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Monotonicity results for nabla fractional h ‐difference operators
Author(s) -
Liu Xiang,
Du Feifei,
Anderson Douglas,
Jia Baoguo
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6823
Subject(s) - mathematics , monotonic function , nabla symbol , function (biology) , pure mathematics , mathematical analysis , omega , physics , quantum mechanics , evolutionary biology , biology
In this paper, we give a new method to show the monotonicity results for a function f satisfying (a∇ h ν f ) ( t ) ≤ 0 (or (a∇ h , ∗ ν f ) ( t ) ≤ 0 ) with ν ∈ (0,1] , which has never been solved in the existing literatures. In addition, we give an example to illustrate one of our main results.