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DOI	10.3390/fractalfract6020094
	Some Generalized Fractional Integral Inequalities for Convex Functions with Applications
	Zhao, Dafang; Ali, Muhammad Aamir; Promsakon, Chanon; Sitthiwirattham, Thanin
通讯作者	Ali, MA (通讯作者)，Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China. ; Sitthiwirattham, T (通讯作者)，Suan Dusit Univ, Fac Sci & Technol, Dept Math, Bangkok 10300, Thailand.
发表日期	2022
EISSN	2504-3110
卷号	6 期号:2
英文摘要	In this paper, we establish a generalized fractional integrals identity involving some parameters and differentiable functions. Then, we use the newly established identity and prove different generalized fractional integrals inequalities like midpoint inequalities, trapezoidal inequalities and Simpson's inequalities for differentiable convex functions. Finally, we give some applications of newly established inequalities in the context of quadrature formulas.
英文关键词	midpoint inequalities; trapezoid inequalities; Simpson's inequalities; fractional calculus; convex functions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000763053900001
来源期刊	FRACTAL AND FRACTIONAL
来源机构	中国科学院西北生态环境资源研究院
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/254905
作者单位	[Zhao, Dafang] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Hubei, Peoples R China; [Zhao, Dafang] Chinese Acad Sci, Northwest Inst Ecoenvironm & Resources, Lanzhou 730000, Peoples R China; [Ali, Muhammad Aamir] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China; [Promsakon, Chanon] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Math, Bangkok 10800, Thailand; [Sitthiwirattham, Thanin] Suan Dusit Univ, Fac Sci & Technol, Dept Math, Bangkok 10300, Thailand
推荐引用方式 GB/T 7714	Zhao, Dafang,Ali, Muhammad Aamir,Promsakon, Chanon,et al. Some Generalized Fractional Integral Inequalities for Convex Functions with Applications[J]. 中国科学院西北生态环境资源研究院,2022,6(2).
APA	Zhao, Dafang,Ali, Muhammad Aamir,Promsakon, Chanon,&Sitthiwirattham, Thanin.(2022).Some Generalized Fractional Integral Inequalities for Convex Functions with Applications.FRACTAL AND FRACTIONAL,6(2).
MLA	Zhao, Dafang,et al."Some Generalized Fractional Integral Inequalities for Convex Functions with Applications".FRACTAL AND FRACTIONAL 6.2(2022).