A generalization of L'Hospital-type rules for monotonicity and its application

作者：Wu Shanhe^*; Debnath Lokenath

来源：Applied Mathematics Letters, 2009, 22(2): 284-290.

DOI：10.1016/j.aml.2008.06.001

• L'Hospital-type rules
• Monotonicity
• Generalization
• Two-sided bounding inequality
• Polynomial approximation
• Higher-order differentiable function

This paper deals with a generalization of L'Hospital-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.

• 出版日期2009-2
• 单位龙岩学院