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
来源：
MATHEMATICS | 2023年 / 11卷 / 05期
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
  • [21] SOME INTEGRAL INEQUALITIES OF (s, p)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
    Mehreen, N.
    Anwar, M.
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 14 (03): : 411 - 435
  • [22] SOME k-FRACTIONAL INTEGRAL INEQUALITIES FOR p-CONVEX FUNCTIONS
    Mehreen, Naila
    Anwar, Matloob
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2024, 48 (01): : 25 - 39
  • [23] SIMPSON TYPE QUANTUM INTEGRAL INEQUALITIES FOR CONVEX FUNCTIONS
    Tunc, M.
    Gov, E.
    Balgecti, S.
    MISKOLC MATHEMATICAL NOTES, 2018, 19 (01) : 649 - 664
  • [24] On some Pachpatte integral inequalities involving convex functions
    Kim, YH
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2001, 77 (10) : 164 - 167
  • [25] Some Integral Inequalities for s-Convex Functions
    Shuang, Ye
    Qi, Feng
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2018, 31 (04): : 1192 - 1200
  • [26] ON SOME INTEGRAL INEQUALITIES FOR (s, m)-CONVEX FUNCTIONS
    Bayraktar, B.
    Gurbuz, M.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 (02): : 288 - 295
  • [27] Some Integral Inequalities for Harmonically (α,s)-Convex Functions
    Ozcan, Serap
    JOURNAL OF FUNCTION SPACES, 2019, 2019
  • [28] Some Generalized Integral Inequalities for Convex Functions and Applications
    Sarikaya, Mehmet Zeki
    Tunc, Tuba
    Yildiz, Mustafa Kemal
    INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016, 2016, 1726
  • [29] Some (p, q)-Integral Inequalities of Hermite-Hadamard Inequalities for (p, q)-Differentiable Convex Functions
    Luangboon, Waewta
    Nonlaopon, Kamsing
    Tariboon, Jessada
    Ntouyas, Sotiris K.
    Budak, Huseyin
    MATHEMATICS, 2022, 10 (05)
  • [30] Some Generalizations of Different Types of Quantum Integral Inequalities for Differentiable Convex Functions with Applications
    Zhao, Dafang
    Ali, Muhammad Aamir
    Luangboon, Waewta
    Budak, Huseyin
    Nonlaopon, Kamsing
    FRACTAL AND FRACTIONAL, 2022, 6 (03)
12345