Approximation of solutions of operator-differential equations by operator polynomials

• Datum: 1998
• Hauptverfasser: Kashpirovskii, A. I., Mytnik, Yu. V., Кашпіровський, О. І., Митник, Ю. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4802
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove theorems that characterize the classes of functions whose best approximations by algebraic polynomials tend to zero with given order. We construct approximations of solutions of operator-differential equations by polynomials in the inverse operator.