A note on Opial and Wirtinger type discrete inequalities
type: Item
instance of: scholarly article
title: A note on Opial and Wirtinger type discrete inequalities
zbMATH Open document ID: 0635.26008
DOI: 10.1016/0022-247X(87)90124-7
author: B. G. Pachpatte
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: The author gives three theorems in which discrete inequalities of Opial or Wirtinger are proved. The first one is: \[ \sum^{n-1}_{k=0}[u_ k\Delta v_ k+v_{k+1}\Delta u_ k]\leq \frac{n}{2}\sum^{n- 1}_{k=0}[(\Delta u_ k)^ 2+(\Delta v_ k)^ 2]. \] In the second theorem some special case of the inequality proved by \textit{J. S. W. Wong} [Can. Math. Bullunder the abbreviation ``Theoretical aspects of computer science, Proc. 5th Annu. Symp. STACS, Bordeaux/France 1988, Lect. Notes Comput. Sci. 294''.
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 4034045
zbMATH Keywords: discrete inequalities of Opial and Wirtinger type
MaRDI profile type: Publication
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full work available at URL: 0022-247x(87)90124-7
OpenAlex ID: W2084191046
description: scientific article; zbMATH DE number 4034045