Scientific publications

Ю.Г. Абакумов, В.Г. Банин.

Точки втягивания в конус и теоремы типа теоремы Вороновской

// Труды КарНЦ РАН. No 10. Сер. Математическое моделирование и информационные технологии. 2015. C. 8-14

Yu.G. Abakumov, V.G. Banin. Points of retraction into cone and Voronovskaya type theorems // Transactions of Karelian Research Centre of Russian Academy of Science. No 10. Mathematical Modeling and Information Technologies. 2015. Pp. 8-14

Keywords: linear operators; cone; approximation sequence

The general approach to Voronovskaya theorems about the rate of convergence of linear operators sequence to the functions of some classes is considered. These theorems are proved with the help of a functional which in many concrete situations may have a differential structure. The method of retraction points into some cone of Banach space is used to define this functional.

URL: http://journals.krc.karelia.ru/index.php/mathem/article/view/139

DOI: 10.17076/mat139

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Last modified: November 6, 2015