Results 11 to 20 of about 934 (139)

New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant

open access: yesJournal of Inequalities and Applications, 2017
The purpose of this paper is to give a survey of the progress, advantages and limitations of various operator inequalities involving improved Young’s and its reverse inequalities related to the Kittaneh-Manasrah inequality.
Jie Zhang, Junliang Wu
doaj   +2 more sources

Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality [PDF]

open access: yesSpecial Matrices, 2018
In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
doaj   +2 more sources

Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction [PDF]

open access: yesAbstract and Applied Analysis, 2013
This paper is concerned with a delay Lotka-Volterra model under regime switching diffusion in random environment. By using generalized Itô formula, Gronwall inequality and Young’s inequality, some sufficient conditions for existence of global positive ...
Zheng Wu, Hao Huang, Lianglong Wang
doaj   +2 more sources

Properties and Applications of Symmetric Quantum Calculus [PDF]

open access: yesFractal and Fractional
Symmetric derivatives and integrals are extensively studied to overcome the limitations of classical derivatives and integral operators. In the current investigation, we explore the quantum symmetric derivatives on finite intervals.
Miguel Vivas-Cortez   +4 more
doaj   +2 more sources

Some New Improvements of Huygen's Inequality

open access: yes, 2023
First, some improvements of Young’s inequality are given in this article.
Issa, A.   +3 more
core   +1 more source

A new generalized refinements of Young’s inequality

open access: yes, 2021
In this paper, we show a new generalized refinement of Young's inequality. As applications we give some new generalized refinements of Young type inequalities for the traces, determinants, and norms of positive definite matrices.
Ighachane, Mohamed Amine   +1 more
core   +1 more source

Newton–Simpson-type inequalities via majorization

open access: yesJournal of Inequalities and Applications, 2023
In this article, the main objective is construction of fractional Newton–Simpson-type inequalities with the concept of majorization. We established a new identity on estimates of definite integrals utilizing majorization and this identity will lead us to
Saad Ihsan Butt   +3 more
doaj   +1 more source

Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity

open access: yesBoundary Value Problems, 2022
In this article, we consider a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity. We prove explicit and general decay rate results of the solution to the viscoelastic plate equation with past history.
Bhargav Kumar Kakumani   +1 more
doaj   +1 more source

New Majorized Fractional Simpson Estimates

open access: yesAxioms, 2023
Fractional calculus has been a concept used to acquire new variants of some well-known integral inequalities. In this study, our primary goal is to develop majorized fractional Simpson’s type estimates by employing a differentiable function.
Xiaoye Ding   +4 more
doaj   +1 more source

Further generalized refinement of Young’s inequalities for τ -mesurable operators

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
In this paper, we prove that if a, b > 0 and 0 ≤ v ≤ 1.
Ighachane Mohamed Amine   +1 more
doaj   +1 more source

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