Inequalities for Polynomials With Weights Having Infinitely many Zeros on the Real Line
We prove infinite-finite range, as well as Bernstein—Markov type inequalities for generalized algebraic polynomials on the real line when the weight is the product of a Freud-type weight and of another function which has infinitely many roots on the real line. This kind of investigation is an analogue of the so-called genralized Jacobi weights on finite intervals.
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- G. Freud, Orthogonal Polynomials, Akadémiai Kiadó (Budapest, 1971 ).Google Scholar