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Remarks on uniformly convexity with applications in A-G-H inequality and entropy | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 13، دوره 13، شماره 2، مهر 2022، صفحه 131-139 اصل مقاله (382.92 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24133.2678 | ||
| نویسنده | ||
| Yamin Sayyari* | ||
| Department of Mathematics, Sirjan University of Technology, Sirjan, Iran | ||
| تاریخ دریافت: 12 مرداد 1400، تاریخ بازنگری: 07 شهریور 1400، تاریخ پذیرش: 17 اردیبهشت 1401 | ||
| چکیده | ||
| In this work, we shall give an upper bound for Jensen’s inequality (for uniformly convex functions). Also, we introduce a refinement for the generalized $A-G-H$ inequality. Applying those results in information theory and obtain bounds for entropy. | ||
| کلیدواژه‌ها | ||
| Jensen’s inequality؛ Entropy؛ Arithmetic and geometric means؛ Uniformly convex function, $A-G-H$ inequality | ||
| مراجع | ||
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