On moduli of smoothness with Jacobi weights

• Datum: 2018
• Hauptverfasser: Kopotun, K. A., Leviatan, D., Shevchuk, I. A., Копотун, К. А., Левіатан, Д., Шевчук, І. О.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1563
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We introduce the moduli of smoothness with Jacobi weights $(1 x)\alpha (1+x)\beta$ for functions in the Jacobi weighted spaces $L_p[ 1, 1],\; 0 < p \leq \infty $. These moduli are used to characterize the smoothness of (the derivatives of) functions in the weighted spaces $L_p$. If $1 \leq...