НЕРАВЕНСТВО БЕРНШТЕЙНА ДЛЯ ПРОИЗВОДНЫХ ВЕЙЛЯ ТРИГОНОМЕТРИЧЕСКИХ ПОЛИНОМОВ В ПРОСТРАНСТВЕ Lo

科研成果: Article同行评审

摘要

A logarithmic asymptotics for the behavior with respect to of the exact constant in Bernstein's inequality for the Weyl derivative of positive noninteger order of trigonometric polynomials of order in the space is obtained. It turns out that the order in of the behavior of this constant for positive noninteger orders of the derivatives has exponential growth in contrast to the power growth in the well-studied case of classical derivatives of positive integer order.
投稿的翻译标题Bernstein's Inequality for the Weyl Derivatives of Trigonometric Polynomials in the Space Lo
源语言Russian
页(从-至)255-264
页数10
期刊Математические заметки
104
2
DOI
Published - 2018

GRNTI

  • 27.00.00 MATHEMATICS

Level of Research Output

  • VAK List

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