Dynamic inequalities of Hardy and Copson type on time scales

Samir H. Saker; Donal O'Regan; Ravi P. Agarwal

doi:10.1515/anly-2012-1234

Dynamic inequalities of Hardy and Copson type on time scales

Samir H. Saker
, Donal O'Regan
, Ravi P. Agarwal

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

35 Citations (Scopus)

Abstract

In this paper, we will prove some new dynamic inequalities on time scales. These inequalities as special cases contain some integral and discrete inequalities due to Hardy and Copson. The main results will be proved by using the Hölder inequality and a simple consequence of Keller's chain rule on time scales.

Original language	English
Pages (from-to)	391-402
Number of pages	12
Journal	Analysis (Germany)
Volume	34
Issue number	4
DOIs	https://doi.org/10.1515/anly-2012-1234
Publication status	Published - 1 Nov 2014

Keywords

Copson inequality
Hardy inequality
Time scales

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10.1515/anly-2012-1234

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title = "Dynamic inequalities of Hardy and Copson type on time scales",

abstract = "In this paper, we will prove some new dynamic inequalities on time scales. These inequalities as special cases contain some integral and discrete inequalities due to Hardy and Copson. The main results will be proved by using the H{\"o}lder inequality and a simple consequence of Keller's chain rule on time scales.",

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AU - Saker, Samir H.

AU - O'Regan, Donal

AU - Agarwal, Ravi P.

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N2 - In this paper, we will prove some new dynamic inequalities on time scales. These inequalities as special cases contain some integral and discrete inequalities due to Hardy and Copson. The main results will be proved by using the Hölder inequality and a simple consequence of Keller's chain rule on time scales.

AB - In this paper, we will prove some new dynamic inequalities on time scales. These inequalities as special cases contain some integral and discrete inequalities due to Hardy and Copson. The main results will be proved by using the Hölder inequality and a simple consequence of Keller's chain rule on time scales.

KW - Copson inequality

KW - Hardy inequality

KW - Time scales

UR - https://www.scopus.com/pages/publications/84921346430

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DO - 10.1515/anly-2012-1234

M3 - Article

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VL - 34

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EP - 402

JO - Analysis (Germany)

JF - Analysis (Germany)

IS - 4

ER -

Dynamic inequalities of Hardy and Copson type on time scales

Abstract

Keywords

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