The Hermite-Hadamard inequalities for p-convex functions

被引：12
|
作者：
Eken, Zeynep [1 ]
Kemali, Serap [2 ]
Tinaztepe, Gultekin [2 ]
Adilov, Gabil [1 ]
机构：
[1] Akdeniz Univ, Fac Educ, Antalya, Turkey
[2] Akdeniz Univ, Vocat Sch Tech Sci, Antalya, Turkey
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2021年 / 50卷 / 05期
关键词：
Hermite-Hadamard inequality; convex set; convex function; p-convex function;
D O I：
10.15672/hujms.775508
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the Hermite-Hadamard inequality for p-convex function is provided. Some integral inequalities for them are also presented. Also, based on the integral and double integral of p-convex sets, the new functions are defined and under certain conditions, p-convexity of these functions are shown. Some inequalities for these functions are ex-pressed.
引用
收藏
页码：1268 / 1279
页数：12
相关论文
共 50 条
  • [31] Hermite-Hadamard type inequalities for operator geometrically convex functions
    Taghavi, A.
    Darvish, V.
    Nazari, H. M.
    Dragomir, S. S.
    MONATSHEFTE FUR MATHEMATIK, 2016, 181 (01): : 187 - 203
  • [32] SOME QUANTUM ESTIMATES OF HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS
    Liu, Wenjun
    Zhuang, Hefeng
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (02): : 501 - 522
  • [33] HERMITE-HADAMARD INEQUALITIES FOR CONVEX SET-VALUED FUNCTIONS
    Mitroi, Flavia-Corina
    Nikodem, Kazimierz
    Wasowicz, Szymon
    DEMONSTRATIO MATHEMATICA, 2013, 46 (04) : 655 - 662
  • [34] Generalizations of Hermite-Hadamard Type Integral Inequalities for Convex Functions
    Wu, Ying
    Yin, Hong-Ping
    Guo, Bai-Ni
    AXIOMS, 2021, 10 (03)
  • [35] New discrete inequalities of Hermite-Hadamard type for convex functions
    Mohammed, Pshtiwan Othman
    Abdeljawad, Thabet
    Alqudah, Manar A.
    Jarad, Fahd
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [36] HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR GENERALIZED CONVEX FUNCTIONS
    Aslani, S. Mohammadi
    Delavar, M. Rostamian
    Vaezpour, S. M.
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2018, 9 (01): : 17 - 33
  • [37] HERMITE-HADAMARD TYPE INEQUALITIES FOR TRIGONOMETRICALLY P-FUNCTIONS
    Bekar, Kerim
    COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2019, 72 (11): : 1449 - 1457
  • [38] On Hermite-Hadamard Type Inequalities for Coordinated Convex Functions via (p,q)-Calculus
    Wannalookkhee, Fongchan
    Nonlaopon, Kamsing
    Tariboon, Jessada
    Ntouyas, Sotiris K.
    MATHEMATICS, 2021, 9 (07)
  • [39] Hermite-Hadamard type inequalities for higher-order convex functions and applications
    Van, Doan Thi Thuy
    Vu, Tran Minh
    Huy, Duong Quoc
    JOURNAL OF ANALYSIS, 2024, 32 (02): : 869 - 888
  • [40] New Conformable Fractional Integral Inequalities of Hermite-Hadamard Type for Convex Functions
    Mohammed, Pshtiwan Othman
    Hamasalh, Faraidun Kadir
    SYMMETRY-BASEL, 2019, 11 (02):
12345