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On derivatives of conjugate trigonometric polynomials in L0 (in Russian) |
| Author |
A. N. Adamov
alex.1985@mail.ru
Одесский национальный университет ім. И.И. Мечникова
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| Abstract |
We consider Szego type inequality, where the norm of the derivatives of the conjugate
trigonometric polynomials is measured by the norm of the polynomial itself in L0 space. We
improve the estimate of the constant in it, which was got by V. V. Arestov before. |
| Keywords |
derivatives of the polynomials; conjugate trigonometric polynomial; L_0 space; Szego inequality |
| Reference |
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V.264, №1317. - P. 145–154.
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Russian)
4. Arestov V.V. The Szeg.o inequality for derivatives of a conjugate trigonometric polynomial in L0// Mat.
Notes. – 1994. – V.56, №6. – P. 10–26. (in Russian)
5. Adamov A.N. About conjugate trigonometric polynomials in L0// Donetsk national university journal,
ser. A: nat. sciences. – 2011. – V.2. (in Russian)
6. Szeg.o G. Uber einen Satz des Hern Serge Bernstein// Schrift. K.onigsberg. Gelehrten Gesellschaft. – 1928.
– V.5, №4. – P. 59–70.
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8. Dzyadyk V.K. Introduction to the theory uniform approximation of functions by polynomials. – M.:Nauka,
1977. – 512 p. (in Russian)
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| Pages |
147-154 |
| Volume |
37 |
| Issue |
2 |
| Year |
2012 |
| Journal |
Matematychni Studii |
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