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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 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
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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.
Received: 02.02.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 2, Pages 65–74
DOI: https://doi.org/10.3103/S1066369X12020090
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: R. N. Fadeev, “Analogs of Lorentz theorems for double multiplicative systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 2, 76–85; Russian Math. (Iz. VUZ), 56:2 (2012), 65–74
Citation in format AMSBIB
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\paper Analogs of Lorentz theorems for double multiplicative systems
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 2
\pages 76--85
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 2
\pages 65--74
\crossref{https://doi.org/10.3103/S1066369X12020090}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862658320}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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