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Found 60 Documents (Results 1–60)

On Fourier series almost universal in the class of measurable functions. (English. Russian original) Zbl 1497.42051

J. Contemp. Math. Anal., Armen. Acad. Sci. 57, No. 4, 215-221 (2022); translation from Izv. Nats. Akad. Nauk Armen., Mat. 57, No. 4, 14-22 (2022).
MSC:  42C10 42A20
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Functions universal with respect to the Walsh system. (English. Russian original) Zbl 1459.42041

J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 6, 376-388 (2020); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 6, 51-67 (2020).
MSC:  42C10 43A15
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On convergence of quadratic partial sums of a multiple Franklin series to infinity. (English. Russian original) Zbl 1453.42024

J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 1, 5-12 (2020); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 1, 9-18 (2020).
MSC:  42C10 42A20 43A15
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Double universal Fourier series. (English. Russian original) Zbl 1440.42134

J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 6, 355-364 (2019); translation from Izv. Nats. Akad. Nauk Armen., Mat. 2019, No. 6, 42-53 (2019).
MSC:  42C10
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Convergence of Fourier-Walsh double series in weighted \(L_{\mu}^{p}[0,1)^{2}\). (English) Zbl 1418.42043

Delgado, Julio (ed.) et al., Analysis and partial differential equations: perspectives from developing countries, Imperial College London, UK, 2016. Cham: Springer. Springer Proc. Math. Stat. 275, 109-136 (2019).
MSC:  42C10 43A15
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Almost everywhere convergence of greedy algorithm with respect to Vilenkin system. (English. Russian original) Zbl 1440.42133

J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 6, 331-345 (2018); translation from Izv. Nats. Akad. Nauk Armen., Mat. 53, No. 6, 13-32 (2018).
MSC:  42C10 42C20
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Universal functions in ‘correction’ problems guaranteeing the convergence of Fourier-Walsh series. (English. Russian original) Zbl 1367.42012

Izv. Math. 80, No. 6, 1057-1083 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 65-91 (2016).
MSC:  42C10
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On existence of a universal function for \(L^p[0, 1]\) with \(p\in(0, 1)\). (English. Russian original) Zbl 1361.42028

Sib. Math. J. 57, No. 5, 796-808 (2016); translation from Sib. Mat. Zh. 57, No. 5, 1021-1035 (2016).
MSC:  42C10
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On behavior of Fourier coefficients by Walsh system. (English. Russian original) Zbl 1343.42038

J. Contemp. Math. Anal., Armen. Acad. Sci. 51, No. 1, 21-33 (2016); translation from Izv. Nats. Akad. Nauk Armen., Mat. 51, No. 1, 3-20 (2016).
MSC:  42C10 42C20
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Nonlinear approximation by the trigonometric system in weighted \(L_\mu^p\) spaces. (English. Russian original) Zbl 1336.42019

J. Contemp. Math. Anal., Armen. Acad. Sci. 50, No. 3, 128-140 (2015); translation from Izv. Nats. Akad. Nauk Armen., Mat. 50, No. 3, 3-21 (2015).
MSC:  42C10
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Nonlinear approximation of functions from the class \(L^r\) with respect to the Vilenkin system. (English. Russian original) Zbl 1268.42049

Russ. Math. 57, No. 2, 25-33 (2013); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2013, No. 2, 30-39 (2013).
MSC:  42C10
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On rearranged series by Haar system. (English. Russian original) Zbl 1231.42026

J. Contemp. Math. Anal., Armen. Acad. Sci. 42, No. 2, 92-108 (2007); translation from Izv. Nats. Akad. Nauk Armen., Mat. 42, No. 2, 44-64 (2007).
MSC:  42C10 42C20
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On some properties of orthogonal systems. (English. Russian original) Zbl 0822.42017

Russ. Acad. Sci., Izv., Math. 43, No. 2, 261-289 (1994); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 57, No. 5, 75-105 (1993).
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Convergence almost everywhere of Fourier-Legendre series of summable functions. (English. Russian original) Zbl 0711.42011

Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 25, No. 1, 31-49 (1990); translation from Izv. Akad. Nauk Arm. SSR, Mat. 25, No. 1, 34-52 (1990).
MSC:  42A20 42C10
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