Approximation of ( ψ, β )-differentiable functions defined on the real axis by Weierstrass operators

• Datum: 2007
• Hauptverfasser: Kalchuk, I. V., Кальчук, І. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3382
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Asymptotic equalities are obtained for upper bounds of approximations by the Weierstrass operators on the functional classes $\widehat{C}^{\psi}_{\beta, \infty}$ and $\widehat{L}^{\psi}_{\beta, 1}$ in metrics of the spaces $\widehat{C}$ and $\widehat{L}_1$, respectively.