Real Analysis Exchange

Best $L^p$-Approximant Pair on Small Intervals

Fabián E. Levis and Claudia N. Rodriguez

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Abstract

In this paper, we study the behavior of best $L^p$-approximations by algebraic polynomial pairs on unions of intervals when the measure of those intervals tends to zero.

Article information

Source
Real Anal. Exchange, Volume 40, Number 2 (2015), 383-396.

Dates
First available in Project Euclid: 4 April 2017

Permanent link to this document
https://projecteuclid.org/euclid.rae/1491271223

Mathematical Reviews number (MathSciNet)
MR3499771

Zentralblatt MATH identifier
06848842

Subjects
Primary: 41A20: Approximation by rational functions 41A21: Padé approximation
Secondary: 32A10: Holomorphic functions

Keywords
Best approximation Algebraic polynomial Pade approximant pair $L^p$-norm

Citation

Levis, Fabián E.; Rodriguez, Claudia N. Best $L^p$-Approximant Pair on Small Intervals. Real Anal. Exchange 40 (2015), no. 2, 383--396. https://projecteuclid.org/euclid.rae/1491271223


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