Some Quantum Integral Inequalities for (p, h)-Convex Functions

被引:0
|
作者
Kantalo, Jirawat [1 ]
Wannalookkhee, Fongchan [2 ]
Nonlaopon, Kamsing [2 ]
Budak, Huseyin [3 ]
机构
[1] Sakon Nakhon Rajabhat Univ, Fac Sci & Technol, Dept Math & Stat, Sakon Nakhon 47000, Thailand
[2] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand
[3] Duzce Univ, Fac Sci & Arts, Dept Math, TR-81620 Duzce, Turkiye
关键词
Hermite-Hadamard inequality; (p; h)-convex function; q-derivative; q-integral; q-calculus;
D O I
10.3390/math11051072
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we derive an identity of the q-definite integral of a continuous function f on a finite interval. We then use such identity to prove some new quantum integral inequalities for (p,h)-convex function. The results obtained in this paper generalize previous work in the literature.
引用
收藏
页数:14
相关论文
共 50 条
  • [41] Refinements of Some Integral Inequalities for (s, m)-Convex Functions
    Farid, Ghulam
    Chu, Yu-Ming
    Andric, Maja
    Jung, Chahn Yong
    Pecaric, Josip
    Kang, Shin Min
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [42] Some Riemann–Liouville fractional integral inequalities for convex functions
    Ghulam Farid
    The Journal of Analysis, 2019, 27 : 1095 - 1102
  • [43] Some new integral inequalities for (s, m)-convex and (α, m)-convex functions
    Bayraktar, B.
    Kudaev, V. Ch.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2019, 94 (02): : 15 - 25
  • [44] SOME NEW FRACTIONAL INTEGRAL INEQUALITIES FOR (h1, h2)-CONVEX FUNCTIONS
    Han, Xiaoyue
    Xu, Run
    MATHEMATICAL FOUNDATIONS OF COMPUTING, 2025, 8 (01): : 89 - 112
  • [45] New integral inequalities in the class of functions ( h, m )-convex
    Napoles, J. E.
    Guzman, P. M.
    Bayraktar, B.
    IZVESTIYA OF SARATOV UNIVERSITY MATHEMATICS MECHANICS INFORMATICS, 2024, 24 (02): : 173 - 183
  • [46] Integral Inequalities for Differentiable p-Harmonic Convex Functions
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Iftikhar, Sabah
    FILOMAT, 2017, 31 (20) : 6575 - 6584
  • [47] Some new Hermite-Hadamard type inequalities for h-convex functions via quantum integral on finite intervals
    Yang, Limin
    Yang, Ruiyun
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2018, 18 (01): : 74 - 86
  • [48] Some integral inequalities for coordinated log-h-convex interval-valued functions
    Shi, Fangfang
    Ye, Guoju
    Zhao, Dafang
    Liu, Wei
    AIMS MATHEMATICS, 2022, 7 (01): : 156 - 170
  • [49] Some quantum integral inequalities via preinvex functions
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Awan, Muhammad Uzair
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 269 : 242 - 251
  • [50] Hermite–Hadamard integral inequalities on coordinated convex functions in quantum calculus
    Manar A. Alqudah
    Artion Kashuri
    Pshtiwan Othman Mohammed
    Thabet Abdeljawad
    Muhammad Raees
    Matloob Anwar
    Y. S. Hamed
    Advances in Difference Equations, 2021