$K$-functionals and extreme problems of the theory of approximation of the classes of analytic functions in a circle. II

• Datum: 2022
• Hauptverfasser: Vakarchuk, S. B., Vakarchuk, M. B., Вакарчук, С. Б., Вакарчук, М. Б.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2022
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/6981
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 The exact values of the Kolmogorov, Bernstein, and trigonometric $n$-widths of the classes defined by using the Hadamard compositions, generalized $K$-functionals, and majorants are obtained in the Hardy, Bergman, and Gvaradze Banach spaces. The exact values of the upper boundaries of the...