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- [1] Delta L’Hospital-, Laplace- and Variable Limit-Type Monotonicity Rules on Time ScalesBulletin of the Malaysian Mathematical Sciences Society, 2024, 47Zhong-Xuan MaoJing-Feng Tian
Delta L'Hospital-, Laplace- and Variable Limit-Type Monotonicity Rules on Time Scales
被引：5
|作者：
Mao, Zhong-Xuan
[1
,2
]
Tian, Jing-Feng
[1
]
机构：
[1] North China Elect Power Univ, Dept Math & Phys, Hebei Key Lab Phys & Energy Technol, Yonghua St 619, Baoding 071003, Peoples R China
[2] Jilin Univ, Sch Math, Qianjin St 2699, Changchun 130012, Peoples R China
关键词：
Monotonicity rule;
L'Hospital;
Laplace transform;
Variable limit integrals;
Time scale;
Delta derivative;
Delta integral;
MODIFIED BESSEL-FUNCTIONS;
INEQUALITIES;
CONVEXITY;
RATIOS;
SPEED;
D O I：
10.1007/s40840-023-01599-8
中图分类号：
O1 [数学];
学科分类号：
0701 ;
070101 ;
摘要：
Monotonicity rules for the quotient of two functions play foundational roles in the fields of mathematics and applied mathematics. In this paper, we establish monotonicity rules for the L'Hospital type, the quotient of two Laplace transforms, and the quotient of two variable limit integrals with delta derivatives and delta integrals on time scales. Some generalized forms for these monotonicity rules are also considered in detail. As an application, we utilize monotonicity rules to demonstrate that a function is strictly decreasing.
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页数：28
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