We present numerous refinements of the Young inequality by the Kantorovich constant. We use these improved inequalities to establish the corresponding operator inequalities in a Hilbert space and some new inequalities involving the Hilbert–Schmidt norm of matrices.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 1, pp. 23–32, January, 2021. Ukrainian DOI: 10.37863/umzh.v73i1.901.
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Beiranvand, A., Ghazanfari, A.G. Improved Young and Heinz Operator Inequalities with Kantorovich Constant. Ukr Math J 73, 22–33 (2021). https://doi.org/10.1007/s11253-021-01905-2
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DOI: https://doi.org/10.1007/s11253-021-01905-2