Bernstein-Kantorovich算子高阶导数的点态不等式被引量：1

Pointwise Inequation Theorem for Derivatives of Bernstein-Kantorovich Operators

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摘要给出了Bernstein-Kantorovich算子高阶导数的点态不等式。 In this paper we give the pointwise inequation for the derivatives of Bernstein-Kantorovich operators.

作者程丽

机构地区丽水学院数理学院

出处《丽水学院学报》 2007年第5期10-12,共3页 Journal of Lishui University

基金浙江省高校重点学科基金资助项目(2005)

关键词 BERNSTEIN-KANTOROVICH算子导数光滑模 Bernstein-Kantorovich operators derivatives moduli of smoothness

参考文献4

1Ditzian Z, Totik V. Moduli of Smoothness[M]. New York :Spring-Verlag, 1987.
2Ditzian Z. Derivatives of Bernstein polynomials and smoothness[J]. Proc Amer Math Soc,1985,93:25-31.
3Zhou D X. On smoothness characterized by Bernstein-type operators[J]. J Approx Theory,1995,81:303-315.
4Ditzian Z. A global inverse theorem for combinations of Bernstein polynomials[J]. J Approx Theory, 1979,26:277-292.

1Ditzian Z, Totik V.Moduli of Smoothness [ M ].New York: Spring-Verlag,1987:11 -125.
2Zhou D X.On smoothness characterized by Bemstein-type operators[J ].J Approx Theory,1995,81:303-315.
3Ditzian Z. A global inverse theorem for combinations ofBernstein polynomials[J ]. J Approx Theory, 1979,26:277-292.
4曹飞龙.Bernstein算子导数的点态和整体定理[J].宁夏大学学报（自然科学版）,2001,22(3):276-279. 被引量：3

丽水学院学报

2007年第5期

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