Two general criteria for Turán's inequality are derived from three-term recurrences and applied to generalized Chebyshev polynomials to yield a companion result to Gasper's theorem plus nonnegative representations.
Van Assche,Asymptotics for orthogonal polynomials and three-term recurrences, Orthogonal poly- nomials (Columbus, OH, 1989), NATO Adv
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On Tur\'{a}n's inequality: new general criteria, nonnegative representations and the class of generalized Chebyshev polynomials
Two general criteria for Turán's inequality are derived from three-term recurrences and applied to generalized Chebyshev polynomials to yield a companion result to Gasper's theorem plus nonnegative representations.