Geodesic
Lp extremal polynomials (0 p ∞) in the presence of a denumerable set of mass points
Filomat, Tome 37 (2023) no. 4, p. 1045

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DOI

We study, for all p > 0 the asymptotic behavior of Lp extremal polynomials with respect to the measure α = β + γ, α denotes a positive measure whose support is the unit circle Γ plus a denumerable set of mass points, which accumulate at Γ and satisfy Blaschke’s condition and β = βa + βs, βs the absolutely continuous part of the measure satisfies Szegő condition and βs the singular part. Our main result is the explicit strong asymptotic formulas for the Lp extremal polynomials.
DOI : 10.2298/FIL2304045A
Classification : 30C40, 30D45, 42C05
Keywords: Asymptotic behavior, Lp extremal polynomials, circle 
Ahmed Abbassi; Mohamed Belhout. Lp extremal polynomials (0 < p < ∞) in the presence of a denumerable set of mass points. Filomat, Tome 37 (2023) no. 4, p. 1045 . doi: 10.2298/FIL2304045A
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     title = {Lp extremal polynomials (0 < p < \ensuremath{\infty}) in the presence of a denumerable set of mass points},
     journal = {Filomat},
     pages = {1045 },
     year = {2023},
     volume = {37},
     number = {4},
     doi = {10.2298/FIL2304045A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2304045A/}
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