Research Article

Infimal generators and monotone sublinear operators

Volume: 4 Number: 1 March 1, 2021
Constructive Mathematical Analysis Cover
Constructive Mathematical Analysis
PDF Download
EN

Infimal generators and monotone sublinear operators

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

References

  1. 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.
  2. S. Kutateladze, A. Rubinov: Minkowski duality and its applications, Russian Math. Surveys, 27 (3) (1972), no. 3, 137–191.
  3. A. Kusraev, S. Kutateladze: Subdifferentials: Theory and Applications, Kluwer, Dordrecht (1995).
  4. A. Kusraev, S. Kutateladze: Boolean Valued Analysis, Kluwer, Dordrecht (1999).
  5. F. Altomare, M. Campiti: Korovkin-type Approximation Theory and Its Applications, De Gruyter, Berlin and New York (1994).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

March 1, 2021

Submission Date

November 15, 2020

Acceptance Date

January 17, 2021

Published in Issue

Year 2021 Volume: 4 Number: 1

DOI

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

IZ

https://izlik.org/JA98LF32XN

Cite

RIS / Bibtex
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.Semën Samsonovich Kutateladze. Infimal generators and monotone sublinear operators. CMA. 2021 Mar. 1;4(1):91-2. doi:10.33205/cma.826134

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