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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2012 Number 2, Pages 76–85 (Mi ivm8436)
Analogs of Lorentz theorems for double multiplicative systems

R. N. Fadeev

Chair of Function Theory and Approximation, Saratov State University, Saratov, Russia

Abstract: In this paper we prove Lorentz-type theorems connecting the behavior of Fourier coefficients and the decreasing order of the mixed modulus of continuity for double multiplicative systems with a bounded generating sequence.

Keywords: double multiplicative systems, Lorentz-type theorems, mixed modulus of continuity, generalized monotonicity.

UDC: 517.518

Received: 02.02.2011


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:2, 65–74

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© Steklov Math. Inst. of RAS, 2024