Basic Inequalities

Ravi Agarwal, Donal O’Regan and Samir Saker
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Ravi Agarwal: Texas A&M University–Kingsville, Department of Mathematics
Donal O’Regan: National University of Ireland, School of Mathematics, Statistics, and Applied Mathematics
Samir Saker: Mansoura University, Department of Mathematics

Chapter Chapter 2 in Dynamic Inequalities On Time Scales, 2014, pp 23-91 from Springer

Abstract: Abstract This chapter deals with the basic inequalities used in the rest of the book. The chapter is divided into seven sections and is organized as follows. In Sect. 2.1 we consider Young type inequalities which will be used in the proof of the Hölder and Minkowski inequalities. Section 2.2 discusses Jensen’s inequality on time scales and Sect. 2.3 considers Hölder type inequalities. In Sect. 2.4 we consider the Minkowski inequality and Sect. 2.5 is devoted to Steffensen type inequalities on time scales. Section 2.6 considers Hermite–Hadamard type inequalities and finally Sect. 2.7 discusses Čebyšev type inequalities on time scales.

Keywords: Hermite-Hadamard Type Inequalities; Minkowski Inequality; Nabla Integral; Steffensen Inequality; Delta Integral (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-11002-8_2

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DOI: 10.1007/978-3-319-11002-8_2

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