Delta Complete Monotonicity and Completely Monotonic Degree on Time Scales

• Published in: Bulletin of the Malaysian Mathematical Sciences Society Vol. 46; no. 4
• Main Authors: Mao, Zhong-Xuan, Tian, Jing-Feng
• Format: Journal Article
• Language: English
• Published: Singapore Springer Nature Singapore 01.07.2023; Springer Nature B.V
• Subjects: Applications of Mathematics; Mathematics; Mathematics and Statistics; Multivariate analysis; Time; 33B15; Completely monotonic degree; Time scales; Absolute monotonicity; Primary 26A48; Secondary 26E70; Logarithmic complete monotonicity; 26B25; Complete monotonicity; Psi function

The theory of time scale was proposed to unite continuous and discrete statements. In this paper, we introduce the concepts of complete monotonicity, logarithmic complete monotonicity, and absolute monotonicity of multivariate functions on time scales utilizing the delta derivative. Following that,...