A generalization of Szász–Baskakov operators including Genocchi polynomials

KANAT, KADİR; Sofyalıoğlu Aksoy, Melek; Piliç, Nilüfer

doi:10.1080/10652469.2026.2663946

A generalization of Szász–Baskakov operators including Genocchi polynomials

KANAT K., Sofyalıoğlu Aksoy M., Piliç N.

Integral Transforms and Special Functions, 2026 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2026
Doi Numarası: 10.1080/10652469.2026.2663946
Dergi Adı: Integral Transforms and Special Functions
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
Anahtar Kelimeler: Genocchi polynomials, Szász–Baskakov operators, Voronovskaya-type theorem
Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet

Özet

In this paper, we generalize the Szász–Baskakov operators by using Genocchi polynomials. First, we obtain the rate of convergence for our new operators, followed by some approximation results. Finally, Voronovskaya's theorem and error table are presented.