Inequalities for Entire Functions of Exponential Type
نویسنده
چکیده
This paper is concerned with a class of linear operators acting in the space of the trigonometric polynomials and preserving the inequalities of the form \S(8)\ < \T(8)\ in the half plane Im 8 > 0. Some inequalities for entire functions of exponential type and some theorems concerning the distribution of the zeros of the trigonometric polynomials, including an analogue to the Gauss-Lucas theorem, are derived.
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تاریخ انتشار 2010