Some parameterized inequalities related to (s, m)-convexity and their applications

被引：0
作者：
Hu, Gou [1 ]
Lei, Hui [1 ]
Du, Tingsong [1 ]
机构：
[1] China Three Gorges Univ, Coll Sci, Dept Math, Yichang 443002, Peoples R China
来源：
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2021年 / 46期
关键词：
Hermite-Hadamard inequality; Simpson inequality; (s; m)-convex functions; HERMITE-HADAMARD TYPE; S-CONVEX; DERIVATIVES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By introducing multi-parameters, the authors establish an integral identity for a mapping whose second derivative is integrable, present several integral inequalities of the Hadamard-Simpson type involving (s, m)-convexity, and apply these inequalities to the special means.
引用
收藏
页码：314 / 329
页数：16
相关论文
共 50 条
  • [31] NEW JENSEN-TYPE INTEGRAL INEQUALITIES VIA MODIFIED (h, m)-CONVEXITY AND THEIR APPLICATIONS
    Bayraktar, B.
    Korus, P.
    Valdes, J. E. Napoles
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2023, 92 (03): : 213 - 223
  • [32] Some Simpson-like Inequalities Involving the (s,m)-Preinvexity
    Chiheb, Tarek
    Meftah, Badreddine
    Moumen, Abdelkader
    Mesmouli, Mouataz Billah
    Bouye, Mohamed
    SYMMETRY-BASEL, 2023, 15 (12):
  • [33] Some inequalities for functions having Orlicz-convexity
    Cristescu, Gabriela
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Awan, Muhammad Uzair
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 : 226 - 236
  • [34] SOME INEQUALITIES FOR RECIPROCALLY (s, m)-CONVEX IN THE SECOND SENSE FUNCTIONS AND APPLICATIONS TO SPECIAL MEANS
    Bracamonte, Mireya R.
    Medina-Viloria, Jesus
    Vivas-Cortez, Miguel
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (02): : 483 - 500
  • [35] ON SOME INTEGRAL INEQUALITIES VIA h-CONVEXITY
    Tunc, Mevlut
    MISKOLC MATHEMATICAL NOTES, 2013, 14 (03) : 1041 - 1057
  • [36] Some new local fractional inequalities associated with generalized (s,m)-convex functions and applications
    Abdeljawad, Thabet
    Rashid, Saima
    Hammouch, Zakia
    Chu, Yu-Ming
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01):
  • [37] Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications
    Talha, Muhammad Sadaqat
    Kashuri, Artion
    Sahoo, Soubhagya Kumar
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2024, 21 (03): : 323 - 359
  • [38] 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
  • [39] THE SIMPSON-TYPE INTEGRAL INEQUALITIES INVOLVING TWICE LOCAL FRACTIONAL DIFFERENTIABLE GENERALIZED (s,P)-CONVEXITY AND THEIR APPLICATIONS
    Zhou, Yunxiu
    Du, Tingsong
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (05)
  • [40] THE PARAMETERIZED INTEGRAL INEQUALITIES INVOLVING TWICE-DIFFERENTIABLE GENERALIZED n-POLYNOMIAL CONVEXITY UNDER THE FRAMEWORK OF FRACTAL DOMAINS AND ITS APPLICATIONS
    Du, Tingsong
    Xu, Lei
    Yuan, Xiaoman
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (07)
12345