Abstract
It is well-known that the approximation to f(x) ∈ C2π, by nth trigonometric Lagrange interpolating polynomials with equally spaced nodes in C2π, has an upper bound In(n)En(f), where En(f) is the nth best approximation of f(x). For various natural reasons, one can ask what might happen in Lp space? The present paper indicates that the result about the trigonometric Lagrange interoplating approximation in Lp space for 1 < p < ∞ may be “bad” to an arbitrary degree.
Publisher
Cambridge University Press (CUP)
Reference2 articles.
1. Asymptotic expansion of the Lebesque constants associated with trigonometric interpolation corresponding to the equidistant nodal points;Feng;Math. Numer. Sinica,1985
Cited by
2 articles.
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