A General dynamic inequality of opial type

Ravi Agarwal; Martin Bohner; Donal O'Regan; Mahmoud Osman; Samir Saker

doi:10.18576/amis/100306

A General dynamic inequality of opial type

Ravi Agarwal
, Martin Bohner
, Donal O'Regan
, Mahmoud Osman
, Samir Saker

Mathematics

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

3 Citations (Scopus)

Abstract

We present a new general dynamic inequality of Opial type. This inequality is new even in both the continuous and discretecases. The inequality is proved by making use of a recently introduced new technique for Opial dynamic inequalities, the time scalesintegration by parts formula, the time scales chain rule, and classical as well as time scales versions of Hölder's inequality.

Original language	English
Pages (from-to)	875-879
Number of pages	5
Journal	Applied Mathematics and Information Sciences
Volume	10
Issue number	3
DOIs	https://doi.org/10.18576/amis/100306
Publication status	Published - 1 May 2016

Keywords

Hölder's inequality
Opial's inequality
Time scales

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10.18576/amis/100306

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title = "A General dynamic inequality of opial type",

abstract = "We present a new general dynamic inequality of Opial type. This inequality is new even in both the continuous and discretecases. The inequality is proved by making use of a recently introduced new technique for Opial dynamic inequalities, the time scalesintegration by parts formula, the time scales chain rule, and classical as well as time scales versions of H{\"o}lder's inequality.",

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AU - Agarwal, Ravi

AU - Bohner, Martin

AU - O'Regan, Donal

AU - Osman, Mahmoud

AU - Saker, Samir

PY - 2016/5/1

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N2 - We present a new general dynamic inequality of Opial type. This inequality is new even in both the continuous and discretecases. The inequality is proved by making use of a recently introduced new technique for Opial dynamic inequalities, the time scalesintegration by parts formula, the time scales chain rule, and classical as well as time scales versions of Hölder's inequality.

AB - We present a new general dynamic inequality of Opial type. This inequality is new even in both the continuous and discretecases. The inequality is proved by making use of a recently introduced new technique for Opial dynamic inequalities, the time scalesintegration by parts formula, the time scales chain rule, and classical as well as time scales versions of Hölder's inequality.

KW - Hölder's inequality

KW - Opial's inequality

KW - Time scales

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A General dynamic inequality of opial type

Abstract

Keywords

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