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.
Szwarc,Positivity of Turán determinants for orthogonal polynomials, Harmonic analysis and hyper- groups (Delhi, 1995), Trends Math., Birkhäuser Boston, Boston, MA, 1998, pp
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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.