On the jackson theorem for periodic functions in spaces with integral metric

• Datum: 2000
• Hauptverfasser: Pichugov, S. A., Пичугов, С. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2000
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4402
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider the approximation of periodic functions by trigonometric polynomials in metric (not normed) spaces that are generalizations of the spaces L p , 0 < p < 1, and L 0. In particular, we prove the multidimensional Jackson theorem in L p (T m ), 0 < p < 1.