期刊信息
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- 刊名: 河北师范大学学报(哲学社会科学版)Journal of Hebei Normal University (Philosophy and Social Sciences Edition)
- 主办: 河北师范大学
- ISSN: 1000-5587
- CN: 13-1029/C
- 该刊被以下数据库收录:
- AMI综合评价(A刊)核心期刊
- RCCSE中国核心学术期刊
- 中国期刊方阵入选期刊
- 全国百强社会科学学报
- 中国人民大学“复印报刊资料”重要转载来源期刊
区间调和h-凸函数的整合分数阶 Hermite-Hadamard型不等式
收稿日期:
2022-6-19
-
作者单位:
(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) -
起止页码:
337 - 347页
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