Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (3): 391-397.
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CAO Fei-Long, XU Zong-Ben
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Published:
Supported by:
国家自然科学基金资助项目（６９９７５０１６）
Abstract:
引进一种新的光滑模，建立多元Ｂｅｒｎｓｔｅｉｎ多项式加权逼近的ＳｔｅｃｋｉｎＭａｒｃｈａｕｄ型不等式．
Key words: 多元Ｂｅｒｎｓｔｅｉｎ多项式, 加权逼近, 逆定理．
CLC Number:
CAO Fei-Long, XU Zong-Ben. Steckin-Marchaud-Type Inequality of |Weighted Approximation for Multivariate Bernstein Polynomials[J].Acta mathematica scientia,Series A, 2001, 21(3): 391-397.
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http://121.43.60.238/sxwlxbA/EN/Y2001/V21/I3/391
１ ＷｉｃｋｅｒｅｎＥ Ｖａｎ．Ｓｔｅｃｋｉｎｍａｒｃｈａｕｄｔｙｐｅｉｎｅｑｕｌｉｔｉｅｓｉｎｃｏｎｎｅｃｔｉｏｎｗｉｔｈｂｅｒｎｓｔｅｉｎｐｏｌｙｎｏｍｉａｌｓ．ＣｏｎｓｔｒＡｐｐｒｏｘ，１９８６，２：３３１－３３７ ２ ＤｉｔｚｉａｎＺ，ＺｈｏｕＸＬ．Ｏｐｔｉｍａｌａｐｐｒｏｘｉｍａｔｉｏｎｃｌａｓｓｆｏｒｍｕｌｔｉｖａｒｉａｔｅｂｅｒｎｓｔｅｉｎｏｐｅｒａｔｏｒｓ．ＰａｃｉｆｉｃＪｏｆＭａｔｈ，１９９３，１５６： ９３－１２０ ３ ＢｅｒｅｎｓＨ，ＬｏｒｅｎｔｚＧ Ｇ．Ｉｎｖｅｒｓｅｔｈｅｏｒｅｍｓｆｏｒｂｅｒｎｓｔｅｉｎｐｏｌｙｎｏｍｉａｌｓ．ＩｎｄｉａｎａＵｎｉｖＭａｔｈＪ，１９７２，２１：６９３－７０８
Cited
Multiple Positive Solutions for Even Order Sturm-Liouville Boundary Value Problems