Approximation by quaternion (p, q)-Bernstein polynomials and Voronovskaja type result on

被引：0

作者：

Bin Jebreen, Haifa ^{[1
]}

Mursaleen, Mohammad ^{[2
]}

Naaz, Ambreen ^{[2
]}

机构：

[1] King Saud Univ, Dept Math, Coll Sci, Riyadh, Saudi Arabia

[2] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

关键词：

Quaternion; (p; q)-Bernstein-polynomials; Order of approximation; Analytic functions; Voronovskaja type results; Compact disk; Q-BERNSTEIN POLYNOMIALS; CONVERGENCE; OPERATORS;

D O I：

10.1186/s13662-018-1906-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define the Bernstein polynomials of degree m of a quaternion variable. We obtain some approximation results, and also the Voronovskaja type result with quantitative upper estimates is proved.

引用

页数：15

共 50 条

[31] APPROXIMATION BY BERNSTEIN POLYNOMIALS
TOTIK, V
AMERICAN JOURNAL OF MATHEMATICS, 1994, 116 (04) : 995 - 1018
[32] Voronovskaja type approximation theorem for q-Szasz-beta operators
Yuksel, Ismet
Dinlemez, Ulku
APPLIED MATHEMATICS AND COMPUTATION, 2014, 235 : 555 - 559
[33] Remark on Voronovskaja theorem for q-Bernstein operators
Finta, Zoltan
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2011, 56 (02): : 335 - 339
[34] The approximation of logarithmic function by q-Bernstein polynomials in the case q > 1
Sofiya Ostrovska
Numerical Algorithms, 2007, 44 : 69 - 82
[35] On the approximation of analytic functions by the q-Bernstein polynomials in the case q > 1
Ostrovska, Sofiya
Electronic Transactions on Numerical Analysis, 2010, 37 : 105 - 112
[36] Voronovskaja Type Approximation Theorem for q-Szasz-Schurer Operators
Vedi, Tuba
Oezarslan, Mehmet Ali
COMPUTATIONAL ANALYSIS, AMAT 2015, 2016, 155 : 353 - 361
[37] THE VORONOVSKAJA TYPE ASYMPTOTIC FORMULA FOR q-DERIVATIVE OF INTEGRAL GENERALIZATION OF q-BERNSTEIN OPERATORS
Mishra, Vishnu Narayan
Patel, Prashantkumar
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2018, 67 (02): : 298 - 305
[38] Some Approximation Results on Compact Sets by (p, q)-Bernstein-Faber Polynomials, q > p > 1
Naaz, Ambreen
Mursaleen, M.
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A5): : 2585 - 2593
[39] A note on (p, q)-Bernstein polynomials and their applications based on (p, q)-calculus
Agyuz, Erkan
Acikgoz, Mehmet
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[40] APPROXIMATION BY q-BERNSTEIN TYPE OPERATORS
Finta, Zoltan
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (02) : 329 - 336

← 1 2 3 4 5 →