Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709306 | Applied Mathematics Letters | 2009 | 7 Pages |
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.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Shanhe Wu, Lokenath Debnath,