2024
DOI: 10.1002/mma.9875
|View full text |Cite
|
Sign up to set email alerts
|

An unexpected property of fractional difference operators: Finite and eventual monotonicity

Christopher Goodrich,
Carlos Lizama

Abstract: We consider the relationship between the sign of the fractional difference and the positivity or monotonicity of . Our focus is on the case in which the fractional difference can be negative, and we show that surprisingly, , where is a constant, can still imply that is increasing or is positive. We also consider the setting of sequential difference operators such as for suitable choices of the parameters and . As is demonstrated by explicit examples, our results substantially improve some recent r… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 59 publications
(130 reference statements)
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?