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Linear and Multilinear Algebra Volume 63, 2015 - Issue 3
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Articles

Young-type inequalities and their matrix analogues

Horst Alzer Waldbröl, Germany.Correspondence[email protected]
,
Carlos M. da FonsecaDepartamento de Matemática, Universidade de Coimbra, Coimbra, Portugal.
&
Alexander KovačecDepartamento de Matemática, Universidade de Coimbra, Coimbra, Portugal.
Pages 622-635 | Received 26 Nov 2013, Accepted 20 Jan 2014, Published online: 13 Jun 2014

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Ata Abu-As’ad & Omar Hirzallah. (2019) Inequalities for Contraction Matrices. Numerical Functional Analysis and Optimization 40:8, pages 980-991.
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Mohamed Amine Ighachane, Duong Quoc Huy, Doan Thi Thuy Van & Mohammed Bouchangour. (2023) Further refinements of real power form inequalities for convex functions via weak sub-majorization. Rendiconti del Circolo Matematico di Palermo Series 2 73:3, pages 1101-1138.
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Sever DRAGOMIR. (2024) Refinements and Reverses of Tensorial and Hadamard Product Inequalities for Selfadjoint Operators in Hilbert Spaces Related to Young's Result. Communications in Advanced Mathematical Sciences 7:1, pages 56-70.
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Yonghui Ren. (2024) Some new Young type inequalities. AIMS Mathematics 9:3, pages 7414-7425.
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Mohamed Amine Ighachane, Mohamed Akkouchi & Mohammad Sababheh. (2024) NEW INEQUALITIES FOR POSITIVE CONVEX FUNCTIONS. Journal of Applied Analysis & Computation 14:2, pages 703-716.
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Zakaria Taki, Mohamed Amine Ighachane, Duong Quoc Huy & Doan Thi Thuy Van. (2023) Further improvement of Alzer–Fonseca–Kovačec’s type inequalities via weak sub-majorization with applications. Advances in Operator Theory 9:1.
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Hiroaki Tohyama, Eizaburo Kamei & Masayuki Watanabe. (2023) Operator valued inequalities based on Young’s inequality. Advances in Operator Theory 8:2.
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Jianguo Zhao. (2022) Further Refinements and Generalizations of the Young’s and Its Reverse Inequalities. Bulletin of the Malaysian Mathematical Sciences Society 46:2.
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Mohammad H. M. Rashid & Feras Bani-Ahmad. (2023) New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant. Special Matrices 11:1.
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Yonghui Ren. (2023) Generalizations of AM-GM-HM means inequalities. AIMS Mathematics 8:12, pages 29925-29931.
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Mohamed IghachaneAmineAmine & Mohammed Bouchangour. (2023) New inequalities for (p,h)-convex functions for τ-measurable operators. Filomat 37:16, pages 5259-5271.
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Mohamed IghachaneAmineAmine, Mohamed Akkouchi & Mohammad Sababheh. (2023) Power inequalities for log-convex functions with applications. Filomat 37:13, pages 4425-4441.
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Mohamed Amine Ighachane. (2022) MULTIPLE-TERM REFINEMENTS OF ALZER–FONSECA–KOVAČEC INEQUALITIES. Rocky Mountain Journal of Mathematics 52:6.
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Yonghui Ren & Pengtong Li. (2022) Strengthenings of Young-type inequalities and the arithmetic geometric mean inequality. Mathematica Slovaca 72:5, pages 1151-1162.
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Yonghui Ren & Pengtong Li. (2022) Some results of reverses young’s inequalities. Filomat 36:8, pages 2541-2550.
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Shigeru Furuichi & Nicuşor Minculete. (2021) Bounds for the Differences between Arithmetic and Geometric Means and Their Applications to Inequalities. Symmetry 13:12, pages 2398.
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Mohamed Amine Ighachane, Mohamed Akkouchi & El Hassan Benabdi. (2021) Further refinements of Alzer–Fonseca–Kovačec’s inequalities and applications. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 115:3.
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Mohamed Amine Ighachane & Mohamed Akkouchi. (2021) Further refinements of Young’s type inequality for positive linear maps. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 115:2.
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Jiaxu Zhang & Shiying Zhou. (2020) Robust adaptive anti-windup wheel slip tracking control for intelligent vehicle with fast terminal sliding mode observer. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 234:14, pages 3373-3384.
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Jiaxu Zhang, Zhengtang Shi, Xiong Yang & Jian Zhao. (2020) Robust adaptive control for continuous wheel slip rate tracking of vehicle with state observer. Measurement and Control 53:7-8, pages 1331-1341.
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Yonghui Ren. (2020) Some results of Young-type inequalities. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 114:3.
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Jiaxu Zhang, Shiying Zhou & Jian Zhao. (2020) Nonlinear robust wheel slip rate tracking control for autonomous vehicle with actuator dynamics. Advances in Mechanical Engineering 12:6, pages 168781402092522.
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Shigeru Furuichi, Mohammad Bagher Ghaemi & Nahid Gharakhanlu. (2017) Generalized Reverse Young and Heinz Inequalities. Bulletin of the Malaysian Mathematical Sciences Society 42:1, pages 267-284.
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S. S. Dragomir. (2017) Multiplicative inequalities for weighted geometric mean in Hermitian unital Banach $$*$$ ∗ -algebras. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 112:4, pages 1349-1365.
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Maryam Khosravi. (2018) Some improvements of the young mean inequality and its reverse. Mathematica Slovaca 68:4, pages 803-810.
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M. Sababheh. (2017) Graph indices via the AM–GM inequality. Discrete Applied Mathematics 230, pages 100-111.
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M. Sababheh. (2016) Convexity and matrix means. Linear Algebra and its Applications 506, pages 588-602.
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M. Sababheh & D. Choi. (2016) A complete refinement of Young's inequality. Journal of Mathematical Analysis and Applications 440:1, pages 379-393.
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