On some Hermite-Hadamard-type integral inequalities for co-ordinated $\boldsymbol{(\alpha, \mbox{QC})}$- and $\boldsymbol{(\alpha, \mbox{CJ})}$-convex functions
| Autor: | Jian Sun, Bo-Yan Xi, Shu-Ping Bai |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
co-ordinated $(\alpha
\mbox{J})$-convex function Pure mathematics Hermite polynomials Mathematical analysis co-ordinated $(\alpha \mbox{CJ})$-convex function Type (model theory) co-ordinated $(\alpha \mbox{QC})$-convex function co-ordinated $(\alpha \mbox{JQC})$-convex function Hermite-Hadamard integral inequality 26D15 Hadamard transform 26A51 41A55 26E60 Convex conjugate Convex function 26D20 Geometry and topology Mathematics |
| Zdroj: | Tbilisi Math. J. 8, iss. 2 (2015), 75-86 |
| ISSN: | 1875-158X |
| Popis: | In the article, the authors introduce the new concepts “co-ordinated $(\alpha, \mbox{QC})$-, $(\alpha,\mbox{JQC})$-, $(\alpha, \mbox{CJ})$- and $(\alpha, \mbox{J})$-convex functions”, establish some Hermite-Hadamard's type integral inequalities for the co-ordinated $(\alpha, \mbox{QC})$-, $(\alpha,\mbox{JQC})$-, $(\alpha, \mbox{CJ})$- and $(\alpha, \mbox{J})$-convex functions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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