Approximation of infinitely differentiable periodic functions by interpolation trigonometric polynomials

• Datum: 2004
• Hauptverfasser: Serdyuk, A. S., Сердюк, А. С.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2004
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3771
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish asymptotically unimprovable interpolation analogs of Lebesgue-type inequalities on the classes of periodic infinitely differentiable functions C Ψ β C whose elements can be represented in the form of convolutions with fixed generating kernels. We obtain asymptotic equalities for upper...