Some Approximation Results on Bleimann-Butzer-Hahn Operators Defined by (p, q)-Integers

被引：87

作者：

Mursaleen, Mohammad ^{[1
]}

Nasiruzzaman, Md ^{[1
]}

Khan, Asif ^{[1
]}

Ansari, Khursheed Jamal ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

FILOMAT | 2016年 / 30卷 / 03期

关键词：

(p; q)-integers; q)-Bernstein operators; q)-Bleimann-Butzer-Hahn operators; q-Bleimann-Butzer-Hahn operators; modulus of continuity; Q)-ANALOG;

D O I：

10.2298/FIL1603639M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce a generalization of the Bleimann-Butzer-Hahn operators based on (p, q)-integers and obtain Korovkin's type approximation theorem for these operators. Furthermore, we compute convergence of these operators by using the modulus of continuity.

引用

页码：639 / 648

页数：10

共 50 条

[11] INVERSE-BETA AND GENERALIZED BLEIMANN-BUTZER-HAHN OPERATORS
ADELL, JA
DELACAL, J
SANMIGUEL, M
JOURNAL OF APPROXIMATION THEORY, 1994, 76 (01) : 54 - 64
[12] Rate of convergence for the Bezier variant of the Bleimann-Butzer-Hahn operators
Srivastava, HM
Gupta, V
APPLIED MATHEMATICS LETTERS, 2005, 18 (08) : 849 - 857
[13] An answer to Hermann's conjecture on Bleimann-Butzer-Hahn operators
Abel, Ulrich
Ivan, Mircea
JOURNAL OF APPROXIMATION THEORY, 2009, 160 (1-2) : 304 - 310
[14] Statistical approximation properties of q-Bleimann, Butzer and Hahn operators
Ersan, Sibel
Dogru, Ogun
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (7-8) : 1595 - 1606
[15] On the asymptotic approximation with operators of Bleimann, Butzer and Hahn
Abel, U
INDAGATIONES MATHEMATICAE-NEW SERIES, 1996, 7 (01): : 1 - 9
[16] Approximation properties of bivariate generalization of Bleimann-Butzer and Hahn operators based on the q-integers
Ersan, Sibel
APPLIED MATHEMATICS FOR SCIENCE AND ENGINEERING, 2007, : 122 - +
[17] LIMITING PROPERTIES OF INVERSE BETA AND GENERALIZED BLEIMANN-BUTZER-HAHN OPERATORS
ADELL, JA
DELACAL, J
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1993, 114 : 489 - 498
[18] Some approximation properties of the Kantorovich variant of the Bleimann, Butzer and Hahn operators
Nowak, Grzegorz
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2008, 49 (01): : 67 - 78
[19] Approximation by a kantorovich variant of the Bleimann, Butzer and Hahn operators
Zeng, Xiao-Ming
Abel, Ulrich
Ivan, Mircea
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2008, 11 (02): : 317 - 325
[20] A BIVARIATE EXTENSION OF BLEIMANN-BUTZER-HAHN OPERATOR
RasulA.Khan
Approximation Theory and Its Applications, 2002, (01) : 90 - 100

← 1 2 3 4 5 →