In this paper, the inequality estimates of Bernstein basis functions and Meyer-Konig and Zeller basis functions are studied. Exact bounds for these two basis functions are obtained. Moreover. some application results of the new estimates in estimating the rate of convergence of Durrmeyer operators and Meyer-Koning and Zeller operators for functions of bounded variation are also given. (C) 1998 Academic Press.
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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
Li, Cuixiang
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Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China
Li, Cuixiang
Qi, Qiulan
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Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, 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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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
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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
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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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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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Hengshui Profess & Tech Inst, Hengshui 053000, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China