Inequalities of M.G. Krein, Yu.V. Linnik and E.A. Gorin for positive definite functions

Abstract

We investigate inequalities of M.G. Krein, Yu.V. Linnik and E.A. Gorin for positive definite functions. Modifications and generalizations of these inequalities are proved. We also prove that multipoint E.A. Gorin's inequality follows from two--point M.G. Krein's inequality.

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