THE EXISTENCE OF FUNCTIONS WITH THE UNIVERSAL PROPERTY BY CHRESTENSON-LEVY SYSTEM

Authors

S.A. YEPISKOPOSYAN National Polytechnic University of Armenia Author

Keywords:

Chrestenson-Levy system, function, universal

Abstract

In the present paper we will build a function , by strictly decreasing the Fourier Chrestenson-Levy coefficients which has the universal property . In particular it is proved that there exists the function U ∈L¹[0, 1) so that for every p≥1 and each function one can find a function , , such as .

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23.03.2026

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