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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author William C. Troy
author_facet William C. Troy
author_sort William C. Troy
collection DOAJ
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.
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spelling doaj.art-c5060b172fc241559302bb65ddd810d82022-12-22T00:37:54ZengTexas 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.
spellingShingle William C. Troy
On the Opial-Olech-Beesack inequalities
Electronic Journal of Differential Equations
Schwarz inequality
integral inequalities.
title 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_short On the Opial-Olech-Beesack inequalities
title_sort on the opial olech beesack inequalities
topic Schwarz inequality
integral inequalities.
url http://ejde.math.txstate.edu/conf-proc/06/t1/abstr.html
work_keys_str_mv AT williamctroy ontheopialolechbeesackinequalities