Abstract
In this paper, we prove a Tur´an-type inequality for rational functions and thereby extend it to a more general class of rational functions r(s(z)) of degree mn with prescribed poles, where s(z) is a polynomial of degree m. These results not only generalize some Tur´antype inequalities for rational functions, but also improve as well as generalize some known polynomial inequalities.
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More From: Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
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