Approximation of classes of periodical functions of many variables

• Datum: 1992
• Hauptverfasser: Romanyuk , A. S., Романюк , А. С.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1992
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/7963
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study classes of periodic functions of several variables with bounded generalized derivative in the metric of the space Lp. We obtain order estimates of deviations of Fourier sums, which are constructed depending on the behavior of functions that define the operator of generalized differentiation...