On the eigenstructure of the $q$-Durrmeyer operators

Övgü GÜREL YILMAZ (Recep Tayyip Erdoğan Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Rize, Türkiye)
Turkish Journal of Mathematics
1 0
Yıl: 2023 Cilt: 47 Sayı: 6 Sayfa Aralığı: 1643 - 1658 Metin Dili: İngilizce DOI: 10.55730/1300-0098.3454 İndeks Tarihi: 14-03-2024

On the eigenstructure of the $q$-Durrmeyer operators

Öz:
The purpose of this paper is to establish the eigenvalues and the eigenfunctions of both the $q$ -Durrmeyer operators Dn,$q$ and the limit $q$ -Durrmeyer operators D∞,$q$ introduced by V. Gupta in the case 0 < $q$ < 1 . All moments for Dn,$q$ and D∞,$q$ are provided. The coefficients for the eigenfunctions of the operators are explicitly derived and the eigenfunctions of these operators are illustrated by graphical examples.
Anahtar Kelime: $q$ -integers $q$ -Stirling numbers $q$ -Bernstein-Durrmeyer operators moments eigenvalues eigenfunctions

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Gürel Yılmaz Ö (2023). On the eigenstructure of the $q$-Durrmeyer operators. , 1643 - 1658. 10.55730/1300-0098.3454
Chicago Gürel Yılmaz Övgü On the eigenstructure of the $q$-Durrmeyer operators. (2023): 1643 - 1658. 10.55730/1300-0098.3454
MLA Gürel Yılmaz Övgü On the eigenstructure of the $q$-Durrmeyer operators. , 2023, ss.1643 - 1658. 10.55730/1300-0098.3454
AMA Gürel Yılmaz Ö On the eigenstructure of the $q$-Durrmeyer operators. . 2023; 1643 - 1658. 10.55730/1300-0098.3454
Vancouver Gürel Yılmaz Ö On the eigenstructure of the $q$-Durrmeyer operators. . 2023; 1643 - 1658. 10.55730/1300-0098.3454
IEEE Gürel Yılmaz Ö "On the eigenstructure of the $q$-Durrmeyer operators." , ss.1643 - 1658, 2023. 10.55730/1300-0098.3454
ISNAD Gürel Yılmaz, Övgü. "On the eigenstructure of the $q$-Durrmeyer operators". (2023), 1643-1658. https://doi.org/10.55730/1300-0098.3454
APA Gürel Yılmaz Ö (2023). On the eigenstructure of the $q$-Durrmeyer operators. Turkish Journal of Mathematics, 47(6), 1643 - 1658. 10.55730/1300-0098.3454
Chicago Gürel Yılmaz Övgü On the eigenstructure of the $q$-Durrmeyer operators. Turkish Journal of Mathematics 47, no.6 (2023): 1643 - 1658. 10.55730/1300-0098.3454
MLA Gürel Yılmaz Övgü On the eigenstructure of the $q$-Durrmeyer operators. Turkish Journal of Mathematics, vol.47, no.6, 2023, ss.1643 - 1658. 10.55730/1300-0098.3454
AMA Gürel Yılmaz Ö On the eigenstructure of the $q$-Durrmeyer operators. Turkish Journal of Mathematics. 2023; 47(6): 1643 - 1658. 10.55730/1300-0098.3454
Vancouver Gürel Yılmaz Ö On the eigenstructure of the $q$-Durrmeyer operators. Turkish Journal of Mathematics. 2023; 47(6): 1643 - 1658. 10.55730/1300-0098.3454
IEEE Gürel Yılmaz Ö "On the eigenstructure of the $q$-Durrmeyer operators." Turkish Journal of Mathematics, 47, ss.1643 - 1658, 2023. 10.55730/1300-0098.3454
ISNAD Gürel Yılmaz, Övgü. "On the eigenstructure of the $q$-Durrmeyer operators". Turkish Journal of Mathematics 47/6 (2023), 1643-1658. https://doi.org/10.55730/1300-0098.3454
Sayfa Oluşturulma Tarihi
24-04-2024 9:47

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