New types of general single/multiple integral inequalities

Journal of Inequalities and Applications

Research

Liansheng Zhang¹  Haosheng Meng² 

[1] Department of Mathematics and Physics, Beijing Institute of Petrochemical Technology, 102617, Beijing, China;School of Information Engineering, Beijing Institute of Petrochemical Technology, 102617, Beijing, China;

关键词: Integral inequality;    Integral inner product space;    Time-delay systems;    Stability analysis;   

DOI  :  10.1186/s13660-023-03026-9

 received in 2023-05-02, accepted in 2023-08-29,  发布年份 2023

来源: Springer

【 摘 要 】

By introducing some concepts such as multiple integral inner product (MIIP) and multiple integral inner product space (MIIPS), new series of single/multiple integral inequalities are developed in a systematic way, which produce more accurate bounds on the cross terms from the direct Lyapunov method than those in the literature. Some previous integral inequalities including both single and multiple integral inequalities can be regarded as special cases of the proposed inequalities. Accordingly, such integral inequalities are less conservative in comparison with the existing integral inequalities.

【 授权许可】

CC BY   
© Springer Nature Switzerland AG 2023

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