Results 11 to 20 of about 6,057 (310)

On some classical integral inequalities in the setting of new post quantum integrals

AIMS Mathematics, 2023
In this article, we introduce the notion of $ _{a}{\bar{T}}_{p,q} $-integrals. Using the definition of $ _{a}{\bar{T}}_{p,q} $-integrals, we derive some new post quantum analogues of some classical results of Young's inequality, Hölder's inequality ...
Bandar Bin-Mohsin, Muhammad Uzair Awan, Muhammad Zakria Javed, Sadia Talib, Hüseyin Budak , Muhammad Aslam Noor, Khalida Inayat Noor   +6 more
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A Note about Young’s Inequality with Different Measures

International Journal of Mathematics and Mathematical Sciences, 2022
The key purpose of this paper is to work on the boundedness of generalized Bessel–Riesz operators defined with doubling measures in Lebesgue spaces with different measures.
Saba Mehmood, Eridani Eridani, Fatmawati Fatmawati   +2 more
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Generalizations of Ostrowski type inequalities via F-convexity

AIMS Mathematics, 2022
The aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the F-convex function class, which is a generalization of the strongly convex functions.
Alper Ekinci , Erhan Set, Thabet Abdeljawad , Nabil Mlaiki   +3 more
doaj   +1 more source

Certain Properties of the Modified Degenerate Gamma Function

Journal of Mathematics, 2021
In this paper, we prove some inequalities satisfied by the modified degenerate gamma function which was recently introduced. The tools employed include Holder’s inequality, mean value theorem, Hermite–Hadamard’s inequality, and Young’s inequality.
Kwara Nantomah
doaj   +1 more source

Trajectory Tracking Control for Reaction–Diffusion System with Time Delay Using P-Type Iterative Learning Method

Actuators, 2021
This paper has dealt with a tracking control problem for a class of unstable reaction–diffusion system with time delay. Iterative learning algorithms are introduced to make the infinite-dimensional repetitive motion system track the desired trajectory. A
Yaqiang Liu, Jianzhong Li, Zengwang Jin
doaj   +1 more source

On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation

Boundary Value Problems, 2022
In this paper, we address the Hall-MHD equations with partial dissipation. Applying some important inequalities (such as the logarithmic Sobolev inequality using BMO space, bilinear estimates in BMO space, Young’s inequality, cancellation property ...
Baoying Du
doaj   +1 more source

New Young Inequalities and Applications [PDF]

Zeitschrift für Analysis und ihre Anwendungen, 2019
We establish upper bounds for the convolution operator acting between interpolation spaces. This gives new Young inequalities in the context of Lorentz–Karamata spaces, grand Lebesgue spaces and small Lebesgue spaces besides many other known results. Furthermore, we use this abstract Young inequality to prove a bilinear interpolation theorem for limit ...
Fernández-Martínez, Pedro, Brandani da Silva, Eduardo   +1 more
openaire   +3 more sources

Some inequalities on generalized entropies [PDF]

, 2011
We give several inequalities on generalized entropies involving Tsallis entropies, using some inequalities obtained by improvements of Young's inequality.
A El-Barakaty, A Rényi, C Tsallis, C Tsallis, C Tsallis, C Tsallis, DI Cartwright, EW Weisstein, F Kittaneh, FC Mitroi, Flavia-Corina Mitroi, I Csiszár, I Csiszár, I Csiszár, J Aczél, JM Aldaz, JM Aldaz, L-H Sun, M Masi, M Sebawe Abdalla, N Minculete, N Minculete, N Minculete, Nicuşor Minculete, S Boucheron, S Dragomir, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, S Furuichi, Shigeru Furuichi, T Han, TM Cover, Z Daróczy, Z Ficek   +43 more
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Sharpness of Young's inequality for convolution.

MATHEMATICA SCANDINAVICA, 1983
T. S. Quek, Leonard Y. H. Yap
openalex   +4 more sources

Young’s inequality and trace

Linear Algebra and its Applications, 2009
Let \(M_{n}({\mathbb C})\) be the set of all complex \(n\)-square matrices. The modulus \((X^{\ast }X)^{1/2}\) of \(X\in M_{n}\) is written as \(|X|\). Let \(h=h(t):[0,\infty )\rightarrow [ 0,\infty )\) be strictly increasing, continuous function with \( h(0)=0\) and \(h(t)\rightarrow \infty \) as \(t\rightarrow \infty \).
Cho, Kazuki, Sano, Takashi
openaire   +1 more source