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

被引:1
|
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
  • [31] Some new inequalities of Jensen's type for operator s-convex functions
    Shafiei, Marziyeh
    Ghazanfari, Amir Ghasem
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2018, 45 (01): : 50 - 65
  • [32] SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR s-CONVEX FUNCTIONS
    Mohammad W. Alomari
    Maslina Darus
    Ugur S. Kirmaci
    Acta Mathematica Scientia, 2011, 31 (04) : 1643 - 1652
  • [33] Generalized s-Convex Functions on Fractal Sets
    Mo, Huixia
    Sui, Xin
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [34] On Fejer type inequalities for products convex and s-convex functions
    Budak, Huseyin
    Bakis, Yonca
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2020, 65 (02): : 165 - 182
  • [35] Hermite-Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications
    Mehreen, Naila
    Anwar, Matloob
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
  • [36] KATUGAMPOLA FRACTIONAL PARAMETERIZED INEQUALITIES FOR S-CONVEX FUNCTION IN THE FOURTH SENSE
    Qi, Yongfang
    Li, Guoping
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2024, 32 (06)
  • [37] An extension of the Hermite–Hadamard inequality for convex and s-convex functions
    Péter Kórus
    Aequationes mathematicae, 2019, 93 : 527 - 534
  • [38] Inequalities for convex and s-convex functions on Δ = [a, b] × [c, d]
    Muhamet Emin Özdemir
    Havva Kavurmaci
    Ahmet Ocak Akdemir
    Merve Avci
    Journal of Inequalities and Applications, 2012
  • [39] Some new Hermite–Hadamard type inequalities for s-convex functions and their applications
    Serap Özcan
    İmdat İşcan
    Journal of Inequalities and Applications, 2019
  • [40] Some q-Symmetric Integral Inequalities Involving s-Convex Functions
    Nosheen, Ammara
    Ijaz, Sana
    Khan, Khuram Ali
    Awan, Khalid Mahmood
    Albahar, Marwan Ali
    Thanoon, Mohammed
    SYMMETRY-BASEL, 2023, 15 (06):