On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$
Yıl: 2021 Cilt: 34 Sayı: 1 Sayfa Aralığı: 196 - 209 Metin Dili: İngilizce DOI: 10.35378/gujs.691419 İndeks Tarihi: 03-11-2022
On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$
Öz: The present paper deals with the Szász-Mirakyan-Durrmeyer-Stancu operators preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$. The uniform convergence of the constructed operators is mentioned in this paper. The rate of convergence is examined by employing two different modulus of continuities. After that, a Voronovskaya-type theorem is investigated for quantitative asymptotic estimation. Finally, a comparison is made theoretically to show that the new constructed operators perform well.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1] Mazhar, S.M., Totik, V., “Approximation by modified Szász operators”, Acta Sci. Math., 49: 257- 269, (1985).
- [2] Acar, T., Aral, A., Gonska, H., “On Szász-Mirakyan operators preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$”, Mediterranean J. Math., 14(6): 1-14, (2017).
- [3] Deniz, E., Aral, A., Gupta, V., “Note on Szász-Mirakyan-Durrmeyer operators preserving e2ax, a > 0”, Numerical Functional Analysis and Optimization, 39(2): 201-207, (2018).
- [4] Gupta, V., Deo, N., Zeng, X., “Simultaneous Approximation for Szász-Mirakian-Stancu- Durrmeyer Operators”, Analysis in Theory and Applications, 29(1): 86-96, (2013).
- [5] Acar, T., Aral, A., Cárdenas-Morales, D., Garrancho, P., “Szász-Mirakyan Type Operators Which Fix Exponentials”, Results Math., 72: 1393-1404, (2017).
- [6] Aral, A., Inoan, D., Raşa, I., “Approximation properties of Szász-Mirakyan operators preserving exponential functions”, Positivity, 23: 233-246, (2019).
- [7] Bodur, M., Gürel Yılmaz, Ö., Aral, A., “Approximation by Baskakov-Szász-Stancu Operators Preserving Exponential Functions”, Constructive Mathematical Analysis, 1(1): 1-8, (2018).
- [8] Gupta, V., Acu, A.M., “On Baskakov-Szász-Mirakyan-type operators preserving exponential type functions”, Positivity, 22: 919-929, (2018).
- [9] Gupta, V., Aral, A., “A note on Szász-Mirakyan-Kantorovich type operators preserving $e^{−x”}$, Positivity, 22: 415-423, (2018).
- [10] Boyanov, B.D. and Veselinov, V.M., “A note on the approximation of functions in an infinite interval by linear positive operators”, Bull. Math. Soc. Sci. Math. Roum., 14(62): 9-13, (1970).
- [11] Holhoş, A., “The rate of approximation of functions in an infinite interval by positive linear operators”, Stud. Univ. Babes-Bolyai Math., 2: 133-142, (2010).
- [12] DeVore, RA., Lorentz, G.G., “Constructive Approximation”, Springer, Berlin, 177, (1993).
- [13] Tachev, G., Gupta, V., Aral, A., “Voronovskaja’s theorem for functions with exponential growth”, Georgian Mathematical Journal, (2018). doi:10.1515/gmj-2018-0041
| APA | kanat k, Sofyalıoğlu M (2021). On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$. , 196 - 209. 10.35378/gujs.691419 |
| Chicago | kanat kadir,Sofyalıoğlu Melek On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$. (2021): 196 - 209. 10.35378/gujs.691419 |
| MLA | kanat kadir,Sofyalıoğlu Melek On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$. , 2021, ss.196 - 209. 10.35378/gujs.691419 |
| AMA | kanat k,Sofyalıoğlu M On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$. . 2021; 196 - 209. 10.35378/gujs.691419 |
| Vancouver | kanat k,Sofyalıoğlu M On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$. . 2021; 196 - 209. 10.35378/gujs.691419 |
| IEEE | kanat k,Sofyalıoğlu M "On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$." , ss.196 - 209, 2021. 10.35378/gujs.691419 |
| ISNAD | kanat, kadir - Sofyalıoğlu, Melek. "On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$". (2021), 196-209. https://doi.org/10.35378/gujs.691419 |
| APA | kanat k, Sofyalıoğlu M (2021). On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$. Gazi University Journal of Science, 34(1), 196 - 209. 10.35378/gujs.691419 |
| Chicago | kanat kadir,Sofyalıoğlu Melek On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$. Gazi University Journal of Science 34, no.1 (2021): 196 - 209. 10.35378/gujs.691419 |
| MLA | kanat kadir,Sofyalıoğlu Melek On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$. Gazi University Journal of Science, vol.34, no.1, 2021, ss.196 - 209. 10.35378/gujs.691419 |
| AMA | kanat k,Sofyalıoğlu M On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$. Gazi University Journal of Science. 2021; 34(1): 196 - 209. 10.35378/gujs.691419 |
| Vancouver | kanat k,Sofyalıoğlu M On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$. Gazi University Journal of Science. 2021; 34(1): 196 - 209. 10.35378/gujs.691419 |
| IEEE | kanat k,Sofyalıoğlu M "On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$." Gazi University Journal of Science, 34, ss.196 - 209, 2021. 10.35378/gujs.691419 |
| ISNAD | kanat, kadir - Sofyalıoğlu, Melek. "On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$". Gazi University Journal of Science 34/1 (2021), 196-209. https://doi.org/10.35378/gujs.691419 |
