Hardy and Littlewood Inequalities on Time Scales

S. H. Saker; Donal O’Regan

doi:10.1007/s40840-015-0300-4

Hardy and Littlewood Inequalities 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

31 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	527-543
Number of pages	17
Journal	Bulletin of the Malaysian Mathematical Sciences Society
Volume	39
Issue number	2
DOIs	https://doi.org/10.1007/s40840-015-0300-4
Publication status	Published - 1 Apr 2016

Keywords

Hardy’s inequality
Time scales

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10.1007/s40840-015-0300-4

Cite this

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title = "Hardy and Littlewood Inequalities on Time Scales",

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

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AU - O’Regan, Donal

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

KW - Hardy’s inequality

KW - Time scales

UR - https://www.scopus.com/pages/publications/84960373341

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DO - 10.1007/s40840-015-0300-4

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JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

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ER -

Hardy and Littlewood Inequalities on Time Scales

Abstract

Keywords

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