Research Article

NOTE ON APPROXIMATION OF TRUNCATED BASKAKOV OPERATORS

Volume: 6 Number: 1 June 30, 2024
EN

NOTE ON APPROXIMATION OF TRUNCATED BASKAKOV OPERATORS

Abstract

In this paper, we firstly introduce nonlinear truncated Baskakov operators on compact intervals and obtain some direct theorems. Also, we give the approximation of fuzzy numbers by truncated nonlinear Baskakov operators.

Keywords

References

  1. L.A. Zadeh, Fuzzy sets, Inform. and Control, 8 (1965) 338-353.
  2. K. Weierstrass, U¨ ber die analytische darstellbarkeit sogenannter willku¨richer 55 funktionen einer reellen veranderlichen. Sitzungsberichte Der Akademie zu Berlin, 2(1)(1885) 633-639.
  3. V.A. Baskakov, An example of a sequence of linear positive operators in the space of continuous functions, Dokl. Akad. Nauk SSSR 113 (1957, in Russian) 249–251.
  4. Z. Finta, Direct local and global approximation theorems for some linear positive operators, Anal. Theory Appl. 20(4) (2004) 307–322.
  5. A. Lupas, Some properties of the linear positive operators, II. Mathematica (Cluj) 9(32) (1967) 295–298.
  6. B. Bede, L. Coroianu, S.G. Gal, Approximation by Max-Product Type Operators, Springer International Publishing,Switzerland (2016).
  7. B. Bede, L. Coroianu, S.G. Gal, Approximation and Shape Preserving Properties of The Truncated Baskakov Operator of Max-Product Kind, Revista De La Unio Mathematica Argentia, 52(1) (2011) 89- 107.
  8. S.G. Gal, Shape-Preserving Approximation by Real and Complex Polynomials, Birkhauser, Boston-Basel- Berlin,(2008) 89-104.

Details

Primary Language

English

Subjects

Approximation Theory and Asymptotic Methods

Journal Section

Research Article

Early Pub Date

July 1, 2024

Publication Date

June 30, 2024

Submission Date

September 18, 2023

Acceptance Date

March 25, 2024

Published in Issue

Year 2024 Volume: 6 Number: 1

APA
Acar, E., Kırcı Serenbay, S., & Yaseen Majeed, S. (2024). NOTE ON APPROXIMATION OF TRUNCATED BASKAKOV OPERATORS. Proceedings of International Mathematical Sciences, 6(1), 18-28. https://doi.org/10.47086/pims.1362142
AMA
1.Acar E, Kırcı Serenbay S, Yaseen Majeed S. NOTE ON APPROXIMATION OF TRUNCATED BASKAKOV OPERATORS. PIMS. 2024;6(1):18-28. doi:10.47086/pims.1362142
Chicago
Acar, Ecem, Sevilay Kırcı Serenbay, and Saleem Yaseen Majeed. 2024. “NOTE ON APPROXIMATION OF TRUNCATED BASKAKOV OPERATORS”. Proceedings of International Mathematical Sciences 6 (1): 18-28. https://doi.org/10.47086/pims.1362142.
EndNote
Acar E, Kırcı Serenbay S, Yaseen Majeed S (June 1, 2024) NOTE ON APPROXIMATION OF TRUNCATED BASKAKOV OPERATORS. Proceedings of International Mathematical Sciences 6 1 18–28.
IEEE
[1]E. Acar, S. Kırcı Serenbay, and S. Yaseen Majeed, “NOTE ON APPROXIMATION OF TRUNCATED BASKAKOV OPERATORS”, PIMS, vol. 6, no. 1, pp. 18–28, June 2024, doi: 10.47086/pims.1362142.
ISNAD
Acar, Ecem - Kırcı Serenbay, Sevilay - Yaseen Majeed, Saleem. “NOTE ON APPROXIMATION OF TRUNCATED BASKAKOV OPERATORS”. Proceedings of International Mathematical Sciences 6/1 (June 1, 2024): 18-28. https://doi.org/10.47086/pims.1362142.
JAMA
1.Acar E, Kırcı Serenbay S, Yaseen Majeed S. NOTE ON APPROXIMATION OF TRUNCATED BASKAKOV OPERATORS. PIMS. 2024;6:18–28.
MLA
Acar, Ecem, et al. “NOTE ON APPROXIMATION OF TRUNCATED BASKAKOV OPERATORS”. Proceedings of International Mathematical Sciences, vol. 6, no. 1, June 2024, pp. 18-28, doi:10.47086/pims.1362142.
Vancouver
1.Ecem Acar, Sevilay Kırcı Serenbay, Saleem Yaseen Majeed. NOTE ON APPROXIMATION OF TRUNCATED BASKAKOV OPERATORS. PIMS. 2024 Jun. 1;6(1):18-2. doi:10.47086/pims.1362142

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