On some new generalized fractional Bullen-type inequalities with applications

被引：2
|
作者：
Hussain, Sabir [1 ]
Rafeeq, Sobia [2 ]
Chu, Yu-Ming [3 ,4 ]
Khalid, Saba [1 ]
Saleem, Sahar [1 ]
机构：
[1] Univ Engn & Technol, Dept Math, Lahore 54890, Pakistan
[2] Univ Lahore, Dept Math & Stat, Lahore 54590, Pakistan
[3] Hangzhou Normal Univ, Inst Adv Study Honoring Chen Jian Gong, Hangzhou 311121, Peoples R China
[4] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2022年 / 2022卷 / 01期
关键词：
Bullen's inequality; Fractional integrals; p-convex function; f-divergence measure; LIMIT-CYCLES; HADAMARD;
D O I：
10.1186/s13660-022-02878-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a Bullen-type generalized fractional integral identity for the differentiable functions and derive some new estimates for the Bullen-type fractional integral inequalities via the Raina fractional integrals. Further examples are given to indicate the validity of obtained results. Lastly, some error estimates for the quadrature rules are provided, and to find applications for our results to information theory, we proved a new generalization based on f-divergence measure.
引用
收藏
页数：23
相关论文
共 50 条
  • [21] Some new generalized κ-fractional Hermite-Hadamard-Mercer type integral inequalities and their applications
    Vivas-Cortez, Miguel
    Awan, Muhammad Uzair
    Javed, Muhammad Zakria
    Kashuri, Artion
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    AIMS MATHEMATICS, 2021, 7 (02): : 3203 - 3220
  • [22] Some New Fractional Hadamard and Pachpatte-Type Inequalities with Applications via Generalized Preinvexity
    Tariq, Muhammad
    Shaikh, Asif Ali
    Ntouyas, Sotiris K. K.
    SYMMETRY-BASEL, 2023, 15 (05):
  • [23] SOME NEW INEQUALITIES ON GENERALIZATION OF HERMITE-HADAMARD AND BULLEN TYPE INEQUALITIES, APPLICATIONS TO TRAPEZOIDAL AND MIDPOINT FORMULA
    Iscan, Imdat
    Toplu, Tekin
    Yetgin, Fatih
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2021, 45 (04): : 647 - 657
  • [24] New Approaches to Fractal-Fractional Bullen's Inequalities Through Generalized Convexity
    Saleh, Wedad
    Boulares, Hamid
    Moumen, Abdelkader
    Albala, Hussien
    Meftah, Badreddine
    FRACTAL AND FRACTIONAL, 2025, 9 (01)
  • [25] Some local fractional Maclaurin type inequalities for generalized convex functions and their applications
    Meftah, B.
    Souahi, A.
    Merad, M.
    CHAOS SOLITONS & FRACTALS, 2022, 162
  • [26] Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications
    Kashuri, A.
    Ali, M. A.
    Abbas, M.
    Toseef, M.
    JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS, 2021, 17 (01) : 37 - 64
  • [27] Some trapezoid type inequalities for generalized fractional integral
    Ertugral, Fatma
    Sarikaya, Mehmet Zeki
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (01): : 289 - 295
  • [28] Some New Generalized Fractional Newton's Type Inequalities for Convex Functions
    Soontharanon, Jarunee
    Ali, Muhammad Aamir
    Budak, Hueseyin
    Koesem, Pinar
    Nonlaopon, Kamsing
    Sitthiwirattham, Thanin
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [29] Some new Chebyshev type inequalities utilizing generalized fractional integral operators
    Usta, Fuat
    Budak, Huseyin
    Sarikaya, Mehmet Zeki
    AIMS MATHEMATICS, 2020, 5 (02): : 1147 - 1161
  • [30] Some new generalized Gronwall-Bellman type discrete fractional inequalities
    Feng, Qinghua
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 : 403 - 411
12345