Geodesic
Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space
Filomat, Tome 37 (2023) no. 17, p. 5701

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DOI

In this paper, we study Bernstein, Markov and Nikol'skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour.
DOI : 10.2298/FIL2317701O
Classification : 30A10, 30C10, 41A17
Keywords: Bernstein inequality, Nikolskii inequality, Markov inequality, Algebraic polynomials, Conformal mapping, Quasicircle 
P Özkartepe; M Imashkyzy; F G Abdullayev. Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space. Filomat, Tome 37 (2023) no. 17, p. 5701 . doi: 10.2298/FIL2317701O
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     author = {P \"Ozkartepe and M Imashkyzy and F G Abdullayev},
     title = {Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted {Lebesgue} space},
     journal = {Filomat},
     pages = {5701 },
     year = {2023},
     volume = {37},
     number = {17},
     doi = {10.2298/FIL2317701O},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317701O/}
}
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