Some integral inequalities for harmonical cr-h-Godunova-Levin stochastic processes

被引:11
作者
Afzal, Waqar [1 ,2 ]
Eldin, Sayed M. [3 ]
Nazeer, Waqas [1 ]
Galal, Ahmed M. [4 ,5 ]
机构
[1] Govt Coll Univ Lahore GCUL, Dept Mathemt, Lahore 54000, Pakistan
[2] Univ Gujrat, Dept Math, Gujrat 50700, Pakistan
[3] Future Univ Egypt New Cairo, Fac Engn, Ctr Res, New Cairo 11835, Egypt
[4] Prince Sattam bin Abdulaziz Univ, Coll Engn Wadi Alddawasir, Dept Mech Engn, Al Kharj, Saudi Arabia
[5] Mansoura Univ, Fac Engn, Prod Engn & Mech Design Dept, POB 35516, Mansoura, Egypt
来源
AIMS MATHEMATICS | 2023年 / 8卷 / 06期
关键词
Jensen inequality; Hermite-Hadamard inequality; Godunova-Levin function; cr-order relation; stochastic h-convex; HADAMARD TYPE INEQUALITIES; HERMITE-HADAMARD; CONVEX-FUNCTIONS; JENSEN; OPTIMIZATION; PARAMETERS; INCLUSIONS;
D O I
10.3934/math.2023683
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An important part of optimization is the consideration of convex and non-convex functions. Furthermore, there is no denying the connection between the ideas of convexity and stochastic processes. Stochastic processes, often known as random processes, are groups of variables created at random and supported by mathematical indicators. Our study introduces a novel stochastic process for center-radius (cr) order based on harmonic h-Godunova-Levin (GL) in the setting of interval-valued functions (IVFS). With some interesting examples, we establish some variants of Hermite-Hadamard (`-(.`-() types inequalities for generalized interval-valued harmonic cr-h-Godunova-Levin stochastic processes.
引用
收藏
页码:13473 / 13491
页数:19
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  • [1] Some New Estimates of Hermite-Hadamard, Ostrowski and Jensen-Type Inclusions for h-Convex Stochastic Process via Interval-Valued Functions
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    Prosviryakov, Evgeniy Yu.
    El-Deeb, Sheza M.
    Almalki, Yahya
    [J]. SYMMETRY-BASEL, 2023, 15 (04):
  • [2] Some novel estimates of Jensen and Hermite-Hadamard inequalities for h-Godunova-Levin stochastic processes
    Afzal, Waqar
    Botmart, Thongchai
    [J]. AIMS MATHEMATICS, 2023, 8 (03): : 7277 - 7291
  • [3] Some properties and inequalities for generalized class of harmonical Godunova-Levin function via center radius order relation
    Afzal, Waqar
    Nazeer, Waqas
    Botmart, Thongchai
    Treanta, Savin
    [J]. AIMS MATHEMATICS, 2023, 8 (01): : 1696 - 1712
  • [4] Jensen and Hermite-Hadamard type inclusions for harmonical h-Godunova-Levin functions
    Afzal, Waqar
    Shabbir, Khurram
    Treanta, Savin
    Nonlaopon, Kamsing
    [J]. AIMS MATHEMATICS, 2023, 8 (02): : 3303 - 3321
  • [5] Some new estimates of well known inequalities for (h1, h2)-Godunova-Levin functions by means of center-radius order relation
    Afzal, Waqar
    Shabbir, Khurram
    Botmart, Thongchai
    Treanta, Savin
    [J]. AIMS MATHEMATICS, 2022, 8 (02): : 3101 - 3119
  • [6] Some H-Godunova-Levin Function Inequalities Using Center Radius (Cr) Order Relation
    Afzal, Waqar
    Abbas, Mujahid
    Macias-Diaz, Jorge E.
    Treanta, Savin
    [J]. FRACTAL AND FRACTIONAL, 2022, 6 (09)
  • [7] Generalized version of Jensen and Hermite-Hadamard inequalities for interval-valued (h1, h2)-Godunova-Levin functions
    Afzal, Waqar
    Shabbir, Khurram
    Botmart, Thongchai
    [J]. AIMS MATHEMATICS, 2022, 7 (10): : 19372 - 19387
  • [8] Hermite-Hadamard and Jensen-Type Inequalities for Harmonical (h1, h2)-Godunova-Levin Interval-Valued Functions
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    Lupas, Alina Alb
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    [J]. MATHEMATICS, 2022, 10 (16)
  • [9] On fractional stochastic inequalities related to Hermite-Hadamard and Jensen types for convex stochastic processes
    Agahi, Hamzeh
    Babakhani, Azizollah
    [J]. AEQUATIONES MATHEMATICAE, 2016, 90 (05) : 1035 - 1043
  • [10] New Principles of Non-Linear Integral Inequalities on Time Scales
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