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Some Standard Inequalities

Michael J. Cloud, Byron C. Drachman and Leonid P. Lebedev
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Michael J. Cloud: Lawrence Technological University, Department of Electrical Engineering
Byron C. Drachman: Michigan State University, Department of Mathematics
Leonid P. Lebedev: National University of Colombia, Department of Mathematics

Chapter Chapter 3 in Inequalities, 2014, pp 53-74 from Springer

Abstract: Abstract Here we examine certain famous inequalities that have left bold imprints on both pure and applied mathematics. These results, some of which are very old, pertain to functions, sequences, and integrals. We recall that integral inequalities are frequently deduced by establishing the corresponding result for series, writing it out for Riemann sums, and then implementing a limit passage. However, this is not the only method by which integral inequalities can be obtained.

Keywords: Integral Inequalities; Riemann Sum; Limit Passage; Cauchy-Schwarz Inequality; Korovkin (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-05311-0_3

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DOI: 10.1007/978-3-319-05311-0_3

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