The inequalities of Landau-Hadamard type for the measures of a polynomial and its derivatives (in Russian) |
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| Author |
jurish@te.net.ua
Odesa I. I. Mechnikov National University
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| Abstract |
The measure of the derivative of a polynomial is estimated
by the measures of the polynomial and
its second derivative. Two sharp estimates are
proved with different by the order constants
according to initial conditions.
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| Keywords |
measure of the derivative, polynomial, measures of the polynomial, second derivative
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| DOI |
doi:10.30970/ms.20.1.92-96
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Reference |
1. Габушин В. Н. Неравенства между производными в метриках $L_p$ при $0
2. Mahler K. On the zeros of the derivative of a polynomial // Proc. Roy. Soc. (London) – 1961. – V. 264, № 1317 – P.145–154. 3. Арестов В. В. Интегральные неравенства для алгебраических многочленов на единичной окружности // Матем. заметки. – 1990. – Т. 48, № 4. – С.7–18. 4. Стороженко Э. А. К проблеме Малера о нулях полиномов и их производных // Матем. сборник. – 1996. – Т. 178, № 5. – С.111-120. |
| Pages |
92-96
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| Volume |
20
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| Issue |
1
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| Year |
2003
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| Journal |
Matematychni Studii
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| Full text of paper | |
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