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Association of Jensen's inequality for s-convex function with Csiszar divergence

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成果类型:
期刊论文
作者:
Khan, Muhammad Adil;Hanif, Muhammad;Khan, Zareen Abdul Hameed;Ahmad, Khurshid;Chu, Yu-Ming*
通讯作者:
Chu, Yu-Ming
作者机构:
[Khan, Muhammad Adil; Hanif, Muhammad] Hunan City Univ, Coll Sci, Yiyang, Peoples R China.
[Khan, Muhammad Adil] Univ Peshawar, Dept Math, Peshawar, Pakistan.
[Khan, Zareen Abdul Hameed] Princess Nora Bint Abdulrahman Univ, Dept Math, Riyadh, Saudi Arabia.
[Ahmad, Khurshid] Islamia Coll Univ, Dept Stat, Peshawar, Pakistan.
[Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou, Peoples R China.
通讯机构:
[Chu, Yu-Ming] H
Huzhou Univ, Dept Math, Huzhou, Peoples R China.
语种:
英文
关键词:
Convex function;Csiszár divergence;Jensen’s inequality;s-convex function
期刊:
JOURNAL OF INEQUALITIES AND APPLICATIONS
ISSN:
1029-242X
年:
2019
卷:
2019
期:
1
页码:
162-
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61673169, 61374086, 11371125, 11401191]
机构署名:
本校为第一机构
院系归属:
理学院
摘要:
In the article, we establish an inequality for Csiszár divergence associated with s-convex functions, present several inequalities for Kullback–Leibler, Renyi, Hellinger, Chi-square, Jeffery’s, and variational distance divergences by using particular s-convex functions in the Csiszár divergence. We also provide ne...

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