Abstract
(Communicated by I. Rasa) Abstract. Firstly, we introduce a new type of weight functions named as N-doubling weights, which is an essential generalization of the well known doubling weights. Secondly, we establish a weighted Turan type inequality with N-doubling weights and a Nikolskii-Turan type inequality for rational functions with prescribed poles. Our results generalize some known Turan type inequality both for polynomials and rational functions.
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