Abstract
We determine the exact values of the upper bounds of n-term approximations of q-ellipsoids by Λ-methods in the spaces S qϕ in the metrics of the spaces S pϕ .
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
A. I. Stepanets, Approximation Characteristics of the Spaces S Pϕ [In Russian], Preprint No. 2002.2, Intitute of Mathematics, Ukrainian Academy of Sciences, kiev (2002)
A. I. Stepanets, “Approximation characteristics of the spaces S Pϕ in different metric,” Ukr. Mat. Zh., 55, No. 8, 1121–1147 (2001)
A. I. Stepanet, Approximation Characteristics of the Spaces S Pϕ [In Russian], Preprint No. 2201.2, Institute of Mathematics, Ukrainian Academy of Science, kiev (2001).
S. B. Stechkin, "On the absolute convergence of orthogonal series," Dokl. Akad. Nauk SSSR, 102, No. 1, 37-40 (1955).
G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities [Russian translation], Izd. Inostr. Lit., Moscow (1948).
Rights and permissions
About this article
Cite this article
Stepanets', O.I., Shydlich, A.L. Best n-Term Approximations by Λ-Methods in the Spaces S pϕ . Ukrainian Mathematical Journal 55, 1338–1362 (2003). https://doi.org/10.1023/B:UKMA.0000010763.01827.6f
Issue Date:
DOI: https://doi.org/10.1023/B:UKMA.0000010763.01827.6f