Dergiler / Gazi University Journal of Science / 2026 / Volume: 29 Issue: 2

An Upper Estimate of Complex q-Balázs-Szabados- Kantorovich Operators on Compact Disks

AN UPPER ESTIMATE OF COMPLEX Q-BALÁZS-SZABADOS-KANTOROVICH OPERATORS ON COMPACT DISKS

Sayfa
—
Yayın Tarihi
2016-06-21
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, the complex q -Balázs-Szabados-Kantorovich operators are defined, and a convergence result and an upper quantitative estimate of these operators are given.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, the complex q -Balázs-Szabados-Kantorovich operators are defined, and a convergence result and an upper quantitative estimate of these operators are given.
📊
Temel Bulgular & Veri:In this paper, the complex q -Balázs-Szabados-Kantorovich operators are defined, and a convergence result and an upper quantitative estimate of these operators are given.
💡
Sonuç & Katkı:In this paper, the complex q -Balázs-Szabados-Kantorovich operators are defined, and a convergence result and an upper quantitative estimate of these operators are given.
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:convergence · order of convergence · q-Balázs-Szabados operators

Abstract

In this paper, the complex q -Balázs-Szabados-Kantorovich operators are defined, and a convergence result and an upper quantitative estimate of these operators are given.

🔖

Bu Makaleye Atıf Yap

Özkan, E. Y. (2016). An Upper Estimate of Complex q-Balázs-Szabados- Kantorovich Operators on Compact Disks. Gazi University Journal of Science, Volume: 29 Issue: 2. https://ajindex.com/articles/1269517

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (14)

  1. Andrews, G.E., Askey, R., Roy, R., Special Functions, Cambridge University Press, Cambridge, (1999).
  2. Aral, A, Gupta, V and Agarwal, R.P., Applications of q Calculus in Operator Theory, Springer, Berlin, (2013).
  3. Balázs, K., “Approximation by Bernstein type rational function”, Acta Math. Acad. Sci. Hung., 26: 123-134, (1975).
  4. Balázs, K., Szabados, J., “Approximation by Bernstein type rational function II”, Acta Math. Acad. Sci. Hung., 40(3-4): 331-337, (1982).
  5. Borwein, P., Erdélyi, T., “Sharp extensions of Bernstein's inequality to rational spaces”, Mathematika, 43(2): 412-423, (1996).
  6. Dogru, O., “On statistical approximation properties of Stancu type bivariate generalization of q-Balázs –Szabados operators”, In: Proceedings Int. Conf. on Numerical Analysis and Approximation Theory, Casa Cartii de Stiinta Cluj-Napoca, 179-194, (2006).
  7. Edward, J.C., Jafari, F., “A complex Rolle's theorem”, Am. Math. Mon., 99(9): 858-861, (1992).
  8. Gal, S.G., Approximation by Complex Bernstein and Convolution Type Operators, World Scientific, Hackensack, (2009).
  9. Ispir, N., Yildiz Ozkan, E., “Approximation properties of complex q- Balázs-Szabados operators in compact disks”, J. Inequal. Appl., 2013(361), (2013).
  10. Kac, V., Cheung, P., Quantum Calculus, Springer, New York, (2002).
  11. Kohr, G., Mocanu, P.T., Special Chapters of Complex Analysis, Cluj University Press, Cluj-Napoca, (2005).
  12. Korovkin, P.P., Linear operators and the theory of approximation, India, Delhi: Hindustan Publishing Corp., (1960).
  13. Yildiz Ozkan, E., “Approximation properties of bivariate complex q- Balázs-Szabados operators of tensor product kind”, J. Inequal. Appl., 2014:20, (2014).
  14. Yildiz Ozkan, E., “Approximation by complex bivariate Balázs -Szabados operators”, Bull. Malays. Math. Soc., 39: 1-16, (2016).