On the approximation in the mean with the Chebyshev-Hermite weight by algebraic polynomials on the real axis

• Datum: 2013
• Hauptverfasser: Vakarchuk, S. B., Shvachko, A. V., Вакарчук, С. Б., Швачко, А. В.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Інститут математики НАН України 2013
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/137
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

Exact inequalities of Jackson type for the best polynomial approximation of functions in the space $L_{2,\rho}(\mathbb{R})$ with the Chebyshev -Hermite weight function have been obtained for the $m^{th}$ order generalized moduluses of continuity $\widetilde{\omega}_m, m \in...