On approximation properties of generalized Lupaş type operators based on Polya distribution with Pochhammer kkk-symbol

Övgü GÜREL YILMAZ; Rabia AKTAŞ; Fatma TAŞDELEN YEŞİLDAL; Ali OLGUN

doi:https://doi.org/10.15672/hujms.911716

Makale detayları

On approximation properties of generalized Lupaş type operators based on Polya distribution with Pochhammer kkk-symbol

Yazarlar:

Övgü GÜREL YILMAZ | Rabia AKTAŞ | Fatma TAŞDELEN YEŞİLDAL | Ali OLGUN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 2, pp.338-361

Belge Tipi:

Makale

Yayın Tarihi:

3/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000450268

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.911716

Özet:

 

The purpose of this paper is to introduce a Kantorovich variant of Lupa\c{s}-Stancu operators based on Polya distribution with Pochhammer kkk-symbol. We obtain rates of convergence for these operators by means of the classical modulus of continuity. Also, we give a Voronovskaja type theorem for the pointwise approximation. Furthermore, we construct a bivariate generalization of these operators and we discuss some convergence properties of them. Finally, we present some figures to compare approximation properties of our new operators with those of other operators which are mentioned in this paper. We observe that the approximation of our operators to the function fff is better than that of some other operators in a certain range of values of kkk.

Makale detayları

On approximation properties of generalized Lupaş type operators based on Polya distribution with Pochhammer kkk-symbol

Yazarlar: Övgü GÜREL YILMAZ | Rabia AKTAŞ | Fatma TAŞDELEN YEŞİLDAL | Ali OLGUN

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 2, pp.338-361

Belge Tipi: Makale

Yayın Tarihi: 3/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000450268

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.911716

Sayı

Yazarlar:

Övgü GÜREL YILMAZ | Rabia AKTAŞ | Fatma TAŞDELEN YEŞİLDAL | Ali OLGUN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 2, pp.338-361

Belge Tipi:

Makale

Yayın Tarihi:

3/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000450268

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.911716