Multivariate Approximation Theorems in Weighted Lorentz Spaces

Yurt H., GÜVEN A.

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.12, no.3, pp.863-876, 2015 (SCI-Expanded) 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 (SCI-EXPANDED), Scopus
  • Page Numbers: pp.863-876
  • Çanakkale Onsekiz Mart University Affiliated: Yes

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.