Copson-Type Inequalities

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

Chapter Chapter 2 in Hardy Type Inequalities on Time Scales, 2016, pp 49-67 from Springer

Abstract: Abstract This chapter considers time scale versions of Copson type inequalities and their converses. We prove extensions of Copson type inequalities proved by Walsh on discrete time scales and we also consider converses of these inequalities. This chapter is divided into four sections and is organized as follows. In Sect. 2.1, we prove a time scale version of a Copson inequality and in Sect. 2.2, we consider generalized Copson type inequalities. In Sect. 2.3, we present converses of Copson-type inequalities.

Keywords: Time Scale Version; Copson; Hardy-Littlewood Type Inequalities; Inequality Dynamics; Continuous Counterpart (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-44299-0_2

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DOI: 10.1007/978-3-319-44299-0_2

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