Supermeasures Associated to Some Classical Inequalities

Silvestru Sever Dragomir ()
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Silvestru Sever Dragomir: Victoria University, Department of Mathematics, College of Engineering and Science

A chapter in Contributions in Mathematics and Engineering, 2016, pp 127-152 from Springer

Abstract: Abstract In this paper we give some examples of supermeasures that are naturally associated to classical inequalities such as Jensen’s inequality, Hölder’s inequality, Minkowski’s inequality, Cauchy–Bunyakovsky–Schwarz’s inequality, Čebyšev’s inequality, Hermite–Hadamard’s inequalities and the definition of convexity property. As a consequence of monotonic nondecreasing property of these supermeasures, some refinements of the above inequalities are also obtained.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31317-7_8

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DOI: 10.1007/978-3-319-31317-7_8

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