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Linear and Multilinear Algebra Volume 59, 2011 - Issue 9
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Original Articles

Reverse Young and Heinz inequalities for matrices

Fuad Kittaneh Department of Mathematics, University of Jordan, Amman, JordanCorrespondence[email protected]
&
Yousef Manasrah Department of Mathematics, Al-Zaytoonah University, Amman, Jordan
Pages 1031-1037 | Received 25 Sep 2010, Accepted 14 Dec 2010, Published online: 15 Apr 2011

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Hamid Reza Moradi, Shigeru Furuichi & Mohammad Sababheh. (2022) Some operator inequalities via convexity. Linear and Multilinear Algebra 70:22, pages 7740-7752.
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M. Shafiei & A. G. Ghazanfari. (2018) Numerous refinements of Pólya and Heinz operator inequalities. Linear and Multilinear Algebra 66:4, pages 852-860.
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S. S. Dragomir. (2018) Some inequalities of Hölder type for quadratic weighted geometric mean of bounded linear operators in Hilbert spaces. Linear and Multilinear Algebra 66:2, pages 268-279.
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S. Mahmoud Manjegani. (2017) On Young and Heinz inequalities for faithful tracial states. Linear and Multilinear Algebra 65:12, pages 2432-2456.
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Mojtaba Bakherad & Mohammad Sal Moslehian. (2015) Reverses and variations of Heinz inequality. Linear and Multilinear Algebra 63:10, pages 1972-1980.
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Jin Liang & Guanghua Shi. (2015) Refinements of the Heinz operator inequalities. Linear and Multilinear Algebra 63:7, pages 1337-1344.
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Horst Alzer, Carlos M. da Fonseca & Alexander Kovačec. (2015) Young-type inequalities and their matrix analogues. Linear and Multilinear Algebra 63:3, pages 622-635.
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J. Wu & J. Zhao. (2014) Operator inequalities and reverse inequalities related to the Kittaneh–Manasrah inequalities. Linear and Multilinear Algebra 62:7, pages 884-894.
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Rajinder Pal, Mandeep Singh & Jaspal Singh Aujla. (2014) Generalized operator version of Bernoulli’s inequality. Linear and Multilinear Algebra 62:2, pages 267-273.
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Fuad Kittaneh & Mario Krnić. (2013) Refined Heinz operator inequalities. Linear and Multilinear Algebra 61:8, pages 1148-1157.
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M. Sababheh & M.S. Moslehian. (2017) Advanced refinements of Young and Heinz inequalities. Journal of Number Theory 172, pages 178-199.
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Silvestru Sever Dragomir. 2017. Operations Research, Engineering, and Cyber Security. Operations Research, Engineering, and Cyber Security 199 229 .
S Malekinejad, S Talebi & AG Ghazanfari. (2016) Reverses of Young and Heinz inequalities for positive linear operators. Journal of Inequalities and Applications 2016:1.
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M. Sababheh. (2016) Convexity and matrix means. Linear Algebra and its Applications 506, pages 588-602.
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Wenshi Liao & Junliang Wu. (2015) Reverse arithmetic-harmonic mean and mixed mean operator inequalities. Journal of Inequalities and Applications 2015:1.
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Xingkai Hu & Jianming Xue. (2015) A note on reverses of Young type inequalities. Journal of Inequalities and Applications 2015:1.
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Mario Krnić. (2015) More accurate Young, Heinz, and Hölder inequalities for matrices. Periodica Mathematica Hungarica 71:1, pages 78-91.
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Wenshi Liao, Junliang Wu & Jianguo Zhao. (2015) NEW VERSIONS OF REVERSE YOUNG AND HEINZ MEAN INEQUALITIES WITH THE KANTOROVICH CONSTANT. Taiwanese Journal of Mathematics 19:2.
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