Research Article
BibTex RIS Cite

Infimal generators and monotone sublinear operators

Year 2021, Volume: 4 Issue: 1, 91 - 92, 01.03.2021

Semën Samsonovich Kutateladze

https://doi.org/10.33205/cma.826134
https://izlik.org/JA98LF32XN

Abstract

We provide a version of Korovkin-type theorems for monotone sublinear operators in vector lattices
and discuss the possibilities of further extensions and generalizations.













.

Keywords

Supremal generator Korovkin-type theorem sublinear operator

References

  • S. G. Gal, C. P. Niculescu: A nonlinear extension of Korovkin’s theorem, Mediterranean Journal of Mathematics, 17 (5) (2020), Art. no. 145, 14 pages.
  • S. Kutateladze, A. Rubinov: Minkowski duality and its applications, Russian Math. Surveys, 27 (3) (1972), no. 3, 137–191.
  • A. Kusraev, S. Kutateladze: Subdifferentials: Theory and Applications, Kluwer, Dordrecht (1995).
  • A. Kusraev, S. Kutateladze: Boolean Valued Analysis, Kluwer, Dordrecht (1999).
  • F. Altomare, M. Campiti: Korovkin-type Approximation Theory and Its Applications, De Gruyter, Berlin and New York (1994).

Year 2021, Volume: 4 Issue: 1, 91 - 92, 01.03.2021

Semën Samsonovich Kutateladze

https://doi.org/10.33205/cma.826134
https://izlik.org/JA98LF32XN

Abstract

References

  • S. G. Gal, C. P. Niculescu: A nonlinear extension of Korovkin’s theorem, Mediterranean Journal of Mathematics, 17 (5) (2020), Art. no. 145, 14 pages.
  • S. Kutateladze, A. Rubinov: Minkowski duality and its applications, Russian Math. Surveys, 27 (3) (1972), no. 3, 137–191.
  • A. Kusraev, S. Kutateladze: Subdifferentials: Theory and Applications, Kluwer, Dordrecht (1995).
  • A. Kusraev, S. Kutateladze: Boolean Valued Analysis, Kluwer, Dordrecht (1999).
  • F. Altomare, M. Campiti: Korovkin-type Approximation Theory and Its Applications, De Gruyter, Berlin and New York (1994).
There are 5 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Semën Samsonovich Kutateladze 0000-0002-5306-2788

Publication Date March 1, 2021
DOI https://doi.org/10.33205/cma.826134
IZ https://izlik.org/JA98LF32XN
Published in Issue Year 2021 Volume: 4 Issue: 1

Cite

APA Kutateladze, S. S. (2021). Infimal generators and monotone sublinear operators. Constructive Mathematical Analysis, 4(1), 91-92. https://doi.org/10.33205/cma.826134
AMA 1.Kutateladze SS. Infimal generators and monotone sublinear operators. CMA. 2021;4(1):91-92. doi:10.33205/cma.826134
Chicago Kutateladze, Semën Samsonovich. 2021. “Infimal Generators and Monotone Sublinear Operators”. Constructive Mathematical Analysis 4 (1): 91-92. https://doi.org/10.33205/cma.826134.
EndNote Kutateladze SS (March 1, 2021) Infimal generators and monotone sublinear operators. Constructive Mathematical Analysis 4 1 91–92.
IEEE [1]S. S. Kutateladze, “Infimal generators and monotone sublinear operators”, CMA, vol. 4, no. 1, pp. 91–92, Mar. 2021, doi: 10.33205/cma.826134.
ISNAD Kutateladze, Semën Samsonovich. “Infimal Generators and Monotone Sublinear Operators”. Constructive Mathematical Analysis 4/1 (March 1, 2021): 91-92. https://doi.org/10.33205/cma.826134.
JAMA 1.Kutateladze SS. Infimal generators and monotone sublinear operators. CMA. 2021;4:91–92.
MLA Kutateladze, Semën Samsonovich. “Infimal Generators and Monotone Sublinear Operators”. Constructive Mathematical Analysis, vol. 4, no. 1, Mar. 2021, pp. 91-92, doi:10.33205/cma.826134.
Vancouver 1.Kutateladze SS. Infimal generators and monotone sublinear operators. CMA [Internet]. 2021 Mar. 1;4(1):91-2. Available from: https://izlik.org/JA98LF32XN

Cited By

Similarity of C1: Operators and the Hyperinvariant Subspace Problem
Journal of Mathematics
https://doi.org/10.1155/2024/9943902
Approximation of Abstract Korovkin-Type via Monotone Sublinear Operators: A Power Series Methods and Modified Operators
Mediterranean Journal of Mathematics
https://doi.org/10.1007/s00009-025-03008-9