An Opial-type inequality involving higher-order derivatives of two functions
type: Item
instance of: scholarly article
title: An Opial-type inequality involving higher-order derivatives of two functions
zbMATH Open document ID: 0885.26011
DOI: 10.1016/S0893-9659(97)00071-2
published in: Applied Mathematics Letters
publication date: 1998-04-01T00:00:00Z
review text: In the present paper, the author has obtained an improved version of an Opial-type inequality involving higher-order derivatives of two functions given by \textit{R. P. Agarwal} and \textit{P. Y. H. Pang} [Math. Nachr. 174, 5-20 (1995; Zbl 0831.26007)]. Further, two inequalities which deal with the refinements of Opial-type inequalities given by \textit{R. P. Agarwal} and \textit{P. Y. H. Pang} [J. Math. Anal. Appl. 190, No. 2, 559-577 (1995; Zbl 0831.26008)] are also given.
Mathematics Subject Classification ID: 26D10
zbMATH DE Number: 1085398
zbMATH Keywords: Opial-type inequality
zbMATH Keywords: higher-order derivatives
author: Horst Alzer
reviewed by: B. G. Pachpatte
MaRDI profile type: Publication
cites work: Sur une inégalité
cites work: Opial-type inequalities involving higher order differences
cites work: A simple proof of a certain result of Z. Opial
cites work: Analytic Inequalities
cites work: Sharp Opial‐Type Inequalities Involving Higher Order Derivatives of Two Functions
cites work: Remarks on the generalizations of Opial's inequality
description: scientific article; zbMATH DE number 1085398