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1959•Proceedings of the American Mathematical SocietyOpen access

On a generalization of an inequality of L. V. Kantorovich

Werner H. Greub, Werner C. Rheinboldt

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Abstract

G. E. Forsythe, who edited the translation of Kantorovich's paper, included the following remark about this footnote: It is not clear to me that Kantorovich's inequality really is a special case of that of Polya and Szego. Examining the relation between the two inequalities more closely we found that this remark is well justified and can be made even more specific in that the inequality of Polya and Szeg6 in the form (4) is a special case of the Kantorovich inequality

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What this paper is about

G. E. Forsythe, who edited the translation of Kantorovich's paper, included the following remark about this footnote: It is not clear to me that Kantorovich's inequality really is a special case of that of Polya and Szego. Examining the relation between the two inequalities more closely we found that this remark is well justified and can be made even more specific in that the inequality of Polya and Szeg6 in the form (4) is a special case of the Kantorovich inequality

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Available abstract

G. E. Forsythe, who edited the translation of Kantorovich's paper, included the following remark about this footnote: It is not clear to me that Kantorovich's inequality really is a special case of that of Polya and Szego. Examining the relation between the two inequalities more closely we found that this remark is well justified and can be made even more specific in that the inequality of Polya and Szeg6 in the form (4) is a special case of the Kantorovich inequality

Key concepts: Generalization, Mathematics, Inequality, Mathematical economics, Kantorovich inequality, Calculus (dental), Linear inequality, Mathematical analysis

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