K. E. Tikhomirov, “The usage of recursive functions for proving probabilistic inequalities”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, Issue 6(80),Pages <nobr>78

Mathematics

The usage of recursive functions for proving probabilistic inequalities

K. E. Tikhomirov

Dept. of Functional Analysis and Theory of Functions, Samara State University, Samara, 443011, Russian Federation

Abstract: In the paper, the method of proving probabilistic inequalities based on the usage of recursive functions is considered. As an illustration, we give a solution to the problem which naturally arises in connection with Rosenthal's inequality intensification.

Keywords: Rosenthal inequality, independent functions.

UDC: 519.2

Received: 18.06.2010
Revised: 18.06.2010