Integral Inequalities Associated with Gauss Hypergeometric Function Fractional Integral Operators

被引：0
|
作者：
R. K. Saxena
S. D. Purohit
Dinesh Kumar
机构：
[1] Jai Narayan Vyas University,Department of Mathematics and Statistics
[2] Rajasthan Technical University,Department of HEAS (Mathematics)
来源：
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences | 2018年 / 88卷
关键词：
Integral inequalities; Gauss hypergeometric function; Generalized fractional integral operators; 35A23; 26A33; 33C05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, some new integral inequalities related to the bounded functions, involving hypergepmetric fractional integral operators, are established. Special cases of the main results are also pointed out.
引用
收藏
页码：27 / 31
页数：4
相关论文
共 50 条
  • [1] Integral Inequalities Associated with Gauss Hypergeometric Function Fractional Integral Operators
    Saxena, R. K.
    Purohit, S. D.
    Kumar, Dinesh
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2018, 88 (01) : 27 - 31
  • [2] Certain recent fractional integral inequalities associated with the hypergeometric operators
    Jain, Shilpi
    Agarwal, Praveen
    Ahmad, Bashir
    Al-Omari, S. K. Q.
    JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2016, 28 (01) : 82 - 86
  • [3] A GRUSS TYPE INTEGRAL INEQUALITY ASSOCIATED WITH GAUSS HYPERGEOMETRIC FUNCTION FRACTIONAL INTEGRAL OPERATOR
    Choi, Junesang
    Purohit, Sunil Dutt
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 30 (02): : 81 - 92
  • [4] On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions
    Baleanu, Dumitru
    Agarwal, Praveen
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [5] Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators
    Baleanu, D.
    Purohit, S. D.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [6] CERTAIN FRACTIONAL INTEGRAL INEQUALITIES ASSOCIATED WITH PATHWAY FRACTIONAL INTEGRAL OPERATORS
    Agarwal, Praveen
    Choi, Junesang
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (01) : 181 - 193
  • [7] On Some Fractional Integral Operators Involving Generalized Gauss Hypergeometric Functions
    Virchenko, N.
    Lisetska, O.
    Kalla, S. L.
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2010, 5 (02): : 321 - 330
  • [8] Certain Fractional Integral Operators and Extended Generalized Gauss Hypergeometric Functions
    Choi, Junesang
    Agarwal, Praveen
    Jain, Shilpi
    KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (03): : 695 - 703
  • [9] Some Integral Inequalities Involving a Fractional Integral Operator with Extended Hypergeometric Function
    Yadav, Anil Kumar
    Pandey, Rupakshi Mishra
    Mishra, Vishnu Narayan
    Agarwal, Ritu
    DOLOMITES RESEARCH NOTES ON APPROXIMATION, 2025, 18
  • [10] ON GENERALIZED FRACTIONAL q-INTEGRAL OPERATORS INVOLVING THE q-GAUSS HYPERGEOMETRIC FUNCTION
    Purohit, Sunil Dutt
    Yadav, Rajendra Kumar
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 2 (04): : 35 - 44
12345