Dynamic Shum inequalities

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

doi:10.13025/25062

Dynamic Shum inequalities

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

Mathematics

Texas A&M University-Kingsville
Missouri University of Science and Technology
Faculty of Science

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

Abstract

Recently, various forms and improvements of Opial dynamic inequalities have been given in the literature. In this paper, we give refinements of Opial inequalities on time scales that reduce in the continuous case to classical inequalities named after Beesack and Shum. These refinements are new in the important discrete case.

Original language	English
Pages (from-to)	55-66
Number of pages	12
Journal	Turkish Journal of Mathematics
Volume	41
Issue number	1
DOIs	https://doi.org/10.13025/25062 https://doi.org/10.3906/mat-1511-42
Publication status	Published - 2017

Keywords

Beesack's inequality
Opial's inequality
Shum's inequality
Time scales

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10.13025/25062Licence: CC BY-NC-ND
10.3906/mat-1511-42

Cite this

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title = "Dynamic Shum inequalities",

abstract = "Recently, various forms and improvements of Opial dynamic inequalities have been given in the literature. In this paper, we give refinements of Opial inequalities on time scales that reduce in the continuous case to classical inequalities named after Beesack and Shum. These refinements are new in the important discrete case.",

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AU - Bohner, Martin

AU - O''Regan, Donal

AU - Saker, Samir

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PY - 2017

Y1 - 2017

N2 - Recently, various forms and improvements of Opial dynamic inequalities have been given in the literature. In this paper, we give refinements of Opial inequalities on time scales that reduce in the continuous case to classical inequalities named after Beesack and Shum. These refinements are new in the important discrete case.

AB - Recently, various forms and improvements of Opial dynamic inequalities have been given in the literature. In this paper, we give refinements of Opial inequalities on time scales that reduce in the continuous case to classical inequalities named after Beesack and Shum. These refinements are new in the important discrete case.

KW - Beesack's inequality

KW - Opial's inequality

KW - Shum's inequality

KW - Time scales

UR - http://hdl.handle.net/10379/10129

UR - https://www.scopus.com/pages/publications/85010509662

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VL - 41

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EP - 66

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

IS - 1

ER -

Dynamic Shum inequalities

Abstract

Keywords

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