On an implicit convexity concept and some integral inequalities

被引：10
|
作者：
Samet, Bessem [1 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年
关键词：
F-convex; integral inequalities;
D O I：
10.1186/s13660-016-1253-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a new concept of convexity that depends on a function F : R x R x R x (0, 1) -> R satisfying certain axioms. The presented concept generalizes many kinds of convexity including epsilon-convex functions, alpha-convex functions, and h-convex functions. Moreover, some integral inequalities are provided via our notion of convexity.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] On an implicit convexity concept and some integral inequalities
    Bessem Samet
    [J]. Journal of Inequalities and Applications, 2016
  • [2] Operator Schur convexity and some integral inequalities
    Dragomir, Silvestru Sever
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (14): : 2733 - 2748
  • [3] ON SOME INTEGRAL INEQUALITIES VIA h-CONVEXITY
    Tunc, Mevlut
    [J]. MISKOLC MATHEMATICAL NOTES, 2013, 14 (03) : 1041 - 1057
  • [4] Some integral inequalities via new generalized harmonically convexity
    Baidar, Abdul Wakil
    Sanli, Zeynep
    Kunt, Mehmet
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (16) : 17226 - 17241
  • [5] SYMMETRIZED p-CONVEXITY AND RELATED SOME INTEGRAL INEQUALITIES
    Iscan, Imdat
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 (04): : 1036 - 1048
  • [6] Symmetrized GA-convexity and Related Some Integral Inequalities
    Iscan, Imdat
    [J]. FILOMAT, 2019, 33 (13) : 4121 - 4136
  • [7] Some integral inequalities via (h - (α, m))-logarithmically convexity
    Chen, Jianhua
    Huang, Xianjiu
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (02) : 374 - 380
  • [8] Generalized convexity and integral inequalities
    Dragomir, Silvestru
    Jleli, Mohamed
    Samet, Bessem
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020,
  • [9] Some fractional integral inequalities of type Hermite–Hadamard through convexity
    Shahid Qaisar
    Jamshed Nasir
    Saad Ihsan Butt
    Asma Asma
    Farooq Ahmad
    Muhammad Iqbal
    Sajjad Hussain
    [J]. Journal of Inequalities and Applications, 2019
  • [10] Vectorial fractional integral inequalities with convexity
    Anastassiou, George A.
    [J]. CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2013, 11 (10): : 1194 - 1211
12345