Lp extremal polynomials. Results and perspectives

Laskri, Yamina, and Benzine, Rachid. "Lp extremal polynomials. Results and perspectives." Serdica Mathematical Journal 32.2-3 (2006): 99-130. <http://eudml.org/doc/281404>.

@article{Laskri2006,
abstract = {2000 Mathematics Subject Classification: 30C40, 30D50, 30E10, 30E15, 42C05.Let α = β+γ be a positive finite measure defined on the Borel sets of C, with compact support, where β is a measure concentrated on a closed Jordan curve or on an arc (a circle or a segment) and γ is a discrete measure concentrated on an infinite number of points. In this survey paper, we present a synthesis on the asymptotic behaviour of orthogonal polynomials or Lp extremal polynomials associated to the measure α. We analyze some open problems and discuss new ideas related to their solving.},
author = {Laskri, Yamina, Benzine, Rachid},
journal = {Serdica Mathematical Journal},
keywords = {Asymptotic Behaviour; Orthogonal Polynomials; Lp Extremal Polynomials; Curve; Arc; Circle; Segment; Asymptotic behaviour; orthogonal polynomials; extremal polynomials},
language = {eng},
number = {2-3},
pages = {99-130},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Lp extremal polynomials. Results and perspectives},
url = {http://eudml.org/doc/281404},
volume = {32},
year = {2006},
}

TY - JOUR
AU - Laskri, Yamina
AU - Benzine, Rachid
TI - Lp extremal polynomials. Results and perspectives
JO - Serdica Mathematical Journal
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 32
IS - 2-3
SP - 99
EP - 130
AB - 2000 Mathematics Subject Classification: 30C40, 30D50, 30E10, 30E15, 42C05.Let α = β+γ be a positive finite measure defined on the Borel sets of C, with compact support, where β is a measure concentrated on a closed Jordan curve or on an arc (a circle or a segment) and γ is a discrete measure concentrated on an infinite number of points. In this survey paper, we present a synthesis on the asymptotic behaviour of orthogonal polynomials or Lp extremal polynomials associated to the measure α. We analyze some open problems and discuss new ideas related to their solving.
LA - eng
KW - Asymptotic Behaviour; Orthogonal Polynomials; Lp Extremal Polynomials; Curve; Arc; Circle; Segment; Asymptotic behaviour; orthogonal polynomials; extremal polynomials
UR - http://eudml.org/doc/281404
ER -