Nikol'skii inequalities for Lorentz spaces
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Publication:968581
DOI10.1216/RMJ-2010-40-1-209zbMath1190.41005MaRDI QIDQ968581
Publication date: 5 May 2010
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
trigonometric polynomialsLorentz spacesBernstein type inequalityNikol'skii inequalityRemez type inequality
Related Items (23)
On sharp constants in Bernstein-Nikolskii inequalities ⋮ Bernstein-Walsh-type inequalities for derivatives of algebraic polynomials on the regions of complex plane ⋮ Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks ⋮ New moduli of smoothness on the unit ball, applications and computability ⋮ Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems ⋮ A sharp Remez inequality for trigonometric polynomials ⋮ Sharp constants of approximation theory. V. An asymptotic equality related to polynomials with given Newton polyhedra ⋮ Sharp embeddings of Besov spaces with logarithmic smoothness in sub-critical cases ⋮ A note on sharp multivariate Bernstein- and Markov-type inequalities ⋮ Remez-type and Nikol'skii-type inequalities: general relations and the hyperbolic cross polynomials ⋮ Quadrature formulas with variable nodes and Jackson-Nikolskii inequalities for rational functions ⋮ Sharp constants of approximation theory. IV: Asymptotic relations in general settings ⋮ Ulyanov-type inequalities between Lorentz-Zygmund spaces ⋮ On Nikol'skii inequalities for domains in \({\mathbb {R}}^d\) ⋮ Sharp constants of approximation theory. II. Invariance theorems and certain multivariate inequalities of different metrics ⋮ Nikol'skii inequalities for Lorentz-Zygmund spaces ⋮ Weak type inequalities for moduli of smoothness: The case of limit value parameters ⋮ Sharp constants of approximation theory. I. Multivariate Bernstein-Nikolskii type inequalities ⋮ Sharp constants of approximation theory. III. Certain polynomial inequalities of different metrics on convex sets ⋮ Nikol'skii-type inequalities for trigonometric polynomials for Lorentz-Zygmund spaces ⋮ Bernstein-Nikol'skii-type inequalities for algebraic polynomials from the Bergman space in domains of the complex plane ⋮ Nikol'skii-type inequalities for entire functions of exponential type in Lorentz-Zygmund spaces ⋮ Sharp constants of approximation theory. VI: weighted polynomial inequalities of different metrics on the multidimensional cube and ball
Cites Work
- Combinations of multivariate averages
- Nikol'skij inequalities for trigonometric polynomials in Lorentz spaces
- An inequality of Landau type for functions of several variables
- Ul'yanov and Nikol'skii-type inequalities
- Multivariate polynomial inequalities with respect to doubling weights and \(A_{\infty}\) weights
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