Sharp Jackson inequalities
From MaRDI portal
Publication:2481512
DOI10.1016/j.jat.2007.04.015zbMath1136.41003OpenAlexW1963647060MaRDI QIDQ2481512
Feng Dai, Z. Ditzian, Sergey Yu. Tikhonov
Publication date: 10 April 2008
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2007.04.015
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Approximation by polynomials (41A10)
Related Items (22)
Jackson's inequality in the complex plane and the Łojasiewicz-Siciak inequality of Green's function ⋮ Problems and conjectures in approximation that I would like settled ⋮ Positive \(L^p\)-bounded Dunkl-type generalized translation operator and its applications ⋮ New moduli of smoothness on the unit ball, applications and computability ⋮ Functions with general monotone Fourier coefficients ⋮ Quasi-projection operators in weighted \(L_p\) spaces ⋮ An improved Jackson inequality for the best trigonometric approximation ⋮ On the K-functional in learning theory ⋮ Convexity, moduli of smoothness and a Jackson-type inequality ⋮ Sharp approximation theorems and Fourier inequalities in the Dunkl setting ⋮ Rearrangement invariance and relations among measures of smoothness ⋮ Ulyanov-type inequalities between Lorentz-Zygmund spaces ⋮ Inequalities for moduli of smoothness versus embeddings of function spaces ⋮ Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates ⋮ A SURVEY OF POLYNOMIAL APPROXIMATION ON THE SPHERE ⋮ Smoothness of functions and Fourier coefficients ⋮ On moduli of smoothness of functions in Orlicz spaces ⋮ Unnamed Item ⋮ Smoothness of functions versus smoothness of approximation processes ⋮ Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\) ⋮ Realization and characterization of modulus of smoothness in weighted Lebesgue spaces ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
Cites Work
- Combinations of multivariate averages
- Cesàro summability and Marchaud inequality
- Sharp converse theorem of \(L^ p\)-polynomial approximation
- Fractional derivatives and best approximations
- Best approximation and \(K\)-functionals
- Jackson-type inequality on the sphere
- A note on equivalence of moduli of smoothness on the sphere
- Sharp Marchaud and converse inequalities in Orlicz spaces
- On the Marchaud-Type Inequality
- Mixed and Directional Derivatives
- Multivariate Landau–Kolmogorov-type inequality
- A modulus of smoothness on the unit sphere
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Sharp Jackson inequalities