| 广义Baskakov型算子的强逆不等式 |
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| 引用本文： | 齐秋兰.广义Baskakov型算子的强逆不等式[J].纯粹数学与应用数学,2002,18(4):317-321. |
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| 作者姓名： | 齐秋兰 |
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| 作者单位： | 河北师范大学数学与信息科学学院,河北,石家庄,050016 |
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| 基金项目： | 河北省自然科学基金;101090; |
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| 摘 要： | 利用二阶Ditzian-Totik模考虑一类算子的强逆不等式，这类不等式曾经被许多者用不同的方法研究过。本文将采用一种统一的方法来处理一大类算子的强逆不等式，得到了它们的Ditzian-Ivanov结果。本方法适用于更广的算子。
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| 关 键 词： | 广义Baskakov型算子 Baskakov型算子 强逆不等式 |
| 文章编号： | 1008-5513(2002)04-0317-05 |
| 修稿时间： | 2001年12月13日 |
The strong converse inequalities for generalized Baskakov-Type operators |
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| QI Qiu-lan.The strong converse inequalities for generalized Baskakov-Type operators[J].Pure and Applied Mathematics,2002,18(4):317-321. |
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| Authors: | QI Qiu-lan |
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| Abstract: | The converse inequalities a re proved for a family of operators that state the equivalence of two terms of e rror in approximation to the revelant Ditzian-Totik modulus of smoothness.Such inequalities have been studied by many authors with different methods.The emphas is of this paper is that these strong converse inequalities follow from a united method;hence the Ditzian-Ivanov result is extened to a large family of operato rs.The method of this paper is suitable for vast numbers of operators. |
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| Keywords: | Baskakov-type operators strong converse inequal ity |
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