数学物理学报 ›› 2010, Vol. 30 ›› Issue (3): 800-807.

• 论文 • 上一篇    下一篇

双曲正弦和双曲余弦函数的幂级数余项的不等式

宋迎清1|夏卫锋2|褚玉明3   

  1. 1. 湖南城市学院 数学系 湖南益阳 413000;2. 湖州师范学院 教师教育学院 浙江湖州 313000;3. 湖州师范学院 数学系 浙江湖州 313000
  • 收稿日期:2008-06-30 修回日期:2009-09-04 出版日期:2010-05-25 发布日期:2010-05-25
  • 基金资助:

    国家自然科学基金(60850005)和浙江省自然科学基金(D7080080, Y7080185, Y607128)资助

Inequalities for Residuals of Power Series for Hyperbolic Sine and Hyperbolic Cosine Functions

 SONG Ying-Qing1, JIA Wei-Feng2, CHU Yu-Ming3   

  1. 1. Department of Mathematics, Hunan City University, Hunan Yiyang 413000;
    2. College of Teacher Education, Huzhou Teachers College, Zhejiang Huzhou 313000;
    3. Department of Mathematics, Huzhou Teachers College, Zhejiang Huzhou 313000
  • Received:2008-06-30 Revised:2009-09-04 Online:2010-05-25 Published:2010-05-25
  • Supported by:

    国家自然科学基金(60850005)和浙江省自然科学基金(D7080080, Y7080185, Y607128)资助

摘要:

该文建立了双曲正弦和双曲余弦函数的幂级数余项的若干不等式.

 

关键词: 余项, 幂级数, 双曲正弦函数, 双曲余弦函数, 乘法凸函数, 不等式.

Abstract:

In this paper, the authors obtain some inequalities for residuals of power series for the hyperbolic sine and hyperbolic consine functions.

Key words:  Residual, Power series, Hyperbolic sine function, Hyperbolic cosine function, Multiplicative convex function, Inequality

中图分类号: 

  • 25A51