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Some new local fractional inequalities associated with generalized (s, m) -convex functions and applications

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成果类型:
期刊论文
作者:
Abdeljawad, Thabet;Rashid, Saima;Hammouch, Zakia;Chu, Yu-Ming*
通讯作者:
Chu, Yu-Ming
作者机构:
[Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia.
[Abdeljawad, Thabet] China Med Univ Taiwan, Dept Med Res, Taichung, Taiwan.
[Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan.
[Rashid, Saima] Govt Coll Univ, Dept Math, Faisalabad, Pakistan.
[Hammouch, Zakia] Moulay Ismail Univ Meknes, Fac Sci & Tech, Errachidia, Morocco.
通讯机构:
[Chu, Yu-Ming] H
[Chu, Yu-Ming] C
Huzhou Univ, Dept Math, Huzhou, Peoples R China.
Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha, Peoples R China.
语种:
英文
关键词:
Generalized convex function;Generalized s-convex function;Hermite-Hadamard inequality;Simpson-type inequality;Generalized m-convex functions;Fractal sets;26E60
期刊:
Advances in Difference Equations
ISSN:
1687-1847
年:
2020
卷:
2020
期:
1
基金类别:
The work was supported by the Natural Science Foundation of China (Grant Nos. 11971142, 61673169, 11871202, 11701176, 11626101, 11601485). Acknowledgements Availability of data and materials
机构署名:
本校为通讯机构
摘要:
Fractal analysis is one of interesting research areas of computer science and engineering, which depicts a precise description of phenomena in modeling. Visual beauty and self-similarity has made it an attractive field of research. The fractal sets are the effective tools to describe the accuracy of the inequalities for convex functions. In this paper, we employ linear fractals Rα to investigate the (s, m) -convexity and relate them to derive generalized Hermite–Hadamard (HH) type inequalities and several other associated variants depending o...

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