Results 81 to 90 of about 2,194,406 (379)

A more generalized Gronwall-like integral inequality with applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
This paper deals with a new Gronwall-like integral inequality which is a generalization of integral inequalities proved by Engler (1989) and Pachpatte (1992).
Qinghua Ma, Lokenath Debnath
doaj   +1 more source

q-Hardy type inequalities for quantum integrals

open access: yesAdvances in Difference Equations, 2021
The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers.
Necmettin Alp, Mehmet Zeki Sarikaya
doaj   +1 more source

Multiobjective Codesign Optimization of a Planar Pneumatic Artificial Muscle‐Based Snake‐Like Robot for Enhanced Agility and Energy Efficiency

open access: yesAdvanced Robotics Research, EarlyView.
A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley   +1 more source

A sharp integral inequality for the dyadic maximal operator and a related stability result

open access: yes, 2019
We prove a sharp integral inequality for the dyadic maximal operator due to which the evaluation of the Bellman function of this operator with respect to two variables is possible, as can be seen in [3].
Nikolidakis, Eleftherios N.
core   +1 more source

An Equivalent Form Related to a Hilbert-Type Integral Inequality [PDF]

open access: gold, 2023
Michael Th. Rassias   +2 more
openalex   +1 more source

On Hilbert's Integral Inequality

open access: yesJournal of Mathematical Analysis and Applications, 1998
In this paper, the Hilbert integral inequality \[ \int^\infty_0 \int^\infty_0 {f(x)g(y)\over x+y} dx dy\leq \pi\Biggl(\int^\infty_0 f^2(x)dx\Biggr)^{1/2}\Biggl(\int^\infty_0 g^2(x)dx\Biggr)^{1/2}\tag{1} \] and its equivalent form \[ \int^\infty_0 \Biggl(\int^\infty_0 {f(x)\over x+y} dx\Biggr)^2 dy\leq \pi^2\int^\infty_0 f^2(x)dx\tag{2} \] are ...
openaire   +2 more sources

Data‐Driven Multi‐Objective Optimization of Large‐Diameter Si Floating‐Zone Crystal Growth

open access: yesAdvanced Theory and Simulations, EarlyView.
This study presents a surrogate‐based Multi‐Objective Optimization framework for Floating Zone silicon crystal growth. An ensemble of Neural Networks is trained on simulation data and combined with Genetic Algorithms to explore trade‐offs in process parameters.
Lucas Vieira   +3 more
wiley   +1 more source

Parabiosis, Assembloids, Organoids (PAO)

open access: yesAdvanced Science, EarlyView.
This review evaluates parabiosis, organoids, and assembloids as complementary disease models spanning systemic, organ, and multi‐organ levels. It highlights their construction strategies, applications, and current limitations, while emphasizing their integration with frontier technologies such as artificial intelligence, organ‐on‐a‐chip, CRISPR, and ...
Yang Hong   +5 more
wiley   +1 more source

On an integral inequality

open access: yesJournal of Numerical Analysis and Approximation Theory, 1989
Not available.
Horst Alzer
doaj   +2 more sources

Willmore submanifolds in a sphere

open access: yes, 2002
Let $x:M\to S^{n+p}$ be an $n$-dimensional submanifold in an $(n+p)$-dimensional unit sphere $S^{n+p}$, $x:M\to S^{n+p}$ is called a Willmore submanifold to the following Willmore functional: $$ \int_M(S-nH^2)^{\frac{n}{2}}dv, $$ where $S=\sum\limits_ ...
Li, Haizhong
core   +2 more sources

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