New (p, q)-estimates for different types of integral inequalities via (α, m)-convex mappings

被引：7
作者：
Kalsoom, Humaira [3 ]
Latif, Muhammad Amer [4 ]
Rashid, Saima [5 ]
Baleanu, Dumitru [6 ]
Chu, Yu-Ming [1 ,2 ]
机构：
[1] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[2] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410014, Peoples R China
[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[4] King Faisal Univ, Dept Basic Sci, Deanship Preparatory Year, Hofuf Al Hasa 31982, Saudi Arabia
[5] Govt Coll Univ, Dept Math, Faisalabad 38000, Pakistan
[6] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey
来源：
OPEN MATHEMATICS | 2020年 / 18卷
关键词：
(p; q)-quantum calculus; Hermite-Hadamard inequality; Simpson's type inequality; (alpha; m)-convex functions; HERMITE-HADAMARD TYPE; MIDPOINT TYPE INEQUALITIES; CONVEX-FUNCTIONS; REFINEMENTS;
D O I：
10.1515/math-2020-0114
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the article, we present a new (p, q)-integral identity for the first-order (p, q)-differentiable functions and establish several new (p, q)-quantum error estimations for various integral inequalities via (a alpha, m)-convexity. We also compare our results with the previously known results and provide two examples to show the superiority of our obtained results.
引用
收藏
页码：1830 / 1854
页数：25
相关论文
共 68 条
  • [1] Abdeljawad T, 2020, ADV DIFFER EQU-NY, V2020, DOI 10.1186/s13662-020-02865-w
  • [2] On new fractional integral inequalities forp-convexity within interval-valued functions
    Abdeljawad, Thabet
    Rashid, Saima
    Khan, Hasib
    Chu, Yu-Ming
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [3] Better Approaches forn-Times Differentiable Convex Functions
    Agarwal, Praveen
    Kadakal, Mahir
    Iscan, Imdat
    Chu, Yu-Ming
    [J]. MATHEMATICS, 2020, 8 (06)
  • [4] Alomari M., 2009, RGMIA Res. Rep. Collect, V12, P1
  • [5] q-Hermite Hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functions
    Alp, Necmettin
    Sarikaya, Mehmet Zeki
    Kunt, Mehmet
    Iscan, Imdat
    [J]. JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2018, 30 (02) : 193 - 203
  • [6] Some Trapezium-Like Inequalities Involving Functions Having Strongly n-Polynomial Preinvexity Property of Higher Order
    Awan, Muhammad Uzair
    Talib, Sadia
    Noor, Muhammad Aslam
    Chu, Yu-Ming
    Noor, Khalida Inayat
    [J]. JOURNAL OF FUNCTION SPACES, 2020, 2020
  • [7] Estimates of quantum bounds pertaining to new q-integral identity with applications
    Awan, Muhammad Uzair
    Talib, Sadia
    Kashuri, Artion
    Noor, Muhammad Aslam
    Chu, Yu-Ming
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [8] 2D approximately reciprocal ρ-convex functions and associated integral inequalities
    Awan, Muhammad Uzair
    Akhtar, Nousheen
    Kashuri, Artion
    Noor, Muhammad Aslam
    Chu, Yu-Ming
    [J]. AIMS MATHEMATICS, 2020, 5 (05): : 4662 - 4680
  • [9] Some New Refinements of Hermite-Hadamard-Type Inequalities Involving ψk-Riemann-Liouville Fractional Integrals and Applications
    Awan, Muhammad Uzair
    Talib, Sadia
    Chu Yu-Ming
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [10] A variant of Jensen-type inequality and related results for harmonic convex functions
    Baloch, Imran Abbas
    Mughal, Aqeel Ahmad
    Chu, Yu-Ming
    Ul Haq, Absar
    De La Sen, Manuel
    [J]. AIMS MATHEMATICS, 2020, 5 (06): : 6404 - 6418
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