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
  • [41] HERMITE-HADAMARD TYPE INEQUALITIES FOR CONFORMABLE INTEGRALS VIA η-CONVEX FUNCTIONS
    Khurshid, Yousaf
    Khan, Muhammad Adil
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (01): : 77 - 90
  • [42] New Hermite-Hadamard type Inequalities for Harmonically-Convex Functions
    Latif, Muhammad Amer
    Hussain, Sabir
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (06): : 1 - 16
  • [43] Hermite-Hadamard type inequalities for multiplicatively p-convex functions
    Serap Özcan
    Journal of Inequalities and Applications, 2023
  • [44] The Hermite-Hadamard inequalities for p-convex functions
    Eken, Zeynep
    Kemali, Serap
    Tinaztepe, Gultekin
    Adilov, Gabil
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (05): : 1268 - 1279
  • [45] Hermite-Hadamard type inequalities for multiplicatively p-convex functions
    Ozcan, Serap
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [46] Mappings related to Hermite-Hadamard type inequalities for harmonically convex functions
    Latif, Muhammad Amer
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2022, 54 (11): : 665 - 678
  • [47] Sharp integral inequalities of the Hermite-Hadamard type
    Guessab, A
    Schmeisser, G
    JOURNAL OF APPROXIMATION THEORY, 2002, 115 (02) : 260 - 288
  • [48] HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR HARMONICALLY RELATIVE PREINVEX FUNCTIONS
    Afzal, Sadia
    Hussain, Sabir
    Latif, Muhammad Amer
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2020, 52 (03): : 75 - 97
  • [49] On Hermite-Hadamard Type Inequalities for Coordinated Convex Functions via (p,q)-Calculus
    Wannalookkhee, Fongchan
    Nonlaopon, Kamsing
    Tariboon, Jessada
    Ntouyas, Sotiris K.
    MATHEMATICS, 2021, 9 (07)
  • [50] HERMITE-HADAMARD INEQUALITIES OF CONFORMABLE FRACTIONAL INTEGRALS FOR STRONGLY H-CONVEX FUNCTIONS
    Xia, Shengze
    Xing, Yi
    Wan, Jianan
    Lu, Jiaying
    Ruan, Jianmiao
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (06): : 3610 - 3638
12345