scholarly journals On the Lebesgue constant of Berrut’s rational interpolant at equidistant nodes

2011 ◽  
Vol 236 (4) ◽  
pp. 504-510 ◽  
Author(s):  
Len Bos ◽  
Stefano De Marchi ◽  
Kai Hormann
Keyword(s):  
Lebesgue Constant ◽  
Equidistant Nodes

scholarly journals A tighter upper bound on the Lebesgue constant of Berrut’s rational interpolant at equidistant nodes

2016 ◽  
Vol 59 ◽  
pp. 71-78 ◽  
Author(s):  
Chongyang Deng ◽  
Shankui Zhang ◽  
Yajuan Li ◽  
Wenbiao Jin ◽  
Yi Zhao
Keyword(s):  
Upper Bound ◽  
Lebesgue Constant ◽  
Equidistant Nodes

Lebesgue constant for Lagrange interpolation on equidistant nodes

2004 ◽  
Vol 20 (4) ◽  
pp. 323-331 ◽  
Author(s):  
A. Eisinberg ◽  
G. Fedele ◽  
G. Franzè
Keyword(s):  
Lagrange Interpolation ◽  
Lebesgue Constant ◽  
Equidistant Nodes

scholarly journals On the Lebesgue constant of barycentric rational interpolation at equidistant nodes

2011 ◽  
Vol 121 (3) ◽  
pp. 461-471 ◽  
Author(s):  
Len Bos ◽  
Stefano De Marchi ◽  
Kai Hormann ◽  
Georges Klein
Keyword(s):  
Lebesgue Constant ◽  
Rational Interpolation ◽  
Equidistant Nodes ◽  
Barycentric Rational Interpolation

scholarly journals On Lagrange interpolation with equally spaced nodes

2000 ◽  
Vol 62 (3) ◽  
pp. 357-368 ◽  
Author(s):  
Michael Revers
Keyword(s):  
Rate Of Convergence ◽  
Lagrange Interpolation ◽  
End Points ◽  
Quantitative Version ◽  
Equidistant Nodes ◽  
Lagrange Interpolation Polynomials ◽  
Interpolation Polynomials ◽  
Exact Rate Of Convergence

A well-known result due to S.N. Bernstein is that sequence of Lagrange interpolation polynomials for |x| at equally spaced nodes in [−1, 1] diverges everywhere, except at zero and the end-points. In this paper we present a quantitative version concerning the divergence behaviour of the Lagrange interpolants for |x|3 at equidistant nodes. Furthermore, we present the exact rate of convergence for the interpolatory parabolas at the point zero.

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