Convergence of a class of quartic interpolatory splines
type: Item
instance of: scholarly article
title: Convergence of a class of quartic interpolatory splines
zbMATH Open document ID: 0876.41001
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1997-12-02T00:00:00Z
review text: The existence and uniqueness of interpolatory quartic splines is investigated. The interpolatory function \(f\) is a 1-periodic locally integrable function defined on \([0,1]\). The unique existence of a 1-periodic quartic spline belonging to the class \(C^3[0,1]\) is proved which is a piecewise polynomial function of order 5 under the condition that the mean integral values of this spline and of the interpolatory function coincide in each subinterval of uniformly divided segment \([0,1]\). Using Meir and Sharma's method, the author obtains the estimates of norms with the help of the module of continuity of \(f'''\). We think that the author ought to explain the definitions of \(|\cdot|\) and \(w\) in the given context.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 1013753
zbMATH Keywords: convergence
zbMATH Keywords: quartic splines
author: Manjulata Shrivastava
reviewed by: M.-B. A. Babaev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1013753