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

[31] Statistical Approximation of the q-Bernstein-Durrmeyer Type Operators
Ren, Mei-Ying
FUZZY SYSTEMS & OPERATIONS RESEARCH AND MANAGEMENT, 2016, 367 : 117 - 124
[32] Approximation properties of q-Baskakov-Durrmeyer-Stancu operators
Mishra V.N.
Patel P.
Mathematical Sciences, 2013, 7 (1)
[33] The Impact of the Limit q-Durrmeyer Operator on Continuous Functions
Gurel Yilmaz, Ovgu
Ostrovska, Sofiya
Turan, Mehmet
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2024,
[34] ON THE RATE OF CONVERGENCE FOR THE q-DURRMEYER POLYNOMIALS IN COMPLEX DOMAINS
Gurel, Ovgu
Ostrovska, Sofiya
Turan, Mehmet
MATHEMATICA SLOVACA, 2024, 74 (05) : 1267 - 1276
[35] Approximation by (p, q)-Baskakov-Durrmeyer-Stancu Operators
Acar, Tuncer
Mohiuddine, S. A.
Mursaleen, Mohammad
COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (06) : 1453 - 1468
[36] APPROXIMATION PROPERTIES FOR MODIFIED (p, q)-BERNSTEIN-DURRMEYER OPERATORS
Mursaleen, Mohammad
Alabied, Ahmed A. H.
MATHEMATICA BOHEMICA, 2018, 143 (02): : 173 - 188
[37] Approximation by q-Baskakov-Durrmeyer Type Operators of Two Variables
Yuksel, Ismet
Dinlemez, Ulku
Altin, Birol
COMPUTATIONAL ANALYSIS, AMAT 2015, 2016, 155 : 195 - 209
[38] Approximation Properties of (p, q)-Szasz-Mirakjan-Durrmeyer Operators
Lin, Zhi-Peng
Cheng, Wen-Tao
Xu, Xiao-Wei
JOURNAL OF FUNCTION SPACES, 2021, 2021
[39] Local and Global Approximation for Certain (p, q)-Durrmeyer Type Operators
Ana Maria Acu
Vijay Gupta
Neha Malik
Complex Analysis and Operator Theory, 2018, 12 : 1973 - 1989
[40] Local and Global Approximation for Certain (p, q)-Durrmeyer Type Operators
Acu, Ana Maria
Gupta, Vijay
Malik, Neha
COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (08) : 1973 - 1989

← 1 2 3 4 5 →