Delta L’Hospital-, Laplace- and Variable Limit-Type Monotonicity Rules on Time Scales

• Published in: Bulletin of the Malaysian Mathematical Sciences Society Vol. 47; no. 1
• Main Authors: Mao, Zhong-Xuan, Tian, Jing-Feng
• Format: Journal Article
• Language: English
• Published: Singapore Springer Nature Singapore 01.01.2024; Springer Nature B.V
• Subjects: Applications of Mathematics; Hospitals; Integrals; Mathematical analysis; Mathematics; Mathematics and Statistics; Quotients; Time; 26E70; Monotonicity rule; Time scale; L’Hospital; 26A48; Laplace transform; Delta derivative; Variable limit integrals; Delta integral

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 del...