Multivariate Approximation Theorems in Weighted Lorentz Spaces

Yurt H., GÜVEN A.

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.12, no.3, pp.863-876, 2015 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 3
  • Publication Date: 2015
  • Doi Number: 10.1007/s00009-014-0446-6
  • Journal Name: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.863-876

Abstract

We consider trigonometric polynomial approximation problems in the multivariate weighted Lorentz spaces. In particular, we prove direct and converse theorems for trigonometric approximation in the multivariate weighted Lorentz spaces with -weights.