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
  • [41] The Hermite-Hadamard Type Inequality of GA-Convex Functions and Its Application
    Xiao-Ming Zhang
    Yu-Ming Chu
    Xiao-Hui Zhang
    Journal of Inequalities and Applications, 2010
  • [42] Some estimates on the Hermite-Hadamard inequality through quasi-convex functions
    Ion, Daniel Alexandru
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2007, 34 : 83 - 88
  • [43] An extension of the Hermite-Hadamard inequality for a power of a convex function
    Sayyari, Yamin
    Dehghanian, Mehdi
    Park, Choonkil
    Paokanta, Siriluk
    OPEN MATHEMATICS, 2023, 21 (01):
  • [44] On a Generalization of the Hermite-Hadamard Inequality and Applications in Convex Geometry
    Gonzalez Merino, Bernardo
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (05)
  • [45] SOME ESTIMATES ON THE HERMITE-HADAMARD INEQUALITY THROUGH GEOMETRICALLY QUASI-CONVEX FUNCTIONS
    Latif, M. A.
    Dragomir, Sever S.
    Momoniat, E.
    MISKOLC MATHEMATICAL NOTES, 2017, 18 (02) : 933 - 946
  • [46] A NOTE ON CHARACTERIZATION OF h-CONVEX FUNCTIONS VIA HERMITE-HADAMARD TYPE INEQUALITY
    Delavar, M. Rostamian
    Dragomir, S. S.
    De La Sen, M.
    PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2019, 8 (02): : 28 - 36
  • [47] SOME NEW BOUNDS FOR TWO MAPPINGS RELATED TO THE HERMITE-HADAMARD INEQUALITY FOR CONVEX FUNCTIONS
    Dragomir, S. S.
    Gomm, I.
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2012, 2 (02): : 271 - 278
  • [48] Estimates of Hermite-Hadamard Inequality for Twice Differentiable Harmonically-Convex Functions with Applications
    Latif, Muhammad Amer
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2018, 50 (01): : 1 - 13
  • [49] On Quantum Hermite-Hadamard Inequalities for Differentiable Convex Functions
    Kara, Hasan
    Ali, Muhammad
    Budak, Huseyin
    FILOMAT, 2022, 36 (05) : 1477 - 1486
  • [50] The Hermite-Hadamard inequalities for p-convex functions
    Eken, Zeynep
    Kemali, Serap
    Tinaztepe, Gultekin
    Adilov, Gabil
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (05): : 1268 - 1279