Parametric Extension of a Certain Family of Summation-Integral Type Operators

Nadire Fulda Odabaşı; İsmet Yüksel

doi:10.17776/csj.1173496

EN

Parametric Extension of a Certain Family of Summation-Integral Type Operators

Abstract

In this paper, we introduce a parametric extension of a certain family of summation-integral type operators on the interval [0,∞). Firstly, we obtain test functions and central moments. Secondly, we investigate weighted approximation properties for these operators and estimate the rate of convergence. Then, we give a pointwise approximation for the Peetre K-functional and functions of the Lipschitz class. Moreover, we demonstrate Voronovskaja type theorem for the operators. Finally, the convergence properties of operators to some functions are illustrated by graphics.

Keywords

rate of convergence, weighted spaces, weighted modulus of continuity

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Nadire Fulda Odabaşı ^*
0000-0001-5825-1177
Türkiye

İsmet Yüksel
0000-0002-2631-2382
Türkiye

Publication Date

June 30, 2023

Submission Date

September 10, 2022

Acceptance Date

February 24, 2023

Published in Issue

Year 2023 Volume: 44 Number: 2

DOI

https://doi.org/10.17776/csj.1173496

IZ

https://izlik.org/JA27XM52XX

APA

Odabaşı, N. F., & Yüksel, İ. (2023). Parametric Extension of a Certain Family of Summation-Integral Type Operators. Cumhuriyet Science Journal, 44(2), 315-327. https://doi.org/10.17776/csj.1173496

AMA

1.Odabaşı NF, Yüksel İ. Parametric Extension of a Certain Family of Summation-Integral Type Operators. CSJ. 2023;44(2):315-327. doi:10.17776/csj.1173496

Chicago

Odabaşı, Nadire Fulda, and İsmet Yüksel. 2023. “Parametric Extension of a Certain Family of Summation-Integral Type Operators”. Cumhuriyet Science Journal 44 (2): 315-27. https://doi.org/10.17776/csj.1173496.

EndNote

Odabaşı NF, Yüksel İ (June 1, 2023) Parametric Extension of a Certain Family of Summation-Integral Type Operators. Cumhuriyet Science Journal 44 2 315–327.

IEEE

[1]N. F. Odabaşı and İ. Yüksel, “Parametric Extension of a Certain Family of Summation-Integral Type Operators”, CSJ, vol. 44, no. 2, pp. 315–327, June 2023, doi: 10.17776/csj.1173496.

ISNAD

Odabaşı, Nadire Fulda - Yüksel, İsmet. “Parametric Extension of a Certain Family of Summation-Integral Type Operators”. Cumhuriyet Science Journal 44/2 (June 1, 2023): 315-327. https://doi.org/10.17776/csj.1173496.

JAMA

1.Odabaşı NF, Yüksel İ. Parametric Extension of a Certain Family of Summation-Integral Type Operators. CSJ. 2023;44:315–327.

MLA

Odabaşı, Nadire Fulda, and İsmet Yüksel. “Parametric Extension of a Certain Family of Summation-Integral Type Operators”. Cumhuriyet Science Journal, vol. 44, no. 2, June 2023, pp. 315-27, doi:10.17776/csj.1173496.

Vancouver

1.Nadire Fulda Odabaşı, İsmet Yüksel. Parametric Extension of a Certain Family of Summation-Integral Type Operators. CSJ. 2023 Jun. 1;44(2):315-27. doi:10.17776/csj.1173496

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