共查询到17条相似文献,搜索用时 78 毫秒
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考虑满足一致分数阶Lipschitz条件的函数,用普通数学分析的方法,建立了涉及一致分数阶积分的Os-trowski 型不等式,拓展了一致分数阶可微函数的Ostrowski型不等式. 相似文献
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本文改进了有界变差函数的加权Ostrowski型不等式,并给出了其在求积公式中的应用. 相似文献
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二次可微函数的Ostrowski型不等式 总被引:1,自引:0,他引:1
研究了一类二次可微函数,利用二阶导数的上界和下界,给出了二次可微函数的O strow sk i型不等式,同时也推广了经典的中点不等式和梯形不等式. 相似文献
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文志英 《数学年刊A辑(中文版)》1983,(1)
对于一元无穷可微函数类C_I{M_n},利用一元n阶可微函数逐阶导数的模的关系,H.Cartan研究了两个类经复合后保持不变的条件以及有限区间上两个类等价的问题;A.Gorny研究了C_I{M_n}中元素的运算,给出了C_I{M_N}中任两个元素仍属此类的条件;S.Mandelbrojit系统地研究了三角类与可微类,得到了一些重要结果。本文先得出二元n阶可微函数的逐阶导数的模的关系,然后将上述所有主要结果推广到两个变量的情形,其条件仍与一元情形时相同。 相似文献
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陈群 《数学的实践与认识》2014,(16)
基于(α,m)-预不变凸函数的定义,利用Hlder不等式得到了一些新的(α,m)-预不变凸函数的Ostrowski型不等式,从而推广了已有文献中的结果. 相似文献
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George A. Anastassiou 《Journal of Mathematical Analysis and Applications》2008,337(2):962-968
The classical Ostrowski inequality for functions on intervals estimates the value of the function minus its average in terms of the maximum of its first derivative. This result is extended to functions on general domains using the L∞ norm of its nth partial derivatives. For radial functions on balls the inequality is sharp. 相似文献
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L.J. Dedic M. Matić J. Pečarić 《Journal of Computational Analysis and Applications》2002,4(4):313-337
Some generalizations of Ostrowski inequality for Hölder functions and functions with bounded derivatives are given. 相似文献
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Wen-Jun Liu Qiao-Ling Xue Shun-Feng Wang 《Journal of Applied Mathematics and Computing》2010,32(1):157-169
Generalizations of perturbed Ostrowski type inequality for functions of Lipschitzian type are established. Applications in numerical integration and cumulative distribution functions are also given. 相似文献
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Zheng Liu 《Applied Mathematics Letters》2012,25(3):393-397
A new generalization of weighted Ostrowski type inequality for mappings of bounded variation with a unified sharp bound is established. 相似文献
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《Mathematical and Computer Modelling》2000,31(6-7):61-70
We give new trapezoid inequality as well as Simpson and Ostrowski type inequalities for monotonic functions. We provide their applications in probability theory, numerical analysis, and for special means. 相似文献
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The main aim of this paper is to establish an Ostrowski type inequality on H-type groups using the L∞ norm of the horizontal gradient. The work has been motivated by the work of Anastassiou and Goldstein in [G.A. Anastassiou, J.A. Goldstein, Higher order Ostrowski type inequalities over Euclidean domains, J. Math. Anal. Appl. 337 (2008) 962-968]. 相似文献