A-statistical convergence;
positive linear operators;
the Korovkin type theorem;
the Meyer-Konig and Zeller operators;
Peetre's K-functional;
D O I:
10.1556/SScMath.40.2003.3.9
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In the present paper, we study a Kantorovich type generalization of Agratini's operators. Using A-statistical convergence, we will give the approximation properties of Agratini's operators and their Kantorovich type generalizations. We also give the rates of A-statistical convergence of these operators.
机构:
Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China
Guo, Shunsheng
Liu, Lixia
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机构:
Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China
Liu, Lixia
Chen, Hua
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机构:
Hengshui Profess & Tech Inst, Hengshui 053000, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China
机构:
Eastern Mediterranean Univ, Fac Arts & Sci, Dept Math, TR-10 Gazimagusa, Mersin, TurkeyTOBB Econ & Technol Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey
Ozarslan, M. Ali
Duman, Oktay
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机构:
TOBB Econ & Technol Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, TurkeyTOBB Econ & Technol Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey
机构:
Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China
Guo, Shunsheng
Jiang, Hongbiao
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机构:Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China
Jiang, Hongbiao
Qi, Qiulan
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机构:Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China
机构:
Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Hebei, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Hebei, Peoples R China
Guo, Shunsheng
Liu, Lixia
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h-index: 0
机构:
Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Hebei, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Hebei, Peoples R China
Liu, Lixia
Wang, Zhiming
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机构:
Tangshan Univ, Dept Fundamental Courses, Tangshan, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Hebei, Peoples R China