An integral representation of the remainder in an approximation formula by a bivariate operator of Cheney-Sharma (Q2751659)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: An integral representation of the remainder in an approximation formula by a bivariate operator of Cheney-Sharma |
scientific article; zbMATH DE number 1665008
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An integral representation of the remainder in an approximation formula by a bivariate operator of Cheney-Sharma |
scientific article; zbMATH DE number 1665008 |
Statements
18 September 2002
0 references
Bernstein-type operator
0 references
remainder term
0 references
integral representation
0 references
Peano-Milne type formula
0 references
An integral representation of the remainder in an approximation formula by a bivariate operator of Cheney-Sharma (English)
0 references
In this note, a bivariate extension of an operator of Bernstein-type introduced by Cheney and Sharma in [\textit{E. W. Cheney} and \textit{A. Sharma}, Riv. Mat. Univ. Parma 5, 77-84 (1964; Zbl 0146.03202)] is considercd and an integral representation of the remainder term in the approximation formula by means of this operator given. In this respect, a formula of Peano-Milne type obtained by D. D. Stancu in [\textit{D. D. Stancu}, J. SIAM Numer. Anal. Ser. B 1, 137-162 (1964; Zbl 0143.07901)] is used.NEWLINENEWLINEFor the entire collection see [Zbl 0968.00041].
0 references
