A constructive method for approximating trigonometric functions and their integrals

被引：0
|
作者：
Xiao-diao Chen
Long-quan Wang
Yi-gang Wang
机构：
[1] Hangzhou Dianzi University,Key Laboratory of Complex Systems Modeling and Simulation
来源：
Applied Mathematics-A Journal of Chinese Universities | 2020年 / 35卷
关键词：
Padé approximant; trigonometric function; constructive method; interpolation-based method; two-sided bounds; 26D05; 26D07; 42A10; 42A15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper presents an interpolation-based method (IBM) for approximating some trigonometric functions or their integrals as well. It provides two-sided bounds for each function, which also achieves much better approximation effects than those of prevailing methods. In principle, the IBM can be applied for bounding more bounded smooth functions and their integrals as well, and its applications include approximating the integral of sin(x)/x function and improving the famous square root inequalities.
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页码：293 / 307
页数：14
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