Wilker-type inequalities for hyperbolic functions

详细信息    查看全文

• 作者：Shanhe Wu^a ; ^{wushanhe@yahoo.com.cn} ; Lokenath Debnath^b ; ^{debnathl@utpa.edu} ; ^{Debnathl@panam.edu}
• 关键词：Wilker&rsquo ; s inequality ; Wilker&ndash ; Anglesio inequality ; Sá ; ndor&ndash ; Bencze&rsquo ; s inequality ; Hyperbolic functions ; Circular functions ; Parameter
• 刊名：Applied Mathematics Letters
• 出版年：2012
• 出版时间：May 2012
• 年：2012
• 卷：25
• 期：5
• 页码：837-842
• 全文大小：206 K

文摘

Using classical analytic techniques, the Wilker-Anglesio inequality and parameterized Wilker inequality for hyperbolic functions are proved. The main result is then applied to deriving a hyperbolic analogue of the S¨¢ndor-Bencze inequality.