zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Optimal order of convergence of Hermite-Fejér interpolation for general systems of nodes. (English) Zbl 0810.41004
The author studies the optimal order of convergence of Hermite-Fejér interpolation for general systems of nodes. The first result in this direction is given by the author himself in 1973. Later, Xin-Long Zhou extended this result to the case when $X$ is the matrix of Jacobi nodes with non-positive parameters. Also, Shi worked on this order in 1991. This was the first step in proving that all Hermite-Fejér interpolations are saturated with at most of order $O(n\sp{-1})$. In this paper the author makes another step by extending and strengthening the result of Shi to all polynomials.

41A05Interpolation (approximations and expansions)