http://dspace.bsu.edu.ru/handle/123456789/31534| Title: | A generalization of Cauchy-Bunyakovsky integral inequality via means with max and min values |
| Authors: | Agarwal, P. Korenovskii, A. A. Sitnik, S. M. |
| Keywords: | mathematics mathematical inequalities Cauchy-Bunyakovsky integral inequalit special functions min and max functions |
| Issue Date: | 2018 |
| Citation: | Agarwal, P. A generalization of Cauchy-Bunyakovsky integral inequality via means with max and min values / P. Agarwal, A. A. Korenovskii, S. M. Sitnik // Advances in Mathematical Inequalities and Applications / eds. P. Agarwal, S. S. Dragomir, M. Jleli [et al.]. - Singapore, 2018. - P. 333-349. |
| Abstract: | In the paper, we give a brief survey of a method for constructing generalizations of Cauchy-Bunyakovsky integral inequality using abstract mean values. One special inequality of this type is considered in details in terms of min and max functions. Some direct proofs of this inequality are given and application to inequalities for special functions |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/31534 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Sitnik_Generalization.pdf | 439.08 kB | Adobe PDF | View/Open |
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