Dynamic Shum Inequalities

Ravi P. Agarwal; Martin Bohner; Donal O'regan; Samir Saker

doi:10.3906/mat-1511-42

Dynamic Shum Inequalities

Ravi P. Agarwal
, Martin Bohner
, Donal O'regan
, Samir Saker

Mathematics and Statistics

Research output: Contribution to journal › 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	American English
Journal	Turkish Journal of Mathematics
Volume	41
DOIs	https://doi.org/10.3906/mat-1511-42
State	Published - Jan 1 2017

Keywords

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

Disciplines

Mathematics
Statistics and Probability

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10.3906/mat-1511-42License: Unspecified

https://doi.org/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.",

keywords = "Beesack's inequality, Opial's inequality, Shum's inequality, Time scales",

author = "Agarwal, \{Ravi P.\} and Martin Bohner and Donal O'regan and Samir Saker",

year = "2017",

month = jan,

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doi = "10.3906/mat-1511-42",

language = "American English",

volume = "41",

journal = "Turkish Journal of Mathematics",

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T1 - Dynamic Shum Inequalities

AU - Agarwal, Ravi P.

AU - Bohner, Martin

AU - O'regan, Donal

AU - Saker, Samir

PY - 2017/1/1

Y1 - 2017/1/1

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 - https://scholarsmine.mst.edu/math_stat_facwork/837

UR - https://doi.org/10.3906/mat-1511-42

U2 - 10.3906/mat-1511-42

DO - 10.3906/mat-1511-42

M3 - Article

VL - 41

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

ER -

Dynamic Shum Inequalities

Abstract

Keywords

Disciplines

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