Extensions of Dynamic Inequalities of Hardy's Type on Time Scales

S. H. Saker; Donal O'Regan

doi:10.1515/ms-2015-0068

Extensions of Dynamic Inequalities of Hardy's Type on Time Scales

S. H. Saker
, Donal O'Regan

Mathematics

Faculty of Science

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

11 Citations (Scopus)

Abstract

In this paper using some algebraic inequalities, Hölder inequality and a simple consequence of Keller's chain rule we prove some new inequalities of Hardy type on a time scale . These inequalities as special cases contain some integral and discrete inequalities when = ℝ and = ℕ.

Original language	English
Pages (from-to)	993-1012
Number of pages	20
Journal	Mathematica Slovaca
Volume	65
Issue number	5
DOIs	https://doi.org/10.1515/ms-2015-0068
Publication status	Published - 1 Oct 2015

Keywords

Hardy's inequality
time scales

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Saker, SH,O'Regan, D

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10.1515/ms-2015-0068

Cite this

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N2 - In this paper using some algebraic inequalities, Hölder inequality and a simple consequence of Keller's chain rule we prove some new inequalities of Hardy type on a time scale . These inequalities as special cases contain some integral and discrete inequalities when = ℝ and = ℕ.

AB - In this paper using some algebraic inequalities, Hölder inequality and a simple consequence of Keller's chain rule we prove some new inequalities of Hardy type on a time scale . These inequalities as special cases contain some integral and discrete inequalities when = ℝ and = ℕ.

KW - Hardy's inequality

KW - time scales

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DO - 10.1515/ms-2015-0068

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JO - Mathematica Slovaca

JF - Mathematica Slovaca

IS - 5

ER -

Extensions of Dynamic Inequalities of Hardy's Type on Time Scales

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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