Weighted \(L_p\) Markov factors with doubling weights on the ball
DOI10.1016/j.jat.2023.105939zbMath1530.41010arXiv2201.06711MaRDI QIDQ6093303
Jiansong Li, Kai Wang, He Ping Wang
Publication date: 6 September 2023
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.06711
balldoubling weightsrandom polynomialsGegenbauer weightsaverage case Markov factorsworst case Markov factors
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for trigonometric functions and polynomials (26D05) Trigonometric polynomials, inequalities, extremal problems (42A05) Best constants in approximation theory (41A44)
Cites Work
- Unnamed Item
- Unnamed Item
- Best approximation of functions on the ball on the weighted Sobolev space equipped with a Gaussian measure
- Multivariate Bernstein and Markov inequalities
- On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies
- On Markov's and Bernstein's inequalities in the unit ball in \(\mathbf R^ k\)
- Markov factors on average -- an \(L_2\) case
- A Markov inequality in several dimensions
- The theory of multi-dimensional polynomial approximation
- Weighted polynomial inequalities with doubling and \(A_\infty\) weights
- Markov-Bernstein type inequalities for multivariate polynomials on sets with cusps
- Average case weighted \(L_2\) Markov factors with doubling weights
- Approximation and localized polynomial frame on conic domains
- On Bernstein-Markov-type inequalities for multivariate polynomials in \(L_q\)-norm
- Localized polynomial frames on the ball
- Multivariate polynomial inequalities with respect to doubling weights and \(A_{\infty}\) weights
- Polynomial inequalities and Markov's inequality in weightedL p -spaces
- Bounds on the derivatives of polynomials on Banach spaces
- Summability of Fourier orthogonal series for Jacobi weight on a ball in ℝ^{𝕕}
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- 𝐿^{𝑝}-Bernstein inequalities on 𝐶²-domains and applications to discretization
- Bernstein type inequalities on star-like domains in $${\mathbb{R }}^d$$ with application to norming sets
This page was built for publication: Weighted \(L_p\) Markov factors with doubling weights on the ball
