Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (3): 800-807.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 25A51
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