期刊论文详细信息
Journal of inequalities and applications | |
Wirtinger integral inequalities for pseudo-integrals and pseudo-additive measure | |
Jing Guo1  Xianjun Zhu2  | |
[1] School of Software Engineering, Jinling Institute of Technology, 211169, Nanjing, P.R. China;School of Software Engineering, Jinling Institute of Technology, 211169, Nanjing, P.R. China;Reproductive Medicine Center, Jinling Hospital, 210002, Nanjing, P.R. China;Research Center for New Technology in Intelligent Equipment, Nanjing University, 210093, Nanjing, P.R. China; | |
关键词: Pseudo-operations; Pseudo-integral; Interval-valued measure; Pseudo-addition; Pseudo-multiplication; Wirtinger inequality; 03E72; 28E10; 26E50; 26D15; | |
DOI : 10.1186/s13660-021-02652-5 | |
来源: Springer | |
【 摘 要 】
The main purpose of this paper is to show Wirtinger type inequalities for the pseudo-integral. We are concerned with pseudo-integrals based on the following three canonical cases: in the first case, the real semiring with pseudo-operation is generated by a strictly monotone continuous function g; in the second case, the pseudo-operations include a pseudo-multiplication and a power arithmetic addition; in the last case, ⊕-measures are interval-valued. Examples are given to illustrate these equalities.
【 授权许可】
CC BY
【 预 览 】
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RO202108124133414ZK.pdf | 1577KB | download |