On the multi-parameterized inequalities involving the tempered fractional integral operators

被引：5
|
作者：
Tan, Pinzheng [1 ]
Du, Tingsong [1 ,2 ]
机构：
[1] China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443002, Peoples R China
[2] China Three Gorges Univ, Coll Sci, Dept Math, Yichang 443002, Peoples R China
来源：
FILOMAT | 2023年 / 37卷 / 15期
关键词：
Hermite-Hadamard-type integral inequalities; Incomplete gamma function; Fractional integrals; HADAMARD TYPE INEQUALITIES; CONVEX-FUNCTIONS; DIFFERENTIABLE MAPPINGS; REAL NUMBERS; SIMPSON TYPE; EXTENSION;
D O I：
10.2298/FIL2315919T
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In virtue of the conception of the tempered fractional integrals, put forward by Sabzikar et al. in the published article [J. Comput. Phys., 293: 14-28, 2015], we present a fractional integral identity together with multi-parameter. Based on it, we develop certain parameterized integral inequalities in association with differentiable mappings. Furthermore, we give two examples to verify the correctness of the derived findings.
引用
收藏
页码：4919 / 4941
页数：23
相关论文
共 50 条
  • [1] The multi-parameterized integral inequalities for multiplicative Riemann-Liouville fractional integrals
    Du, Tingsong
    Long, Yun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 541 (01)
  • [2] Certain Bounds Related to Multi-Parameterized k-Fractional Integral Inequalities and Their Applications
    Luo, Chunyan
    Yu, Bo
    Zhang, Yao
    Du, Tingsong
    IEEE ACCESS, 2019, 7 : 124662 - 124673
  • [3] Nonlinear Integral Inequalities Involving Tempered ?-Hilfer Fractional Integral and Fractional Equations with Tempered ?-Caputo Fractional Derivative
    Medved', Milan
    Pospisil, Michal
    Brestovanska, Eva
    FRACTAL AND FRACTIONAL, 2023, 7 (08)
  • [4] ON FRACTIONAL INTEGRAL INEQUALITIES INVOLVING THE SAIGO'S FRACTIONAL INTEGRAL OPERATORS
    Menaria, Naresh
    Purohit, S. D.
    Kumar, Dinesh
    JOURNAL OF SCIENCE AND ARTS, 2016, (04): : 289 - 294
  • [5] Some remarks on parameterized inequalities involving conformable fractional operators
    Unal, Cihan
    Hezenci, Fatih
    Budak, Hueseyin
    TURKISH JOURNAL OF MATHEMATICS, 2023, 47 (02) : 590 - 607
  • [6] Some integral inequalities involving Saigo fractional integral operators
    Houas, Mohamed
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2018, 21 (03) : 681 - 694
  • [7] Certain Inequalities Involving Pathway Fractional Integral Operators
    Choi, Junesang
    Agarwal, Praveen
    KYUNGPOOK MATHEMATICAL JOURNAL, 2016, 56 (04): : 1161 - 1168
  • [8] Certain Inequalities Involving the Fractional q-Integral Operators
    Baleanu, Dumitru
    Agarwal, Praveen
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [9] Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators
    Baleanu, D.
    Purohit, S. D.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [10] Integral inequalities involving generalized Erdelyi-Kober fractional integral operators
    Baleanu, Dumitru
    Purohit, Sunil Dutt
    Prajapati, Jyotindra C.
    OPEN MATHEMATICS, 2016, 14 : 89 - 99
12345