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Turán's Inequalities


For a set of positive gamma_k, k=0, 1, 2..., Turán's inequalities are given by

 gamma_k^2-gamma_(k-1)gamma_(k+1)>=0

for k=1, 2, ....


See also

Jensen Polynomial

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References

Csordas, G.; Varga, R. S.; and Vincze, I. "Jensen Polynomials with Applications to the Riemann zeta-Function." J. Math. Anal. Appl. 153, 112-135, 1990.Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., p. 388, 1975.

Referenced on Wolfram|Alpha

Turán's Inequalities

Cite this as:

Weisstein, Eric W. "Turán's Inequalities." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TuransInequalities.html

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