期刊信息
![](/web/statics/zr_qikan_img.jpg)
- 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
- 主办: 河北师范大学
- ISSN: 1000-5854
- CN: 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
区间调和h-凸函数的整合分数阶 Hermite-Hadamard型不等式
- (1.河海大学 理学院,江苏 南京 210098; 2.湖北师范大学 数学与统计学院,湖北 黄石 435002; 3.浙江广厦建设职业技术大学 建筑工程学院,浙江 东阳 322100)
-
DOI:
10.13763/j.cnki.jhebnu.nse.202301012
Conformable Fractional Integrals Hermite-Hadamard Type Inequalities for Interval-valued Harmonic h-convex Functions
摘要/Abstract
摘要:
利用区间整合分数阶积分以及调和h凸函数理论,得到了区间调和h凸函数整合分数阶积分的Hermite-Hadamard型不等式,推广了前人的研究结果.
Abstract:
In this paper,the Hermite-Hadamard type inequalities for the conformable fractional integrals of interval harmonic h-convex functions are obtained by using the theory of interval conformable fractional integrals and harmonic h-convex functions,which extends the previous research results.
关键词
参考文献 11
- [1] SARIKAYA M Z,SET E,YALDIZ H,et al.Hermite-Hadamard′s Inequalities for Fractional Integrals and Related Fractional Inequalities[J].Math Comput Model,2013,57(9/10):2403-2407.doi:10.1016/j.mcm.2011.12.048
- [2] BÜDAK H,TUNC T,SARIKAYA M Z.Fractional Hermite-Hadamard-type Inequalities for Interval-valued Functions[J].Proc Amer Math Soc,2020,148(2):705-718.doi:10.1090/proc/14741
- [3] 史芳芳,叶国菊,刘尉,等.区间值h-凸函数的整合分数阶积分 Hermite-Hadamard 型不等式[J].数学杂志,2021,41(3):227-236.doi:10.13548/j.sxzz.2021.03.005 SHI Fangfang,YE Guoju,LIU Wei,et al.Conformable Fractional Integrals Hermite-Hadamard Type Inequalities for Interval-valued Functions[J].J of Math,2021,41(3):227-236.doi:10.13548/j.sxzz.2021.03.005
- [4] SHI F F,YE G J,ZHAO D F,et al.Some Fractional Hermite-Hadamard Type Inequalities for Interval-valued Functions[J].Mathematics,2020,8(4):534-543.doi:10.3390/math8040534
- [5] LIU X L,ZHAO D F,Ye G J,et al.Fractional Hermite-Hadamard Type Inequalities for Interval-valued Functions[J].J Inequal Appl,2020,23(1):95-105.doi:10.1186/s13660-019-2217-1
- [6] ROMÁNFLORES H,CHALCO C Y,LODWICK W.Some Integral Inequalities for Interval-valued Functions[J].Comput Appl Math,2018,37(2):1306-1318.doi:10.1007/s40314-016-0396-7
- [7] MCKIERNAN M.On the n th Derivative of Composite Functions[J].Am Math Mon,1956,63(5):331-333.doi:10.2307/2310518
- [8] ZHAO D F,AN T Q,YE G J,et al.On Hermite-Hadamard Type Inequalities for Harmonical h-convex Interval-valued Functions[J].Math Inequal Appl,2020,23(1):95-105.doi:10.7153/mia-2020-23-08
- [9] ZHAO D F,AN T Q,YE G J,et al.New Jensen and Hermite-Hadamard Type Inequalities for h-convex Interval-valued Functions[J].J Inequal Appl,2018,302:1-14.doi:10.1186/s13660-018-1896-3
- [10] KHAN M B,NOOR M A,ABDELJAWAD T,et al.LR-preinvex Interval-valued Functions and Riemann-Liouville Fractional Integral Inequalities[J].Fractal and Fractional,2021,5(4):234-243.doi:10.3390/fractalfract5040243
- [11] SET E,AKDEMIR A O,MUMCM I.The Hermite-Hadamard′s Inequality and Its Extensions for Conformable Fraction Integrals of any Order[J].Creat Math Inf,2016,27:197- 206.doi:10.37193/cmi.2018.02.1