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Fractional Hermite-Hadamard type inequalities for functions whose mixed derivatives are co-ordinated $(\log,(s,m))$-convex | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 16، دوره 13، شماره 2، مهر 2022، صفحه 159-171 اصل مقاله (422.49 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.24260.2705 | ||
| نویسندگان | ||
| Meryem Benssaad* 1؛ Badreddine Meftah2؛ Sarra Ghomrani1؛ Wahida Kaidouchi1 | ||
| 1Higher Normal School of Technological Education, Skikda, Algeria | ||
| 2Laboratoire des telecommunications, Faculte des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria | ||
| تاریخ دریافت: 24 مرداد 1400، تاریخ پذیرش: 10 شهریور 1400 | ||
| چکیده | ||
| In this paper, we introduce the class of $(\log,(s,m))$-convexity on the co-ordinates, we establish a new identity involving the functions of two independent variables, and then we derive some fractional Hermite-Hadamard type integral inequalities for functions whose second derivatives are co-ordinated $(\log,(s,m))$-convex. | ||
| کلیدواژهها | ||
| co-ordinated $(log؛ (s؛ m))$-convex؛ co-ordinated convex؛ Holder inequality | ||
| مراجع | ||
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