Simultaneous Approximation Properties of q-Modified Beta Operators

被引：0

作者：

Gairola, Asha Ram ^{[1
]}

Dobhal, Girish ^{[1
]}

Singh, Karunesh Kumar ^{[2
]}

机构：

[1] Univ Petr & Energy Studies, Dehra Dun, Uttar Pradesh, India

[2] Govt Polytech, Rampur, India

来源：

MATHEMATICAL ANALYSIS AND ITS APPLICATIONS | 2015年 / 143卷

关键词：

q-Modified beta operator; q-integers; Rate of approximation; Modulus of smoothness; Convergence; Q-BERNSTEIN POLYNOMIALS; CONVERGENCE; SATURATION;

D O I：

10.1007/978-81-322-2485-3_13

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish some approximation properties in simultaneous approximation for a q-analogue of the q-modified Beta operators B-n(q) (f, x) introduced by Gupta and Kim. The convergence properties of the q-derivatives of these operators are discussed. Using the estimates for q-moments, the rate of approximation in simultaneous approximation is obtained in terms of modulus of continuity.

引用

页码：169 / 184

页数：16

共 50 条

[1] On the rate of approximation by q modified Beta operators
Gupta, Vijay
Kim, Taekyun
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 377 (02) : 471 - 480
[2] Statistical Approximation Properties of Modified q-Stancu-Beta Operators
Mursaleen, M.
Khan, Asif
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (03) : 683 - 690
[3] Approximation properties of a kind of q-Beta operators
Zhao, Chong
Cai, Qing-Bo
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (02) : 291 - 298
[4] Thermodynamics of q-modified bosons
Swamy, PN
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1996, 10 (06): : 683 - 699
[5] APPROXIMATION PROPERTIES FOR MODIFIED q-BERNSTEIN-KANTOROVICH OPERATORS
Mursaleen, M.
Khan, Faisal
Khan, Asif
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2015, 36 (09) : 1178 - 1197
[6] APPROXIMATION PROPERTIES OF MODIFIED q-BERNSTEIN-KANTOROVICH OPERATORS
Acu, Ana Maria
Agrawal, P. N.
Kumar, Dharmendra
[J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 2170 - 2197
[7] Approximation by q Baskakov Beta operators
Gupta, Vijay
Aral, Ali
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 27 (04): : 569 - 580
[8] Approximation by q Baskakov Beta Operators
Vijay GUPTA
Ali ARAL
[J]. Acta Mathematicae Applicatae Sinica, 2011, 27 (04) : 569 - 580
[9] Approximation by q Baskakov Beta operators
Vijay Gupta
Ali Aral
[J]. Acta Mathematicae Applicatae Sinica, English Series, 2011, 27 : 569 - 580
[10] ON SIMULTANEOUS APPROXIMATION BY MODIFIED LUPAS OPERATORS
SAHAI, A
PRASAD, G
[J]. JOURNAL OF APPROXIMATION THEORY, 1985, 45 (02) : 122 - 128

← 1 2 3 4 5 →