Results 61 to 70 of about 36,503 (284)

A general isepiphanic inequality

, 1984
An inequality of Petty regarding the volume of a convex body and that of the polar of its projection body is shown to lead to an inequality between the volume of a convex body and the power means of its brightness function.
Erwin Lutwak
core   +1 more source

Advancements in Convex Analysis Through Inverse Cosine Function with Applications [PDF]

Sahand Communications in Mathematical Analysis
In this article, we introduce a new class of convex functions called $\alpha$-inverse cosine convex functions ($\alpha$-ICCF), which extends the traditional classes.
Atika Imran, Muhammad Samraiz, Saima Naheed   +2 more
doaj   +1 more source

Generalization of the power means and their inequalities

Journal of Mathematical Analysis and Applications, 1991
The paper contains a generalization of the power means which includes a class of positive nonlinear functionals. For these new means the author obtains generalizations of the fundamental mean inequality, Hölder's, Minkowski's and related inequalities.
openaire   +2 more sources

A Physics Constrained Machine Learning Pipeline for Young's Modulus Prediction in Multimaterial Hyperelastic Cylinders Guided by Contact Mechanics

Advanced Intelligent Discovery, EarlyView.
A physics‐guided machine learning framework estimates Young's modulus in multilayered multimaterial hyperelastic cylinders using contact mechanics. A semiempirical stiffness law is embedded into a custom neural network, ensuring physically consistent predictions. Validation against experimental and numerical data on C.
Christoforos Rekatsinas, Panagiotis Krokidas, Vasileios Vavourakis, Clara Essmann, George Giannakopoulos   +4 more
wiley   +1 more source

Convexity properties of generalized trigonometric and hyperbolic functions

, 2013
We study the power mean inequality for generalized trigonometric and hyperbolic functions with two parameters. The generalized p-trigonometric and (p, q)-trigonometric functions were introduced by Lindqvist and Takeuchi ...
Baricz, Árpád, Bhayo, Barkat Ali, Klén, Riku   +2 more
core   +1 more source

Integral Inequalities for Mappings Whose Derivatives Are s-Convex in the Second Sense and Applications to Special Means for Positive Real Numbers [PDF]

, 2020
In this paper, the authors establish a new type integral inequalities for differentiable s-convex functions in the second sense. By the well-known Hölder inequality and power mean inequality, they obtain some integral inequalities related to the s-convex
Mevlüt Tunç, Sevil Balgeçti
core  

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

Advanced Intelligent Systems, EarlyView.
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley   +1 more source

On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions

Journal of New Theory, 2021
In this paper, we first introduce a new class of convex functions called strong s-Godunova-Levin functions, which encompass the strong Godunova-Levin, s-Godunova-Levin, and Godunova-Levin function classes. By relying on the identity given by Cerone et al.
Assia Azaizia, Badreddine Meftah
doaj  

Some Inequalities Involving Weighted Power Mean

Tatra Mountains Mathematical Publications
Abstract In this paper, we first show some inequalities on weighted power mean. When a, b > 0, p ≥ 1and 0 <v ≤ τ< 1, we have
Zuo, Hongliang, Niu, Xinyu
openaire   +2 more sources

AI‐Assisted IoT‐Enabled ECG Monitoring: Integrating Foundational and Generative AI Tools for Sustainable Smart Healthcare—Recent Trends

AI &Innovation, EarlyView.
ABSTRACT The rapid evolution of the Internet of Things (IoT) has significantly advanced the field of electrocardiogram (ECG) monitoring, enabling real‐time, remote, and patient‐centric cardiac care. This paper presents a comprehensive survey of AI assisted IoT‐based ECG monitoring systems, focusing on the integration of emerging technologies such as ...
Amrita Choudhury, Kandarpa Kumar Sarma, Lachit Dutta   +2 more
wiley   +1 more source