Affiliation:
1. Western Kentucky University, Department of Mathematics Bowling Green, Kentucky, USA
Abstract
In this paper, we introduce two new monotonicity concepts for a nonnegative
or nonpositive valued function defined on a discrete domain. We give examples
to illustrate connections between these new monotonicity concepts and the
traditional ones. We then prove some monotonicity criteria based on the sign
of the fractional difference operator of a function f, ??f with 0 < ? < 1. As
an application, we state and prove the mean value theorem on discrete
fractional calculus.
Publisher
National Library of Serbia
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Cited by
73 articles.
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