Remarks on a certain discrete generalization of Opial's inequality involving higher order differences
type: Item
instance of: scholarly article
title: Remarks on a certain discrete generalization of Opial's inequality involving higher order differences
zbMATH Open document ID: 0855.26010
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-08-29T00:00:00Z
review text: In a paper published in J. Math. Anal. Appl. 167, No. 1, 98-110 (1992; Zbl 0821.26014), \textit{J.-D. Li} has given a certain discrete generalization of Opial's inequality involving functions and their higher-order differences. The result of Li grew out of an investigation of his similar result in the continuous case given in the same paper. In the present note, it is pointed out that the direct adaptation of the results from a continuous case to the discrete case is not always true and such an inequality given by Li reduces to the trivial one.
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 902582
zbMATH Keywords: discrete generalization of Opial's inequality
zbMATH Keywords: higher-order differences
author: B. G. Pachpatte
reviewed by: B. G. Pachpatte
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0183
OpenAlex ID: W1971971229
DOI: 10.1006/JMAA.1996.0183
description: scientific article; zbMATH DE number 902582