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
  • [1] Exponential type convexity and some related inequalities
    Kadakal, Mahir
    Iscan, Imdat
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [2] Earthquake convexity and some new related inequalities
    Kadakal, Mahir
    Iscan, Imdat
    Kadakal, Huriye
    JOURNAL OF APPLIED ANALYSIS, 2024, 30 (01) : 63 - 73
  • [3] On the parameterized fractal integral inequalities and related applications
    Du, Tingsong
    Yuan, Xiaoman
    CHAOS SOLITONS & FRACTALS, 2023, 170
  • [4] On n-Polynomial convexity and some related inequalities
    Toplu, Tekin
    Kadakal, Mahir
    Iscan, Imdat
    AIMS MATHEMATICS, 2020, 5 (02): : 1304 - 1318
  • [5] SOME REMARKS ON (s, m)-CONVEXITY IN THE SECOND SENSE
    Eftekhari, Noha
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (03): : 489 - 495
  • [6] On Some Operator Inequalities with Respect to the s-Convexity
    Tarik, Lahcen
    Raissouli, Mustapha
    Chergui, Mohamed
    El Wahbi, Bouazza
    ACTA MATHEMATICA VIETNAMICA, 2023, 48 (04) : 671 - 690
  • [7] On Some Operator Inequalities with Respect to the s-Convexity
    Lahcen Tarik
    Mustapha Raïssouli
    Mohamed Chergui
    Bouazza El Wahbi
    Acta Mathematica Vietnamica, 2023, 48 : 671 - 690
  • [8] 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
  • [9] Operator Schur convexity and some integral inequalities
    Dragomir, Silvestru Sever
    LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (14) : 2733 - 2748
  • [10] GENERALISED FRACTIONAL HERMITE-HADAMARD INEQUALITIES INVOLVING m-CONVEXITY AND (s, m)-CONVEXITY
    Anastassiou, George A.
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2013, 28 (02): : 107 - 126