On Turan-type inequalities for trigonometric polynomials of half-integer order

Some exact inequalities of the Turan type are obtained in the paper for trigonometric polynomials $h(x)$ of half-interger order $n+\frac {1}{2}$, $n=1, 2, ...$, such that all $2n+1$ their zeros are real and located on a segment $[0;2\pi )$. Namely, the inequality that relates the norms in the space...

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التفاصيل البيبلوغرافية
المؤلف الرئيسي: O.V. Polyakov
التنسيق: مقال
اللغة:English
منشور في: Oles Honchar Dnipro National University 2020-01-01
سلاسل:Researches in Mathematics
الموضوعات:
الوصول للمادة أونلاين:https://vestnmath.dnu.dp.ua/index.php/rim/article/view/120