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DOI	10.3390/math10030444
	Some New Midpoint and Trapezoidal-Type Inequalities for General Convex Functions in q-Calculus
	Zhao, Dafang; Gulshan, Ghazala; Ali, Muhammad Aamir; Nonlaopon, Kamsing
通讯作者	Nonlaopon, K (通讯作者)，Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand.
发表日期	2022
EISSN	2227-7390
卷号	10 期号:3
英文摘要	The main objective of this study is to establish two important right q-integral equalities involving a right-quantum derivative with parameter m & ISIN;[0,1]. Then, utilizing these equalities, we derive some new variants for midpoint- and trapezoid-type inequalities for the right-quantum integral via differentiable (alpha,m)-convex functions. The fundamental benefit of these inequalities is that they may be transformed into q-midpoint- and q-trapezoid-type inequalities for convex functions, classical midpoint inequalities for convex functions and classical trapezoid-type inequalities for convex functions are transformed without having to prove each one independently. In addition, we present some applications of our results to special means of positive real numbers. It is expected that the ideas and techniques may stimulate further research in this field.
关键词	HERMITE-HADAMARD INEQUALITIES DIFFERENTIABLE MAPPINGS REAL NUMBERS QUANTUM
英文关键词	midpoint inequalities; trapezoid inequalities; quantum calculus; (a, m)-convex functions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000757390200001
来源期刊	MATHEMATICS
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/254504
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; [Gulshan, Ghazala] Mirpur Univ Sci & Technol MUST, Fac Sci, Dept Math, Mirpur 10250, Pakistan; [Ali, Muhammad Aamir] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China; [Nonlaopon, Kamsing] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand
推荐引用方式 GB/T 7714	Zhao, Dafang,Gulshan, Ghazala,Ali, Muhammad Aamir,et al. Some New Midpoint and Trapezoidal-Type Inequalities for General Convex Functions in q-Calculus[J]. 中国科学院西北生态环境资源研究院,2022,10(3).
APA	Zhao, Dafang,Gulshan, Ghazala,Ali, Muhammad Aamir,&Nonlaopon, Kamsing.(2022).Some New Midpoint and Trapezoidal-Type Inequalities for General Convex Functions in q-Calculus.MATHEMATICS,10(3).
MLA	Zhao, Dafang,et al."Some New Midpoint and Trapezoidal-Type Inequalities for General Convex Functions in q-Calculus".MATHEMATICS 10.3(2022).