Title

On a Subclass of C1 Functions for Which the Lagrange Interpolation Yields the Jackson Order of Approximation

Keywords

Interpolation; Order of approximation

Abstract

We continue the investigation initiated by Mastroianni and Szabados on question whether Jackson’s order of approximation can be attained by Lagrange interpolation for a wide class of functions. Improving a recent result of Mastroianni and Szabados, we show that for a subclass of C1 functions the local order of approximation given by Lagrange interpolation can be much better (of at least O(1/n)) than Jackson’s order. © 1994, Hindawi Publishing Corporation. All rights reserved.

Publication Date

1-1-1994

Publication Title

International Journal of Mathematics and Mathematical Sciences

Volume

17

Issue

2

Number of Pages

209-216

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1155/S0161171294000323

Socpus ID

84958301489 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84958301489

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