Fuzzy differential subordination and superordination results for q-analogue of multiplier transformation

被引：6
|
作者：
Lupas, Alina Alb [1 ]
Shah, Shujaat Ali [2 ]
Iambor, Loredana Florentina [1 ]
机构：
[1] Univ Oradea, Dept Math & Comp Sci, 1 Univ St, Oradea 410087, Romania
[2] Quaid Eawam Univ Engn Sci & Technol QUEST, Dept Math & Stat, Nawabshah 67450, Pakistan
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 07期
关键词：
convex function; differential operator; q-analogue operator; fuzzy differential subordination; fuzzy best dominant; fuzzy differential superordination; fuzzy best subordinant;
D O I：
10.3934/math.2023794
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the authors combine the quantum calculus applications regarding the theories of differential subordination and superordination with fuzzy theory. These results are established by means of an operator defined as the q-analogue of the multiplier transformation. Interesting fuzzy differential subordination and superordination results are derived by the authors involving the functions belonging to a new class of normalized analytic functions in the open unit disc U which is defined and investigated here by using this q-operator.
引用
收藏
页码：15569 / 15584
页数：16
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