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.

arXiv comment9 pages, text in Russian with English abstract

References in corpus (3)

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• Inequalities and monotonicity of ratios for generalized hypergeometric function
• Generalized Young and Cauchy--Bunyakowsky Inequalities with Applications: a survey