HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR THE CLASS OF STRONGLY CONVEX FUNCTIONS ON TIME SCALES

被引：5
|
作者：
Lai, Kin Keung
Bisht, Jaya
Sharma, Nidhi
Mishra, Shashi Kant
机构：
[1] School of Intelligent Systems Science and Engineering, Jinan University (Zhuhai Campus), Zhuhai
[2] Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2022年 / 16卷 / 03期
关键词：
Time scales; strongly convex functions; Hermite-Hadamard inequality; (?1; 2)-strongly convex functions; Holder?s integral inequality; CALCULUS;
D O I：
10.7153/jmi-2022-16-66
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the notion of a strongly convex function with respect to two non-negative auxiliary functions on time scales. We establish several new dynamic inequalities for these classes of strongly convex functions. The results obtained in this paper are the gener-alization of the results of Rashid et al. (Mathematics, 7 (10), 956, 2019). Further, we discuss some special cases which may be deduced from our main results. Moreover, some examples of our main results are mentioned.
引用
收藏
页码：975 / 991
页数：2
相关论文
共 50 条
  • [31] Fractional Integral Inequalities of Hermite-Hadamard Type for Differentiable Generalizedh-Convex Functions
    Yang, Yingxia
    Saleem, Muhammad Shoaib
    Ghafoor, Mamoona
    Qureshi, Muhammad Imran
    JOURNAL OF MATHEMATICS, 2020, 2020
  • [32] Integral Inequalities of Hermite-Hadamard Type for Extended s-Convex Functions and Applications
    Shuang, Ye
    Qi, Feng
    MATHEMATICS, 2018, 6 (11):
  • [33] Fractional Integral Inequalities of Hermite-Hadamard Type for Convex Functions With Respect to a Monotone Function
    Mohammed, Pshtiwan Othman
    FILOMAT, 2020, 34 (07) : 2401 - 2411
  • [34] SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR s-GEOMETRICALLY CONVEX FUNCTIONS
    Yin, Hong-Ping
    Wang, Jing-Yu
    Qi, Feng
    MISKOLC MATHEMATICAL NOTES, 2018, 19 (01) : 699 - 705
  • [35] Hermite-Hadamard Type Riemann-Liouville Fractional Integral Inequalities for Convex Functions
    Tomar, Muharrem
    Set, Erhan
    Sarikaya, M. Zeki
    INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016, 2016, 1726
  • [36] Hermite-Hadamard Type Inequalities for (α, m)-Geometrically Convex Functions
    Onalan, Havva Kavurmaci
    INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016, 2016, 1726
  • [37] Hermite-Hadamard type inequalities for the product of (α, m)-convex functions
    Yin, Hong-Ping
    Qi, Feng
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (03): : 231 - 236
  • [38] Hermite-Hadamard type inequalities for harmonically (α, m)-convex functions
    Iscan, Imdat
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 45 (02): : 381 - 390
  • [39] Hermite-Hadamard type inequalities for multiplicatively harmonic convex functions
    Ozcan, Serap
    Butt, Saad Ihsan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [40] ON SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR CERTAIN CONVEX FUNCTIONS
    Tunc, Mevlut
    PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2014, 15 (01): : 3 - 10
12345