Delta Complete Monotonicity and Completely Monotonic Degree on Time Scales

被引：0
作者：
Zhong-Xuan Mao
Jing-Feng Tian
机构：
[1] North China Electric Power University,Hebei Key Laboratory of Physics and Energy Technology, Department of Mathematics and Physics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2023年 / 46卷
关键词：
Complete monotonicity; Completely monotonic degree; Logarithmic complete monotonicity; Absolute monotonicity; Time scales; Psi function; Primary 26A48; 26B25; Secondary 26E70; 33B15;
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摘要：
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, we investigate the properties of delta complete monotonicity on time scales and present some judgment rules. Using judgment rules, three functions are shown to be delta complete monotonicity on time scales. And then, in order to quantitatively measure two delta completely monotonic functions on time scales, we present the concept of completely monotonic degree of univariate and multivariate functions on time scales and explore some properties of them.
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