Almost convexity and quantitative Korovkin type results
type: Item
instance of: scholarly article
title: Almost convexity and quantitative Korovkin type results
zbMATH Open document ID: 0942.41013
DOI: 10.1016/S0893-9659(98)00065-2
published in: Applied Mathematics Letters
publication date: 2000-08-21T00:00:00Z
review text: \textit{O. Shisha} and \textit{B. Mond} [Proc. Natl. Acad. Sci. USA 60, 1196-1200 (1968; Zbl 0164.07102)] and \textit{H.-B. Knoop} and \textit{P. Pottinger} [Math. Z. 148, 23-32 (1976; Zbl 0322.41016)] investigated the approximation of the \(k\)-th derivative of a function by means of linear operators under various assumptions related to shape preserving properties. Their results are discussed in this paper and new estimates are given for operators which have more interesting shape preserving properties.
reviewed by: Ioan Raşa
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 1369532
zbMATH Keywords: Korovkin type
author: F. J. Muñoz-Delgado
author: Daniel Cárdenas Morales
MaRDI profile type: Publication
cites work: THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
cites work: Ein Satz vom Korovkin-Typ für \(C^k\)- Räume
cites work: Qualitative Korovkin-type results on conservative approximation
cites work: Q4714365
description: scientific article; zbMATH DE number 1369532