L'Hopital-Type Rules for Monotonicity with Application to Quantum Calculus
Classical Analysis and ODEs
2010-11-23 v1
Abstract
We prove new l'Hopital rules for monotonicity valid on an arbitrary time scale. Both delta and nabla monotonic l'Hopital rules are obtained. As an example of application, we give some new upper and lower bounds for the exponential function of quantum calculus restricted to the q-scale.
Keywords
Cite
@article{arxiv.1011.4880,
title = {L'Hopital-Type Rules for Monotonicity with Application to Quantum Calculus},
author = {Natalia Martins and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1011.4880},
year = {2010}
}
Comments
Submitted 25-Jul-2010; accepted 11-Nov-2010; to International Journal of Mathematics and Computation (IJMC)