SOME GENERATOR FUNCTIONS FOR s-CONVEX FUNCTIONS IN THE FOURTH SENSE

被引:2
|
作者
Kemali, Serap [1 ]
机构
[1] Akdeniz Univ, Vocat Sch Tech Sci, Antalya, Turkey
来源
JOURNAL OF MATHEMATICAL INEQUALITIES | 2022年 / 16卷 / 03期
关键词
Convex functions; s-convex functions in the fourth sense; Hermite-Hadamard inequality; generator functions; HADAMARD TYPE INEQUALITIES;
D O I
10.7153/jmi-2022-16-80
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, some generator functions for s-convex functions in the fourth sense and some of their properties are studied. As application examples, some special mean relations and the inequalities involving beta and digamma functions are obtained throught some of the properties.
引用
收藏
页码:1201 / 1214
页数:14
相关论文
共 50 条
  • [1] Some integral inequalities for the product of s-convex functions in the fourth sense
    Kemali, Serap
    Evcan, Sinem Sezer
    Isik, Ilknur Yesilce
    Adilov, Gabil
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 103 - 116
  • [2] FEJER INEQUALITY FOR s-CONVEX FUNCTIONS IN THE FOURTH SENSE
    Eken, Zeynep
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2022, 16 (01): : 19 - 34
  • [3] s-CONVEX FUNCTIONS IN THE THIRD SENSE
    Kemali, Serap
    Sezer, Sevda
    Tinaztepe, Gultekin
    Adilov, Gabil
    KOREAN JOURNAL OF MATHEMATICS, 2021, 29 (03): : 593 - 602
  • [4] The Ostrowski inequality for s-convex functions in the third sense
    Tinaztepe, Gultekin
    Sezer, Sevda
    Eken, Zeynep
    Evcan, Sinem Sezer
    AIMS MATHEMATICS, 2022, 7 (04): : 5605 - 5615
  • [5] Some Inequalities for Generalized s-Convex Functions in the Second Sense on Fractal Sets
    Set, Erhan
    Gozpinar, Abdurrahman
    INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016, 2016, 1726
  • [6] MORE ON OSTROWSKI TYPE INEQUALITIES FOR SOME S-CONVEX FUNCTIONS IN THE SECOND SENSE
    Liu, Zheng
    DEMONSTRATIO MATHEMATICA, 2016, 49 (04) : 398 - 412
  • [7] Some Integral Inequalities for s-Convex Functions
    Shuang, Ye
    Qi, Feng
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2018, 31 (04): : 1192 - 1200
  • [8] On some inequalities for s-convex functions and applications
    Muhamet Emin Özdemir
    Çetin Yıldız
    Ahmet Ocak Akdemir
    Erhan Set
    Journal of Inequalities and Applications, 2013
  • [9] On some inequalities for s-convex functions and applications
    Ozdemir, Muhamet Emin
    Yildiz, Cetin
    Akdemir, Ahmet Ocak
    Set, Erhan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [10] On some characterizations of generalized s-convex functions
    Akhter, Ehtesham
    Ali, Musavvir
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2025,