Jensen Polynomials and the Turan and Laguerre Inequalities
نویسندگان
چکیده
منابع مشابه
Discrete analogues of the Laguerre Inequality
It is shown that ∑m j=−m(−1) f(x−j)(f(x+j) (m−j)!(m+j)! ≥ 0, m = 0, 1, ..., where f(x) is either a real polynomial with only real zeros or an allied entire function of a special type, provided the distance between two consecutive zeros of f(x) is at least √ 4− 6 m+2 . These inequalities are a surprisingly similar discrete analogue of higher degree generalizations of the Laguerre and Turan inequ...
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