Document Zbl 1131.33302

from until

One-Line Search

add line

Document Type:

Journal Articles

Collection Articles

Books

arXiv Preprints

Document Type:

Journal Articles

Collection Articles

Books

arXiv Preprints

Reset all

New Multi-Line Search

Help

Examples

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.

Fields

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)

Operators

a & b	logic and
a \| b	logic or
!ab	logic not
abc*	right wildcard
"ab c"	phrase
(ab c)	parentheses

On a method of approximation by Jacobi polynomials. (English) Zbl 1131.33302

Bull. Belg. Math. Soc. - Simon Stevin 12, No. 4, 557-564 (2005).

Summary: Convolution structure for Jacobi series allows end point summability of Fourier-Jacobi expansions to lead to an approximation of a function by a linear combination of Jacobi polynomials. Thus, using Cesáro summability of some orders \(>1\) at \(x=1\), we prove a result of approximation of functions on \([-1,1]\) by operators involving Jacobi polynomials. Precisely, we pick up functions from a Lebesgue integrable space and then study their representation by Jacobi polynomials under different conditions.

MSC:

33C45

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)

Cite Review PDF