A Note about Young’s Inequality with Different Measures [PDF]
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 +2 more
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New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant [PDF]
Journal 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
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The interpolation of Young’s inequality using dyadics [PDF]
Journal of Inequalities and Applications, 2019 In this article we interpolate Young’s inequality using a delicate treatment of dyadics. Although there are other simple methods to prove these results, we present this new approach hoping to reveal more of the hidden properties of such inequalities.
Mohammad Sababheh, Abdelrahman Yousef
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Further generalized refinement of Young’s inequalities for τ -mesurable operators [PDF]
Moroccan 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
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Generalizations and applications of Young’s integral inequality by higher order derivatives [PDF]
Journal of Inequalities and Applications, 2019 In the paper, the authors 1.generalize Young’s integral inequality via Taylor’s theorems in terms of higher order derivatives and their norms, and2.apply newly-established integral inequalities to estimate several concrete definite integrals, including a
Jun-Qing Wang, Bai-Ni Guo, Feng Qi
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Alternative reverse inequalities for Young's inequality [PDF]
Journal of Mathematical Inequalities, Vol.5(2011), pp.595-600, 2011 Two reverse inequalities for Young's inequality were shown by M. Tominaga, using Specht ratio. In this short paper, we show alternative reverse inequalities for Young's inequality without using Specht ratio.
Furuichi, Shigeru, Minculete, Nicuşor
arxiv +3 more sources
Young’s inequality and trace [PDF]
, 2009 Let φ be a positive linear functional on Mn(C) and f,g mutually conjugate in the sense of Young. In this note we show a necessary and sufficient condition for the inequality|φ(A∗B)|≦φf(|A|)+φg(|B|)(A,B∈Mn(C))in terms of φ and f.
Kazuki Cho, Takashi Sano
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Some results of Heron mean and Young’s inequalities [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we will show some improvements of Heron mean and the refinements of Young’s inequalities for operators and matrices with a different method based on others’ results.
Changsen Yang, Yonghui Ren
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Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality
Special 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.
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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
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