire   +3 more sources

Identifying Physical Interactions in Contact‐Based Robot Manipulation for Learning from Demonstration

Advanced Robotics Research, EarlyView.
Robots can learn manipulation tasks from human demonstrations. This work proposes a versatile method to identify the physical interactions that occur in a demonstration, such as sequences of different contacts and interactions with mechanical constraints.
Alex Harm Gert‐Jan Overbeek, Herman van der Kooij, Douwe Dresscher, Mark Vlutters   +3 more
wiley   +1 more source

A State‐Adaptive Koopman Control Framework for Real‐Time Deformable Tool Manipulation in Robotic Environmental Swabbing

Advanced Robotics Research, EarlyView.
This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi, Amirreza Davar, Dongyi Wang   +2 more
wiley   +1 more source

Generalized (h,r)-Harmonic Convex Functions and Inequalities

International Journal of Analysis and Applications, 2018
The main aim of this paper is to introduce a new class of harmonic convex functions with respect to non-negative function h, which is called generalized (h,r)-harmonic convex functions.
Muhammad Aslam Noor, Khalida Inayat Noor, Sabah Iftikhar, Farhat Safdar   +3 more
doaj   +2 more sources