| 加权(C)eby(s)ev-Ostrowski型不等式 |
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| 引用本文： | A·拉费克,N·A·密尔,F·阿马德,海治.加权(C)eby(s)ev-Ostrowski型不等式[J].应用数学和力学,2007,28(7):805-810. |
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| 作者姓名： | A·拉费克 N·A·密尔 F·阿马德 海治 |
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| 作者单位： | 1. COMSATS信息技术学院,数学系,伊斯兰堡,44000,巴基斯坦
2. 巴霍丁扎卡里亚大学,纯数学和应用数学高级研究中心,木尔坦,60800,巴基斯坦 |
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| 摘 要： | 关于著名的Cebysev不等式，已有众多的研究成果．通过建立积分不等式，来建立全新的加权Cebysev型积分不等式．给予了独立的证明，并给出了此类不等式的新评价．
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| 关 键 词： | (C)eby(s)ev不等式 函数空间 绝对连续函数 权函数 |
| 文章编号： | 1000-0887（2007）07-0805-06 |
| 修稿时间： | 2006-08-17 |
Weighted (C)eby(s)ev-Ostrowski Type Inequalities Involving Functions Whose First Derivatives Belong to a Spaces of the Functions |
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| Arif Rafiq, Nazir Ahmad Mir, Farooq Ahmad.Weighted (C)eby(s)ev-Ostrowski Type Inequalities Involving Functions Whose First Derivatives Belong to a Spaces of the Functions[J].Applied Mathematics and Mechanics,2007,28(7):805-810. |
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| Authors: | Arif Rafiq Nazir Ahmad Mir Farooq Ahmad |
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| Institution: | 1. Mathematics Department, COMSATS Institute of Information Technology, Plot # 30, Sector H-8/1, Islamabad 44000, Pakistan; 2. Centre for Advanced Studies in Pure and Applied Mathematics, Zakariya University, Multan 50800, Pakistan |
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| Abstract: | On account of the famous Cebysev inequality, a rich theory has appeared in some literature. Some new weighted Cebysev type integral inequalities via certain integral inequalities for functions whose first derivatives belong to a space of the functions are established. The proofs are of independent interest and provide new estimates on these types of inequalities. |
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| Keywords: | Cebysev type inequality space of the function absolutely continuous function weight function |
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