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Markov L2 inequality with the Gegenbauer weight

  • Published:2018-01 Issue: Volume:225 Page:224-241
  • ISSN:0021-9045
  • Container-title:Journal of Approximation Theory
  • language:en
  • Short-container-title:Journal of Approximation Theory

Author:

Aleksov Dragomir,Nikolov Geno

Funder

Bulgarian National Science Fund

Sofia University Research Fund

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference12 articles.

1. On the Markov inequality in the L2 norm with the Gegenbauer weight;Aleksov;J. Approx. Theory,2016

2. On the asymptotics of sharp constants in Markov-Bernstein inequalities in integral metrics with classical weights;Aptekarev;Russian Math. Surveys,2000

3. Asymptotics of sharp constants of Markov-Bernstein inequalities in integral norm with Jacobi weight;Aptekarev;Proc. Amer. Math. Soc.,2015

4. On the best constant in Markov-type inequalities involving Gegenbauer norms with different weights;Böttcher;Oper. Matrix,2010

5. Weighted Markov-type inequalities, norms of Volterra operators, and zeros of Bessel functions;Böttcher;Math. Nachr.,2010

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1. On the Extreme Zeros of Jacobi Polynomials;Numerical Methods and Applications;2023

2. Bibliography;Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomial;2022

3. Extremal problems of Markov–Bernstein type in integral norms;Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomial;2022

4. Markov-type inequalities and extreme zeros of orthogonal polynomials;Journal of Approximation Theory;2021-11

5. A discrete weighted Markov–Bernstein inequality for sequences and polynomials;Journal of Mathematical Analysis and Applications;2021-01
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