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Kal'nei, Sergei Grigor'evich

Statistics Math-Net.Ru
Total publications: 10
Scientific articles: 7
Presentations: 1

Number of views:
This page:724
Abstract pages:1458
Full texts:747
References:51
Associate professor
Candidate of physico-mathematical sciences (1976)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 7.10.1949
E-mail:
Keywords: orthogonal series, Jacobi series, methods of summability, linear means.
UDC: 517.5
MSC: 42Cxx

Subject:

Summability of orthogonal series.

   
Main publications:
  • Ob otsenke snizu funktsii Lebega lineinykh srednikh ryadov Fure–Yakobi, Trudy MIAN, 170 (1984), 113–118.
  • Ob analoge teoremy S. M. Nikolskogo dlya ryadov Yakobi, Ukrainskii matematicheskii zhurnal, 43:4 (1991), 503–513.
  • On the summability of Jacobi series at Lebesgue points, Analysis Mathematica, 29 (2003), 181–194.
  • O skhodimosti lineinykh srednikh ryadov Yakobi v tochkakh lebega v sluchae polutselykh alfa, Matem. zametki, 80:2 (2006), 193–203.

https://www.mathnet.ru/eng/person17794
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/224001

Publications in Math-Net.Ru Citations
2006
1. S. G. Kal'nei, “On the Convergence of the Linear Means of Jacobi Series at Lebesgue Points in the Case of Half-Integer $\alpha$”, Mat. Zametki, 80:2 (2006),  193–203  mathnet  mathscinet  zmath  elib; Math. Notes, 80:2 (2006), 188–198  isi  scopus
1991
2. S. G. Kal'nei, “Necessary and sufficient conditions for the summability of Jacobi series”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 5,  75–78  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 35:5 (1991), 78–81
1987
3. S. G. Kal'nei, “On mean convergence of Fourier–Jacobi series with quasimonotone coefficients”, Trudy Mat. Inst. Steklov., 180 (1987),  128–129  mathnet  zmath; Proc. Steklov Inst. Math., 180 (1989), 148–149
1986
4. S. G. Kal'nei, “Convergence in the mean of Fourier–Jacobi series with quasimonotone coefficients”, Trudy Mat. Inst. Steklov., 173 (1986),  136–139  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 173 (1987), 145–149
1984
5. S. G. Kal'nei, “Lower bound of the Lebesgue function of linear means of Fourier–Jacobi series”, Trudy Mat. Inst. Steklov., 170 (1984),  113–118  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 170 (1987), 127–133 1
1983
6. S. G. Kal'nei, “Summability of Jacobi series by triangular matrices”, Mat. Zametki, 34:1 (1983),  91–103  mathnet  mathscinet  zmath; Math. Notes, 34:1 (1983), 530–536  isi 1
1975
7. S. G. Kal'nei, “Uniform boundedness in the $L$-metric of polynomials with respect to the Jacobi polynomials”, Dokl. Akad. Nauk SSSR, 222:5 (1975),  1024–1027  mathnet  mathscinet  zmath 1

2007
8. A. Berestov, I. Gorbatyy, V. Gundyrev, S. Kal'nei, S. Kuklin, A. Prokof'ev, T. Sokolova, I. Fedorenko, “Московский государственный институт электронной техники (технический университет)”, Kvant, 2007, no. 2,  36–37  mathnet
9. S. G. Kal'nei, “So Simple: A Manual Book is Guilty”, Math. Ed., 2007, no. 2(42),  58–59  mathnet
2005
10. A. Berestov, I. Gorbatyy, S. Kal'nei, A. Klyushin, S. Kuklin, T. Sokolova, Yu. Tyzhnov, “Московский государственный институт электронной техники (технический университет)”, Kvant, 2005, no. 2,  38–39  mathnet

Presentations in Math-Net.Ru
1. Об оценке функции Лебега–Лежандра линейных средних на интервале $(-1,1)$
S. G. Kal'nei
Seminar on Approximation Theory
March 1, 2012 10:30

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