HERMITE-HADAMARD INEQUALITY FOR A CERTAIN CLASS OF CONVEX FUNCTIONS ON TIME SCALES

被引:3
|
作者
Fagbemigun, B. O. [1 ]
Mogbademu, A. A. [1 ]
Olaleru, J. O. [1 ]
机构
[1] Univ Lagos, Dept Math, Lagos, Nigeria
来源
HONAM MATHEMATICAL JOURNAL | 2022年 / 44卷 / 01期
关键词
Time scales; Hermite-Hadamard inequality; F-h-convex functions; diamond-F-h dynamics; Euler-Langrange Equation;
D O I
10.5831/HMJ.2022.44.1.17
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The Hermite-Hadamard integral inequality for F-h-convex functions on time scales is established. The applicability of our results ranges from Optimization problems to Calculus of Variations and to Economics. Application to the Calculus of Variations on time scales is discussed.
引用
收藏
页码:17 / 25
页数:9
相关论文
共 50 条
  • [21] On a certain stability of the Hermite-Hadamard inequality
    Hazy, Attila
    Pales, Zsolt
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2009, 465 (2102): : 571 - 583
  • [22] Certain Hermite-Hadamard Inequalities for Logarithmically Convex Functions with Applications
    Jain, Shilpi
    Mehrez, Khaled
    Baleanu, Dumitru
    Agarwal, Praveen
    MATHEMATICS, 2019, 7 (02)
  • [23] A Weighted Hermite Hadamard Inequality for Steffensen-Popoviciu and Hermite-Hadamard Weights on Time Scales
    Dinu, Cristian
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2009, 17 (01): : 77 - 90
  • [24] Hermite-Hadamard inequality for preinvex functions
    Iqbal, Akhlad
    Saleh, Khairul
    Ahmad, Izhar
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (50): : 294 - 302
  • [25] Hermite-Hadamard inequality for convex stochastic processes
    Kotrys, Dawid
    AEQUATIONES MATHEMATICAE, 2012, 83 (1-2) : 143 - 151
  • [26] HERMITE-HADAMARD (HH) INTEGRAL INEQUALITY FOR m-CONVEX FUNCTIONS
    Asadi, Mehdi
    Amirbostaghi, Gholamhossein
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (08) : 1537 - 1544
  • [27] The Hermite-Hadamard inequality for s-Convex functions in the third sense
    Sezer, Sevda
    AIMS MATHEMATICS, 2021, 6 (07): : 7719 - 7732
  • [28] On Hermite-Hadamard inequality for -convex stochastic processes
    Li, Libo
    Hao, Zhiwei
    AEQUATIONES MATHEMATICAE, 2017, 91 (05) : 909 - 920
  • [29] A NOTE ON THE HERMITE-HADAMARD INEQUALITY FOR CONVEX FUNCTIONS ON THE CO-ORDINATES
    Chen, Feixiang
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (04): : 915 - 923
  • [30] EXTENSIONS OF THE HERMITE-HADAMARD INEQUALITY FOR CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
    Chen, Feixiang
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (01): : 75 - 81