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barsam, hasan, Sayyari, Yamin, ramezani, sayyed mehrab. (1402). Jensen inequality with Applications in Information Theory. , 8(40), 5-12. doi: 10.30495/jnrm.2023.62914.2168
hasan barsam; Yamin Sayyari; sayyed mehrab ramezani. "Jensen inequality with Applications in Information Theory". , 8, 40, 1402, 5-12. doi: 10.30495/jnrm.2023.62914.2168
barsam, hasan, Sayyari, Yamin, ramezani, sayyed mehrab. (1402). 'Jensen inequality with Applications in Information Theory', , 8(40), pp. 5-12. doi: 10.30495/jnrm.2023.62914.2168
barsam, hasan, Sayyari, Yamin, ramezani, sayyed mehrab. Jensen inequality with Applications in Information Theory. , 1402; 8(40): 5-12. doi: 10.30495/jnrm.2023.62914.2168

Jensen inequality with Applications in Information Theory

Journal of New Researches in Mathematics
دوره 8، شماره 40، مهر و آبان 2023، صفحه 5-12  XML اصل مقاله (239.56 K)
نوع مقاله: research paper
شناسه دیجیتال (DOI): 10.30495/jnrm.2023.62914.2168
نویسندگان
hasan barsam1؛ Yamin Sayyari email 2؛ sayyed mehrab ramezani3
1Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran
2Department of Mathematics, Sirjan University Of Technology, Sirjan, Iran
3Faculty of Technology and Mining, Yasouj University, Choram, Iran
چکیده
One of the best-known inequalities which are used in many inequities is Jensen’s inequality. It is a base of some inequality such as the arithmetic mean, harmonic mean inequality also in inequality with respect to entropies including Shannon’s inequality and information theory. One of the best fundamental inequality in mathematics is Jensen’s inequality. In fact, Jensen's inequality is a base of some inequality such as the arithmetic mean, harmonic mean inequality also in inequality with respect to entropies including Shannon’s inequality, Ky Fan’s inequality and etc. Recently, the generalizations and refinement for the Jensen inequality have been considered by many authors, it has been generalized to applications of information theory and etc. The purpose of this research article is to give a new interesting refinement of Jensen’s inequality form particular finite sequences. Also, we give some applications with respect to this inequality in information theory and other aspect of sciences.
کلیدواژه‌ها
Jensen&rsquo؛ s inequality؛ Means؛ Csiszá؛ r divergence؛ Global bounds؛ Shannon entropy
مراجع
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