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DOI	10.3390/fractalfract6030129
	Some Generalizations of Different Types of Quantum Integral Inequalities for Differentiable Convex Functions with Applications
	Zhao, Dafang; Ali, Muhammad Aamir; Luangboon, Waewta; Budak, Huseyin; Nonlaopon, Kamsing
通讯作者	Nonlaopon, K (通讯作者)，Khon Kaen Univ, Fac Sci & Arts, Dept Math, Khon Kaen 40002, Thailand.
发表日期	2022
EISSN	2504-3110
卷号	6 期号:3
英文摘要	In this paper, we prove a new quantum integral equality involving a parameter, left and right quantum derivatives. Then, we use the newly established equality and prove some new estimates of quantum Ostrowski, quantum midpoint, quantum trapezoidal and quantum Simpson's type inequalities for q-differentiable convex functions. It is also shown that the newly established inequalities are the refinements of the existing inequalities inside the literature. Finally, some examples and applications are given to illustrate the investigated results.
关键词	HERMITE-HADAMARD INEQUALITIES MIDPOINT TYPE INEQUALITIES (ALPHA
英文关键词	midpoint inequalities; trapezoidal inequalities; Ostrowski's inequalities; Simpson's inequalities; quantum calculus; convex functions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000776508900001
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/254995
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; [Luangboon, Waewta; Nonlaopon, Kamsing] Khon Kaen Univ, Fac Sci & Arts, Dept Math, Khon Kaen 40002, Thailand; [Budak, Huseyin] Duzce Univ, Fac Sci & Arts, Dept Math, TR-81620 Duzce, Turkey
推荐引用方式 GB/T 7714	Zhao, Dafang,Ali, Muhammad Aamir,Luangboon, Waewta,et al. Some Generalizations of Different Types of Quantum Integral Inequalities for Differentiable Convex Functions with Applications[J]. 中国科学院西北生态环境资源研究院,2022,6(3).
APA	Zhao, Dafang,Ali, Muhammad Aamir,Luangboon, Waewta,Budak, Huseyin,&Nonlaopon, Kamsing.(2022).Some Generalizations of Different Types of Quantum Integral Inequalities for Differentiable Convex Functions with Applications.FRACTAL AND FRACTIONAL,6(3).
MLA	Zhao, Dafang,et al."Some Generalizations of Different Types of Quantum Integral Inequalities for Differentiable Convex Functions with Applications".FRACTAL AND FRACTIONAL 6.3(2022).