Weighted statistical approximation by kantorovich type q-Szasz-Mirakjan operators

被引：37
作者：
Orkcu, Mediha [1 ]
Dogru, Ogun [1 ]
机构：
[1] Gazi Univ, Dept Math, Fac Arts & Sci, TR-06500 Ankara, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 20期
关键词：
q-Szasz-Mirakjan operators; Weighted Korovkin type theorem; Voronovskaja type asymptotic formulas; Kantorovich type operators; POSITIVE LINEAR-OPERATORS; MIRAKYAN OPERATORS; CONVERGENCE;
D O I：
10.1016/j.amc.2011.03.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we introduce a Kantorovich type modification of q-Szasz-Mirakjan operators and obtain weighted statistical approximation properties of these operators. Also for introduced operators, we give a Voronovskaja type theorem related to q-derivatives. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：7913 / 7919
页数：7
相关论文
共 23 条
[1]   WEIGHTED APPROXIMATION BY q-SZASZ-KING TYPE OPERATORS [J].
Agratini, Octavian ;
Dogru, Oguen .
TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (04) :1283-1296
[2]  
Andrews R., 1999, Encyclopedia of Mathematics and Its Applications
[3]  
[Anonymous], 1994, DEGRUYTER STUD MATH
[4]  
[Anonymous], 1993, Analysis
[5]  
[Anonymous], 1974, Sov. Math. Dokl
[6]  
[Anonymous], 1960, LINEAR OPERATORS APP
[7]   A generalization of Szasz-Mirakyan operators based on q-integers [J].
Aral, Ali .
MATHEMATICAL AND COMPUTER MODELLING, 2008, 47 (9-10) :1052-1062
[8]   The q-derivative and applications to q-Szasz Mirakyan operators [J].
Aral, Ali ;
Gupta, Vijay .
CALCOLO, 2006, 43 (03) :151-170
[9]  
DALMANOGLU O, 2007, 12 WSEAS INT C APPL, P113
[10]   Statistical approximation by positive linear operators [J].
Duman, O ;
Orhan, C .
STUDIA MATHEMATICA, 2004, 161 (02) :187-197
123