Operator inequalities associated with the Kantorovich type inequalities for s-convex functions

Ismail Nikoufar () and Davuod Saeedi ()
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Ismail Nikoufar: Payame Noor University
Davuod Saeedi: Payame Noor University

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 4, 1268-1277

Abstract: Abstract In this paper, we prove some operator inequalities associated with an extension of the Kantorovich type inequality for s-convex functions. We also give an application to the order preserving power inequality of three variables and find a better lower bound for the numerical radius of a positive operator under some conditions.

Keywords: s-convex function; Kantorovich inequality; Operator inequality; Hölder-McCarthy inequality; 47A63; 46N10; 47A60; 26D15 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00340-8

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