Constructive Characteristic of ho¨ Lder Classes and M-Term Approximations in the Multiple Haar Basis

• Datum: 2014
• Hauptverfasser: Romanyuk, V. S., Романюк, В. С.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2014
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2137
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In terms of the best polynomial approximations in the multiple Haar basis, we obtain a constructive characteristic of the Hölder classes H p α of functions defined on the unit cube \( \mathbb{I} \) d of the space ℝ d under the restriction \( 0