Title of article
A generalization of L’Hôspital-type rules for monotonicity and its application
Author/Authors
Wu، نويسنده , , Shanhe and Debnath، نويسنده , , Lokenath، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
7
From page
284
To page
290
Abstract
This paper deals with a generalization of L’Hôspital-type rules for monotonicity. The result is then used to establish a class of two-sided bounding inequalities for higher-order differentiable functions. As consequences, some refined upper and lower bounds for exponential function, logarithmic function, trigonometric functions and hyperbolic functions are derived.
Keywords
Two-sided bounding inequality , Generalization , polynomial approximation , Monotonicity , Higher-order differentiable function , L’Hôspital-type rules
Journal title
Applied Mathematics Letters
Serial Year
2009
Journal title
Applied Mathematics Letters
Record number
1525734
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