Second degree Schoenberg operators with knots at the roots of Chebyshev polynomials
In this paper, it is shown that Schoenberg spline operators of degree two with the knots at the roots of Chebyshev polynomials have the degree of pointwise approximation of order O ( ω 1 ( ψ , t ( 1 - t ) n ) ) , ψ ∈ C [ 0 , 1 ] , which improves the order of pointwise approximation obtained by Schoe...
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| Veröffentlicht in: | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2019-07, Vol.113 (3), p.2793-2804 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, it is shown that Schoenberg spline operators of degree two with the knots at the roots of Chebyshev polynomials have the degree of pointwise approximation of order
O
(
ω
1
(
ψ
,
t
(
1
-
t
)
n
)
)
,
ψ
∈
C
[
0
,
1
]
, which improves the order of pointwise approximation obtained by Schoenberg operators with equidistant knots. |
|---|---|
| ISSN: | 1578-7303 1579-1505 |
| DOI: | 10.1007/s13398-019-00644-1 |