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The concept of coordinate strongly convex functions and related inequalities

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成果类型:
期刊论文
作者:
Khan, Muhammad Adil*;Ullah, Syed Zaheer;Chu, Yu-Ming*
通讯作者:
Khan, Muhammad Adil;Chu, Yu-Ming
作者机构:
[Khan, Muhammad Adil] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.
[Khan, Muhammad Adil; Ullah, Syed Zaheer] Univ Peshawar, Dept Math, Peshawar, Pakistan.
[Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
通讯机构:
[Khan, Muhammad Adil; Chu, Yu-Ming] H
[Khan, Muhammad Adil] U
Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.
Univ Peshawar, Dept Math, Peshawar, Pakistan.
Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
语种:
英文
关键词:
Coordinate strongly convex function;Jensen’s inequality;Slater’s inequality
期刊:
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
ISSN:
1578-7303
年:
2019
卷:
113
期:
3
页码:
2235-2251
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61373169, 11701176, 11601485]; Science and Technology Research Program of Zhejiang Educational Committee [Y201635325]
机构署名:
本校为第一且通讯机构
院系归属:
理学院
摘要:
In this paper, we introduce a new class of functions known as coordinate strongly convex functions. We discuss the relation between strongly convex functions and coordinate strongly convex functions. Also, we present some natural properties of coordinate strongly convex functions. We present Slater’s, Jensen’s and converse of the Jensen inequalities in discrete as well as integral versions for coordinate strongly convex functions. Furthermore, we present Hermite–Hadamard’s typ...

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