Scopus
YÖKSİS Eşleşti
(p,q)-Generalization of Szász–Mirakyan operators
Mathematical Methods in the Applied Sciences · Temmuz 2016
YÖKSİS Kayıtları
p q Generalization of Szász Mirakyan operators
Mathematical Methods in the Applied Sciences · 2016 SCI-Expanded
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Makale Bilgileri
DergiMathematical Methods in the Applied Sciences
Yayın TarihiTemmuz 2016
Cilt / Sayfa39 · 2685-2695
Scopus ID2-s2.0-84947743856
Özet
In this paper, we introduce new modifications of Szász–Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4. Some approximation properties of new operators are explored: the uniform convergence over bounded and unbounded intervals is established, direct approximation properties of the operators in terms of the moduli of smoothness is obtained and Voronovskaya theorem is presented. For the particular case p = 1, the previous results for q-Sz ász–Mirakyan operators are captured. Copyright © 2015 John Wiley & Sons, Ltd.
Yazarlar (1)
1
Tuncer Acar
Anahtar Kelimeler
(p,q)-integers
(p,q)-Szász–Mirakyan operators
weighted approximation
Kurumlar
Kirikkale Üniversitesi
Kirikkale Turkey
Metrikler
126
Atıf
1
Yazar
3
Anahtar Kelime