Weighted Hardy 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 5 in Hardy Type Inequalities on Time Scales, 2016, pp 121-151 from Springer

Abstract: Abstract In this chapter, we prove some dynamic Hardy-type inequalities on time scales with two different weight functions. This chapter is divided into two sections. In Sect. 5.1, we prove some weight inequalities which as special cases contain the results due to Copson, Bliss, Flett and Bennett by a suitable choice of weight functions. In Sect. 5.2, we prove some dynamic inequalities on time scales which involve some discrete inequalities formulated by Copson, Leindler, Bennett, Chen and Yang.

Date: 2016
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DOI: 10.1007/978-3-319-44299-0_5

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