Approximation by the Bézier variant of the MKZ-Kantorovich operators in the case α < 1

• Autorzy: Xiao-Ming Zeng , Vijay Gupta
• Języki publikacji: EN

Abstrakty

EN

The pointwise approximation properties of the Bézier variant of the MKZ-Kantorovich operators $$ \hat M_{n,\alpha } (f,x) $$ for α ≥ 1 have been studied in [Comput. Math. Appl., 39 (2000), 1-13]. The aim of this paper is to deal with the pointwise approximation of the operators $$ \hat M_{n,\alpha } (f,x) $$ for the other case 0 < α < 1. By means of some new techniques and new inequalities we establish an estimate formula on the rate of convergence of the operators $$ \hat M_{n,\alpha } (f,x) $$ for the case 0 < α < 1. In the end we propose the q-analogue of MKZK operators.

Słowa kluczowe

EN

Bézier variant of the MKZ-Kantorovich operators; Rate of convergence; Pointwise approximation; Inequalities; Lebesgue-Stieltjes integral

Kategorie tematyczne

• 41A30: Approximation by other special function classes
• 41A36: Approximation by positive operators
• 41A25: Rate of convergence, degree of approximation

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 3
• Strony: 550-557

Daty

wydano

2009-09-01

online

2009-08-12

Twórcy

autor

Xiao-Ming Zeng

autor

Vijay Gupta

• Netaji Subhas Institute of Technology

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-009-0031-6