On the best polynomial approximation of entire transcendental functions of generalized order

• Дата: 2008
• Автори: Vakarchuk, S. B., Zhir, S. I., Вакарчук, С. Б., Жир, С. И.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2008
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3219
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove a Hadamard-type theorem which connects the generalized order of growth $\rho^*_f(\alpha, \beta)$ of entire transcendental function $f$ with coefficients of its expansion into the Faber series. The theorem is an original extension of a certain result by S. K. Balashov to the case of finite...