A New Inequality on Jain-Saraswat's Divergence for S-Convex Functions

被引:0
作者
Chhabra, Praphull [1 ]
机构
[1] Univ Engn & Management, Dept Math & Stat, Jaipur, Rajasthan, India
来源
CONTEMPORARY MATHEMATICS | 2024年 / 5卷 / 01期
关键词
s-convex function; discrete probability distributions; new inequality; mlogarithmic power mean; identric mean; mathematical verification; INFORMATION INEQUALITIES; F-DIVERGENCE; TERMS; SETS;
D O I
10.37256/cm.5120243095
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, a new inequality on Jain-Saraswat divergence measure is investigated for s-convex functions, which includes convex functions as a special case. Further, by using this inequality, some special results have also been derived in terms of the different divergences, at distinct values of s. Numerical verification of these results has also been discussed.
引用
收藏
页码:465 / 477
页数:13
相关论文
共 39 条
  • [1] RETRACTED: A novel and powerful framework based on neutrosophic sets to aid patients with cancer (Retracted Article)
    Abdel-Basset, Mohamed
    Mohamed, Mai
    [J]. FUTURE GENERATION COMPUTER SYSTEMS-THE INTERNATIONAL JOURNAL OF ESCIENCE, 2019, 98 : 144 - 153
  • [2] Bregman L, 1967, USSR Comput. Math. Math. Phys., V7, P200, DOI [DOI 10.1016/0041-5553(67)90040-7, 10.1016/0041-5553(67)90040-7]
  • [3] ON THE CONVEXITY OF SOME DIVERGENCE MEASURES BASED ON ENTROPY FUNCTIONS
    BURBEA, J
    RAO, CR
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1982, 28 (03) : 489 - 495
  • [4] New convex functions in linear spaces and Jensen's discrete inequality
    Chen, Xiusu
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [5] Csiszar I., 1967, Stud Sci Math Hungar, V2, P299
  • [6] Dacunha Castelle D, 1978, Ecoled'Ete de Probabilites de Saint Flour VII-1977
  • [7] Dragomir S., 2000, TAMSUI OXFORD J MATH, V16, P295
  • [8] Dragomir SS, 2001, INEQUALITY THEORY AND APPLICATIONS, VOL 1, P139
  • [9] A New Fuzzy Information Inequalities and its Applications in Establishing Relation among Fuzzy f-Divergence Measures
    Gahlot, Sapna
    Saraswat, Ram Naresh
    [J]. TAMKANG JOURNAL OF MATHEMATICS, 2022, 53 (02): : 109 - 126
  • [10] Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment
    Garg, Harish
    Nancy
    [J]. SYMMETRY-BASEL, 2018, 10 (07):