双曲正弦和双曲余弦函数的幂级数余项的不等式
Inequalities for Residuals of Power Series for Hyperbolic Sine and Hyperbolic Cosine Functions
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.
In this paper,the authors obtain some inequalities for residuals of power series for the hyperbolic sine and hyperbolic consine functions.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2010年第3期800-807,共8页
Acta Mathematica Scientia
基金
国家自然科学基金(60850005)
浙江省自然科学基金(D7080080
Y7080185
Y607128)资助
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
Residual
Power series
Hyperbolic sine function
Hyperbolic cosine function
Multiplicative convex function
Inequality
参考文献33
-
1Baricz A,Neuman E.Inequalities involving modified Bessel functions of the first kind Ⅱ.J Math Anal Appl,2007,332(1):265-271.
-
2Baricz(A).Functional inequalities involving special functions Ⅱ.J Math Anal Appl,2007,327(2):1202-1213.
-
3Baricz(A).Functional inequalities involving special functions.J Math Anal Appl,2006,319(2):450-459.
-
4Alzer H.Inequalities for the tail of the exponential series.Z Anal Anwendungen,2002,21(2):521-528.
-
5Merkle M.Inequalities for residuals of power expansions for the exponential function and completely monotone functions.J Math Anal Appl,1997,212(1):126-134.
-
6Merkie M J,Vasi(c)P M.An inequality for residual of Maclaurin expansion.Arch Math,1996,66(3):194-196.
-
7Merkle M.Some inequalities for the chi-square distribution function and exponential function.Arch Math,1993,60(5):451-458.
-
8Dilcher K.An inequality for section of certain power series.Arch Math,1993,60(4):339-344.
-
9Chen W.Notes on an inequality for sections of certain power series.Arch Math,1994,62(6):528-530.
-
10Alzer H,Brenner J,Ruehr O.Inequalities for the tails of some elementary series.J Math Anal Appl,1993,179(2):500-506.
-
1耿济.双曲正弦函数与双曲余弦函数的推广[J].数学通报,1999,38(3):39-42.
-
2张士勤,郭白妮.反双曲正弦函数的单调性和不等式(英文)[J].Chinese Quarterly Journal of Mathematics,2009(3):384-388.
-
3苏景辉.一类含双曲余弦函数方程的解[J].哈尔滨船舶工程学院学报,1991,12(4):503-506.
-
4唐嘉.求解非线性互补问题的光滑牛顿算法[J].福建师范大学学报(自然科学版),2013,29(6):18-22. 被引量:2
-
5唐光明.一类初等函数的若干性质[J].怀化学院学报,1988,0(5):133-136.
-
6Hong-Yi Fan,Jun-Hua Chen,Peng-Fel Zhang.On the entangled fractional squeezing transformation[J].Frontiers of physics,2015,10(2):67-71. 被引量:2
-
7李晓爱.双曲函数本质特征的探讨[J].新乡学院学报,1999,20(4):38-39.
-
8潘杰,周玲.一道大学生数学竞赛题的联想[J].大学数学,2012,28(4):136-139. 被引量:1
-
9杨可.双曲正弦和双曲余弦的幂级数定义[J].内蒙古林学院学报,1997,19(2):49-54.
-
10刘芳,单锐,王芳,陈延德.双曲正弦罚函数法[J].甘肃联合大学学报(自然科学版),2008,22(1):40-42.