Sard kernel theorems and interpolation remainder theory on perpendicular parallelepipeds
type: Item
instance of: scholarly article
title: Sard kernel theorems and interpolation remainder theory on perpendicular parallelepipeds
zbMATH Open document ID: 0567.41026
author: Adam Łabȩdzki
author: Wojciech Wajda
published in: Functiones et Approximatio. Commentarii Mathematici
publication date: 1982-01-01T00:00:00Z
review text: The authors generalize the Sard type Taylor expansion to functions of three variables on perpendicular parallelepipeds. In its definition positive and negative orientation is to be distinguished. With rather complicated notation, which is hardly avoidable, sufficient conditions for the existence of Sard type Taylor expansion are formulated. Kernel theorems are proved and error bounds for interpolation operators on perpendicular parallelepipeds are derived. The scarce comments and very complicated formulae make it difficult to follow the authors' basic idea without comparison with some results in the references.
Mathematics Subject Classification ID: 41A58
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 3905166
zbMATH Keywords: Sard type Taylor expansion
reviewed by: Jiří Gregor
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3905166