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pro vyhledávání: '"K. R. Bitsadze"'
Autor:
K. R. Bitsadze
Publikováno v:
Ukrains’kyi Matematychnyi Zhurnal. 74:1625-1639
УДК 517.518.45 Встановлено, що кожна не більш ніж зліченна множина F із n -вимірного одиничного куба [ 0,1 ] n є множиною розбіжності n -кратного ря
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::65bfa4040734c13ec01404f559be3e35
https://doi.org/10.37863/umzh.v74i12.6886
https://doi.org/10.37863/umzh.v74i12.6886
Autor:
K. R. Bitsadze
Publikováno v:
Mathematical Notes. 109:679-693
It is known that, among all the differentiable homeomorphic changes of variable, only the functions $$\varphi_1 (x)=x$$ and $$\varphi_2 (x)=1-x$$ , $$x\in[0,1]$$ , preserve the absolute convergence of Fourier–Haar series everywhere. It is establish
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6fb26c6255a2148735e8028b62647654
https://doi.org/10.1134/s0001434621050023
https://doi.org/10.1134/s0001434621050023
Autor:
K. R. Bitsadze
Publikováno v:
Mathematical Notes. 108:162-170
It is established that, among all continuously differentiable homeomorphic changes of variable, the absolute convergence of Fourier series in the Haar wavelet system is preserved by only those for which $$\varphi^{-1}(0)$$ is binary-rational and $$\v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6795f27b6aa7e9a1ea0ed89bb4cea8fb
https://doi.org/10.1134/s0001434620070172
https://doi.org/10.1134/s0001434620070172
Autor:
K. R. Bitsadze
Publikováno v:
Sbornik: Mathematics. 210:783-808
It is established that among all the differentiable homeomorphic changes of variable only the functions and for preserve convergence everywhere of the Fourier-Haar series. The same is true for absolute convergence everywhere. Bibliography: 8 titles.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::728d444f2c0c797a3dfb01040472da42
https://doi.org/10.1070/sm9033
https://doi.org/10.1070/sm9033