关于h积分的Ostrowski型不等式和Hermite-Hadamard型不等式的注记
Notes on Ostrowski Type Inequality and Hermite-Hadamard Type Inequality forh-integrals
时统业1
作者信息
- 1. 海军指挥学院,江苏 南京 211800
- 折叠
摘要
举例说明和修正了已有文献给出的h积分的Lipschitz条件下的Ostrowski型不等式和h导数有界情形下的梯形不等式.在一个特殊情况下,获得了由h积分的Hermite-Hadamard型不等式的左边部分生成的差值的估计.在h导数有界情形下,从h微积分的基本定理出发,建立了h积分的Iyengar型不等式.
Abstract
Ostrowski type inequality and trapezoidal inequality for h-integrals are given in existing literature.Counter examples are given illustrating these two inequalities are not valid,and the revised results are provided.In a special case,the estimation of the difference generated by the left part of Hermite-Hadamard type inequality for h-integrals is obtained.In the case where h-derivative is bounded,starting from the fundamental theorem of h-calculus,an Iyengar type inequality for h-integrals is established.
关键词
Ostrowski型不等式/Hermite-Hadamard型不等式/梯形不等式/Iyengar型不等式/h积分/h导数Key words
Ostrowski type inequality/Hermite-Hadamard type inequality/Trapezoidal inequality/Iyengar type inequality/h-integral/h-derivative引用本文复制引用
出版年
2025
NETL
NSTL
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