Atıf İçin Kopyala
Yilmaz Ö.
Turkish Journal of Mathematics, cilt.47, sa.6, ss.1643-1658, 2023 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
47
Sayı:
6
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Basım Tarihi:
2023
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Doi Numarası:
10.55730/1300-0098.3454
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Dergi Adı:
Turkish Journal of Mathematics
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
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Sayfa Sayıları:
ss.1643-1658
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Anahtar Kelimeler:
eigenfunctions, eigenvalues, moments, q -Bernstein-Durrmeyer operators, q -integers, q -Stirling numbers
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Recep Tayyip Erdoğan Üniversitesi Adresli:
Evet
Özet
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.