Multivariate approximation theorems in weighted Lorentz spaces

DOI10.1007/s00009-014-0446-6zbMath1321.41014OpenAlexW2126586719MaRDI QIDQ493317

Ali Guven, Hasan Yurt

Publication date: 3 September 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0446-6

zbMATH Keywords

multivariate approximationmultivariate rearrangement\(\mathcal{A}_p\)-weightweighted Lorentz space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25)

Cites Work

• Mixed norm and multidimensional Lorentz spaces
• On the approximation by trigonometric polynomials in weighted Lorentz spaces
• Improved inverse theorems in weighted Lebesgue and Smirnov spaces
• Approximations in several variables with freud-type and Ap-weights
• Simultaneous and converse approximation theorems in weighted Lebesgue spaces
• Polynomial Approximation and $\omega^r_\phi (f,t)$ Twenty Years Later
• Multivariate Rearrangements and Banach Function Spaces with Mixed Norms
• Mixed Moduli of Smoothness in $L_p$, $1<p<\infty$
• Weighted Norm Inequalities for the Hardy Maximal Function
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