Approximation by q-Durrmeyer operators

被引：26

作者：

Finta, Zoltan ^{[1
]}

Gupta, Vijay ^{[2
]}

机构：

[1] Babes Bolyai Univ, Dept Math, Cluj Napoca 400084, Romania

[2] Netaji Subhas Inst Technol, Sch Appl Sci, Sector 3 Dwarka, New Delhi 110078, India

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2009年 / 29卷 / 1-2期

关键词：

q-Durrmeyer operators; Modulus of smoothness; K-functional; Simultaneous approximation;

D O I：

10.1007/s12190-008-0141-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Very recently Gupta (Appl. Math. Comput. 197(1), 172-178, 2008) introduced the q-Durrmeyer operators D(n,q)f and studied some approximation properties of such operators. In the present paper, we extend the studies and here we obtain some local and global direct results for the q-Durrmeyer type operators. Furthermore, we establish a simultaneous approximation theorem for D(n,q)f, where f is a polynomial.

引用

页码：401 / 415

页数：15

共 50 条

[1] Some approximation properties of q-Durrmeyer operators
Gupta, Vijay
APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (01) : 172 - 178
[2] A note on approximation properties of q-Durrmeyer operators
Zeng, Xiao-Ming
Lin, Diwang
Li, Lingling
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (03) : 819 - 821
[3] Recurrence Formula and Better Approximation for q-Durrmeyer Operators
Gupta, V.
Sharma, H.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2011, 32 (02) : 140 - 145
[4] Rate of Approximation by Finite Iterates of q-Durrmeyer Operators
Gairola, Asha Ram
Deepmala
Mishra, Lakshmi Narayan
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2016, 86 (02) : 229 - 234
[5] On the eigenstructure of the q-Durrmeyer operators
Gurel Yilmaz, Ovgu
TURKISH JOURNAL OF MATHEMATICS, 2023, 47 (06) : 1643 - 1658
[6] A short note on approximation properties of Stancu generalization of q-Durrmeyer operators
Mishra, Vishnu Narayan
Patel, Prashantkumar
FIXED POINT THEORY AND APPLICATIONS, 2013,
[7] Some Approximation Properties by A Kind of Modified q-Durrmeyer Type Operators
Ren, Meiying
PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE OF MATRICES AND OPERATORS (MAO 2012), 2012, : 46 - 49
[8] On certain q-Durrmeyer type operators
Gupta, Vijay
Finta, Zoltan
APPLIED MATHEMATICS AND COMPUTATION, 2009, 209 (02) : 415 - 420
[9] Exact orders in simultaneous approximation by complex q-Durrmeyer type operators
Ren, Mei-Ying
Zeng, Xiao-Ming
Zeng, Liang
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (05) : 895 - 905
[10] A short note on approximation properties of Stancu generalization of q-Durrmeyer operators
Vishnu Narayan Mishra
Prashantkumar Patel
Fixed Point Theory and Applications, 2013

← 1 2 3 4 5 →