Research Article

Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials

Volume: 10 Number: 4 December 31, 2023
EN

Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials

Abstract

This article is concerned with the sequence of operators of Stancu’s-type, involving extended Brenke polynomials. We apply Korovkin’s theorem to the sequence of positive linear operators, discuss the uniform approximation of continuous functions on closed bounded intervals by known tools theory, and also consider the second modulus of continuity, Peetre’s K-functional and Lipschitz class, which are essential concepts in approximation theory.

Keywords

References

  1. Agrawal, P. N., Baxhaku, B., & Chauhan, R. (2018). Quantitative Voronovskaya-and Grüss-Voronovskaya-type theorems by the blending variant of Szász operators including Brenke-type polynomials. Turkish Journal of Mathematics, 42(4), 1610-1629. https://doi.org/10.3906/mat-1708-1
  2. Aktaş¸ R., Çekim, B., & Taşdelen, F. (2013). A Kantorovich-Stancu Type Generalization of Szász Operators including Brenke Type Polynomials. Journal of Function Spaces and Applications, 935430. https://doi.org/10.1155/2013/935430
  3. Atakut, Ç., & Büyükyazcı, İ. (2016). Approximation by Kantorovich-Szász type operators based on Brenke type polynomials. Numerical Functional Analysis and Optimization, 37(12), 1488-1502. https://doi.org/10.1080/01630563.2016.1216447
  4. Chaggaraa, H., & Gahami, A. (2023). Classification of 2-Orthogonal Polynomials with Brenke Type Generating Functions. Mathematical Physics. https://doi.org/10.48550/arXiv.2310.11734
  5. Cheney, E. W., & Sharma, A. (1964). Bernstein power series. Canadian Journal of Mathematics, 16, 241-252. https://doi.org/10.4153/CJM-1964-023-1
  6. Çekim, B., Aktaş, R., & İçöz, G. (2019). Kantrovich-Stancu type operators including Boas-Buck type polynomials. Hacettepe Journal of Mathematics and Statistics, 48(2), 460-471. https://doi.org/10.15672/HJMS.2017.528
  7. İçöz, G., & Çekim, B. (2015). Dunkl generalization of Szász operators via q-calculus. Journal of Inequalities and Applications, 284. https://doi.org/10.1186/s13660-015-0809-y
  8. İçöz, G., & Çekim, B. (2016a). Stancu type generalization of Dunkl analogue of Szász Kantorovich operators. Mathematical Methods in the Applied Sciences, 39(7), 1803-1810. https://doi.org/10.1002/mma.3602

Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Publication Date

December 31, 2023

Submission Date

November 5, 2023

Acceptance Date

December 27, 2023

Published in Issue

Year 2023 Volume: 10 Number: 4

APA
İçöz, G., & Zaland, S. (2023). Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials. Gazi University Journal of Science Part A: Engineering and Innovation, 10(4), 555-570. https://doi.org/10.54287/gujsa.1386488
AMA
1.İçöz G, Zaland S. Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials. GU J Sci, Part A. 2023;10(4):555-570. doi:10.54287/gujsa.1386488
Chicago
İçöz, Gurhan, and Shamsullah Zaland. 2023. “Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials”. Gazi University Journal of Science Part A: Engineering and Innovation 10 (4): 555-70. https://doi.org/10.54287/gujsa.1386488.
EndNote
İçöz G, Zaland S (December 1, 2023) Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials. Gazi University Journal of Science Part A: Engineering and Innovation 10 4 555–570.
IEEE
[1]G. İçöz and S. Zaland, “Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials”, GU J Sci, Part A, vol. 10, no. 4, pp. 555–570, Dec. 2023, doi: 10.54287/gujsa.1386488.
ISNAD
İçöz, Gurhan - Zaland, Shamsullah. “Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials”. Gazi University Journal of Science Part A: Engineering and Innovation 10/4 (December 1, 2023): 555-570. https://doi.org/10.54287/gujsa.1386488.
JAMA
1.İçöz G, Zaland S. Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials. GU J Sci, Part A. 2023;10:555–570.
MLA
İçöz, Gurhan, and Shamsullah Zaland. “Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials”. Gazi University Journal of Science Part A: Engineering and Innovation, vol. 10, no. 4, Dec. 2023, pp. 555-70, doi:10.54287/gujsa.1386488.
Vancouver
1.Gurhan İçöz, Shamsullah Zaland. Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials. GU J Sci, Part A. 2023 Dec. 1;10(4):555-70. doi:10.54287/gujsa.1386488