Approximation of BBB-continuous and BBB-differentiable functions by GBS operators of qqq-Bernstein-Schurer-Stancu type

Manjari SIDHARTH; Nurhayat İSPİR; Purshottam Narain AGRAWAL

Makale detayları

Approximation of BBB-continuous and BBB-differentiable functions by GBS operators of qqq-Bernstein-Schurer-Stancu type

Yazarlar:

Manjari SIDHARTH | Nurhayat İSPİR | Purshottam Narain AGRAWAL

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 6, pp.1298-1315

Belge Tipi:

Makale

Yayın Tarihi:

11/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746110

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

B&acaron;rbosu and Muraru (2015) introduced the bivariate generalization of the qqq-Bernstein-Schurer-Stancu operators and constructed a GBS operator of qqq-Bernstein-Schurer-Stancu type. The concern of this paper is to obtain the rate of convergence in terms of the partial and complete modulus of continuity and the degree of approximation by means of Lipschitz-type class for the bivariate operators. In the last section we estimate the degree of approximation by means of Lipschitz class function and the rate of convergence with the help of mixed modulus of smoothness for the GBS operator of qqq-Bernstein-Schurer-Stancu type. Furthermore, we show  comparisons by some illustrative graphics in Maple for the convergence of the operators to some functions.

Makale detayları

Approximation of BBB-continuous and BBB-differentiable functions by GBS operators of qqq-Bernstein-Schurer-Stancu type

Yazarlar: Manjari SIDHARTH | Nurhayat İSPİR | Purshottam Narain AGRAWAL

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 6, pp.1298-1315

Belge Tipi: Makale

Yayın Tarihi: 11/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746110

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Manjari SIDHARTH | Nurhayat İSPİR | Purshottam Narain AGRAWAL

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 6, pp.1298-1315

Belge Tipi:

Makale

Yayın Tarihi:

11/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746110

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098