Estimates of the derivative of a rational function

V. N. Rusak

Belarusian State University

Abstract: We investigate some regular rational functions on the real axis, with fixed poles, conjugate in pairs, of half-integer order. An extremal equality is obtained, which generalizes one of L. V. Taikov's results for trigonometric polynomials.

UDC: 517.5

 English version: Mathematical Notes, 1973, 13:4, 299–302

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