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Weighted Hardy Type Inequalities

In: Hardy Type Inequalities on Time Scales

Author

Listed:
  • 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)

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.

Suggested Citation

  • Ravi P. Agarwal & Donal O’Regan & Samir H. Saker, 2016. "Weighted Hardy Type Inequalities," Springer Books, in: Hardy Type Inequalities on Time Scales, chapter 0, pages 121-151, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-44299-0_5
    DOI: 10.1007/978-3-319-44299-0_5
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