Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space

Meerim İmaş Kızı | Fahreddin ABDULLAYEV

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. Keyword: 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

Статья 2023 Fen Fakültesi Filomat37 ( 17 ) 51 Просмотры

Polynomial Inequalities in Regions with Corners in the Weighted Lebesgue Spaces

Fahreddin ABDULLAYEV

In this work, we investigate the order of the growth of the modulus of orthogonal polynomials over a contour and also arbitrary algebraic polynomials in regions with corners in a weighted Lebesgue space, where the singularities of contour and the weight functions satisfy some condition.

Статья 2017 Fen Fakültesi Filomat31 ( 18 ) 40 Просмотры

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Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space

Meerim İmaş Kızı | Fahreddin ABDULLAYEV

Polynomial Inequalities in Regions with Corners in the Weighted Lebesgue Spaces

Fahreddin ABDULLAYEV