Geodesic
On generalizations of M.~G.~Krein, E.~A.~Gorin and Yu.~V.~Linnik inequalities for positive definite functions for multipoint case
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 263-270

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In the paper some generalizations are proved for well–known inequalities of M. G. Krein, E. A. Gorin and Yu. V. Linnik for positive definite functions for multipoint case. It is proved that multipoint inequality of E. A. Gorin is derived from two–point inequality of M. G. Krein for positive definite functions. Also generalizations are considered of Yu. V. Linnik inequality for characteristic functions in probability theory.
Keywords: M. G. Krein, E. A. Gorin and Yu. V. Linnik inequalities, positive definite functions, characteristic functions, Bochner's theorem. 
@article{SEMR_2019_16_a129,
     author = {A. B. Pevnyi and S. M. Sitnik},
     title = {On generalizations of {M.~G.~Krein,} {E.~A.~Gorin} and {Yu.~V.~Linnik} inequalities for positive definite functions for multipoint case},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {263--270},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a129/}
}
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A. B. Pevnyi; S. M. Sitnik. On generalizations of M.~G.~Krein, E.~A.~Gorin and Yu.~V.~Linnik inequalities for positive definite functions for multipoint case. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 263-270. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a129/