On the Opial-Olech-Beesack inequalities

We investigate two integral inequalities. The first of these generalizes a result proved by Beesack cite{beesack} in 1962. We then use our inequality to generalize earlier results of Olech cite{olech} and Opial cite{opial} on a related problem.

Bibliographic Details
Main Author: William C. Troy
Format: Article
Language:English
Published: Texas State University 2001-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/06/t1/abstr.html
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spelling doaj-c5060b172fc241559302bb65ddd810d82020-11-24T22:41:35ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912001-01-01Conference06297301On the Opial-Olech-Beesack inequalitiesWilliam C. TroyWe investigate two integral inequalities. The first of these generalizes a result proved by Beesack cite{beesack} in 1962. We then use our inequality to generalize earlier results of Olech cite{olech} and Opial cite{opial} on a related problem. http://ejde.math.txstate.edu/conf-proc/06/t1/abstr.htmlSchwarz inequalityintegral inequalities.
collection DOAJ
language English
format Article
sources DOAJ
author William C. Troy
spellingShingle William C. Troy
On the Opial-Olech-Beesack inequalities
Electronic Journal of Differential Equations
Schwarz inequality
integral inequalities.
author_facet William C. Troy
author_sort William C. Troy
title On the Opial-Olech-Beesack inequalities
title_short On the Opial-Olech-Beesack inequalities
title_full On the Opial-Olech-Beesack inequalities
title_fullStr On the Opial-Olech-Beesack inequalities
title_full_unstemmed On the Opial-Olech-Beesack inequalities
title_sort on the opial-olech-beesack inequalities
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2001-01-01
description We investigate two integral inequalities. The first of these generalizes a result proved by Beesack cite{beesack} in 1962. We then use our inequality to generalize earlier results of Olech cite{olech} and Opial cite{opial} on a related problem.
topic Schwarz inequality
integral inequalities.
url http://ejde.math.txstate.edu/conf-proc/06/t1/abstr.html
work_keys_str_mv AT williamctroy ontheopialolechbeesackinequalities
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