Littlewood-Bennett 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 4 in Hardy Type Inequalities on Time Scales, 2016, pp 91-120 from Springer

Abstract: Abstract In this chapter (which consists of four sections) we consider inequalities of Littlewood type. The aim is to extend these inequalities to time scales. In Sect. 4.1 we give a generalization and a time scale version of his inequality (which he proved in 1967). In Sects. 4.2 and 4.3 we present time scale versions of extensions of Littlewood’s results due to Bennett. In Sect. 4.4, we extend the “Sneak-Out Principle” due to Bennett to time scales.

Keywords: Time Scale Version; Littlewood Type; Inequality Dynamics; Distinct Inequalities; Inequality Comparisons (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-44299-0_4

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