KANTOROVICH-TYPE GENERALIZATION OF CONFLUENT JAKIMOVSKI-LEVIATAN OPERATORS
Journal of Mathematical Inequalities, cilt.20, sa.2, ss.383-397, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 20 Sayı: 2
- Basım Tarihi: 2026
- Doi Numarası: 10.7153/jmi-2026-20-23
- Dergi Adı: Journal of Mathematical Inequalities
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.383-397
- Anahtar Kelimeler: confluent Appell polynomials, confluent Bernoulli polynomials, confluent Hermite polynomials, Jakimovski-Leviatan-Kantorovich operators
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
This paper studies the approximation features of the Kantorovich-type generalization of Jakimovski-Leviatan operators, which includes confluent Appell polynomials. By combining the integral structure of Kantorovich operators with the flexibility of Appell polynomials, we aim to provide a robust framework adaptable to various linear positive operators in applied mathematics. Furthermore, the confluent Kantorovich operators’ rate of convergence is determined through the use of Peetre’s K-functional and the modulus of continuity. Next, we demonstrate that the newly built operators lessen confluent Bernoulli polynomials and confluent Hermite polynomials, respectively, under specific choices of A(μ). In conclusion, we offer a graphic comparison between the recently created operators and the Jakimovski-Leviatan operators of Kantorovich type.