Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Larry Gogoladze"'
Autor:
Larry Gogoladze
Publikováno v:
Georgian Mathematical Journal. 29:527-532
The paper deals with the convergence of the series ∑ k = 1 ∞ | c k ( f ) | r γ k , r ∈ ( 0 , 2 ) , \sum_{k=1}^{\infty}|c_{k}(f)|^{r}\gamma_{k},\quad r\in(0,2), where c k ( f ) {c_{k}(f)} are the Fourier coefficients of the function
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::870eb833e99c90cb3d224539171b8cd0
https://doi.org/10.1515/gmj-2022-2151
https://doi.org/10.1515/gmj-2022-2151
Autor:
Larry Gogoladze, Giorgi Cagareishvili
Publikováno v:
Publicationes Mathematicae Debrecen. 100:277-294
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df4a46f5a6c828e8f5ea957be24c0c54
https://doi.org/10.5486/pmd.2022.8855
https://doi.org/10.5486/pmd.2022.8855
Autor:
Larry Gogoladze, Giorgi Cagareishvili
Publikováno v:
Georgian Mathematical Journal.
Stefan Banach proved that even the Fourier series of the function f ( x ) = 1 {f(x)=1} ( x ∈ [ 0 , 1 ] ) {(x\in[0,1])} might not be convergent for some orthonormal systems (ONS). Thus we can conclude that the Fourier series of functions belongi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3468967823520c6d3d001cdd5629e424
https://doi.org/10.1515/gmj-2023-2017
https://doi.org/10.1515/gmj-2023-2017
Autor:
Giorgi Cagareishvili, Larry Gogoladze
Publikováno v:
Известия Российской академии наук. Серия математическая. 85:60-72
В работе найдены неулучшаемые в определенном смысле достаточные условия, которым должны удовлетворять функции ортонормированной сист
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::797fe6d23d2bd6c38d47a2de19e5bd64
https://doi.org/10.4213/im8985
https://doi.org/10.4213/im8985
Autor:
G. Cagareishvili, Larry Gogoladze
Publikováno v:
Acta Mathematica Hungarica. 161:327-340
We investigate the behavior of Fourier coefficients of Lip α class functions with respect to general orthonormal systems (ONS). The generalizations in a certain sense of some theorems by S. Szasz, B. I. Golubov and S. V. Bochkarev are obtained.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc264ac50290a97cf4669e1e0a749508
https://doi.org/10.1007/s10474-020-01019-4
https://doi.org/10.1007/s10474-020-01019-4
Autor:
V. Tsagareishvili, Larry Gogoladze
Publikováno v:
Moscow Mathematical Journal. 19:695-707
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1dfa26d1d6538a073f2686c63ff0b385
https://doi.org/10.17323/1609-4514-2019-19-4-695-707
https://doi.org/10.17323/1609-4514-2019-19-4-695-707
Autor:
Larry Gogoladze, V. Tsagareishvili
Publikováno v:
Acta Mathematica Hungarica. 158:109-131
It is well known that if $${f \in L_{2}(0,1)}$$ is an arbitrary function ( $${{f(x) \nsim 0}, x \in [0,1]}$$ ) then its Fourier coefficients with respect to general orthonormal systems (ONS) may belong only to $${\ell_2}$$ . Thus in the general case
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf0615a9e34536ac2b661a9ab6e9c24f
https://doi.org/10.1007/s10474-019-00911-y
https://doi.org/10.1007/s10474-019-00911-y
Autor:
V. Tsagareishvili, Larry Gogoladze
Publikováno v:
Georgian Mathematical Journal. 25:357-361
In the paper, we investigate the relation between the properties of functions and their Fourier–Haar coefficients. We show that for some classes of functions Fourier–Haar coefficients have constant signs and order of magnitude. In 1964, Golubov p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79d6deaee20315d5919c3f10b489d014
https://doi.org/10.1515/gmj-2018-0034
https://doi.org/10.1515/gmj-2018-0034
Autor:
Larry Gogoladze, V. Sh. Tsagareishvili
Publikováno v:
Siberian Mathematical Journal. 59:65-72
This article concerns the unconditional convergence a.e. of Fourier series with respect to general orthonormal systems. We find certain conditions to be satisfied by the functions in the orthonormal system so that the Fourier series of each function
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f063852494325379711ebb67600e1c6f
https://doi.org/10.1134/s0037446618010081
https://doi.org/10.1134/s0037446618010081
Autor:
V. Tsagareishvili, Larry Gogoladze
Publikováno v:
Publicationes Mathematicae Debrecen. 91:391-402
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f76d218680346115f9f591d6216d8e1
https://doi.org/10.5486/pmd.2017.7718
https://doi.org/10.5486/pmd.2017.7718