Certain Grüss type inequalities involving the generalized fractional integral operator

被引:0
|
作者
Guotao Wang
Praveen Agarwal
Mehar Chand
机构
[1] Shanxi Normal University,School of Mathematics and Computer Science
[2] Anand International College of Engineering,Department of Mathematics
[3] Fateh College for Women,Department of Mathematics
关键词
integral inequalities; Grüss inequality; fractional integrals and hypergeometric fractional integrals;
D O I
暂无
中图分类号
学科分类号
摘要
A remarkably large number of Grüss type fractional integral inequalities involving the special function have been investigated by many authors. Very recently, Kalla and Rao (Matematiche LXVI(1):57-64, 2011) gave two Grüss type inequalities involving the Saigo fractional integral operator. Using the same technique, in this paper, we establish certain new Grüss type fractional integral inequalities involving the Gauss hypergeometric function. Moreover, we also consider their relevances for other related known results.
引用
收藏
相关论文
共 50 条
  • [21] Chebyshev type inequalities involving extended generalized fractional integral operators
    Set, Erhan
    Ozdemir, M. Emin
    Demirbas, Sevdenur
    AIMS MATHEMATICS, 2020, 5 (04): : 3573 - 3583
  • [22] CHEBYSHEV TYPE INEQUALITIES INVOLVING GENERALIZED KATUGAMPOLA FRACTIONAL INTEGRAL OPERATORS
    Set, Erhan
    Choi, Junesang
    Mumcu, Ilker
    TAMKANG JOURNAL OF MATHEMATICS, 2019, 50 (04): : 381 - 390
  • [23] Grüss-type integrals inequalities via generalized proportional fractional operators
    Saima Rashid
    Fahd Jarad
    Muhammad Aslam Noor
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
  • [24] Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator
    Asifa Tassaddiq
    Aftab Khan
    Gauhar Rahman
    Kottakkaran Sooppy Nisar
    Moheb Saad Abouzaid
    Ilyas Khan
    Journal of Inequalities and Applications, 2020
  • [25] Generalized Ostrowski–Grüss-type Inequalities
    Heiner Gonska
    Ioan Raşa
    Maria-Daniela Rusu
    Results in Mathematics, 2012, 62 : 311 - 318
  • [26] CERTAIN INEQUALITIES USING SAIGO FRACTIONAL INTEGRAL OPERATOR
    Chinchane, Vaijanath L.
    Pachpatte, Deepak B.
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2014, 29 (04): : 343 - 350
  • [27] Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators
    Rahman, Gauhar
    Ullah, Zafar
    Khan, Aftab
    Set, Erhan
    Nisar, Kottakkaran Sooppy
    MATHEMATICS, 2019, 7 (04):
  • [28] Certain Chebyshev Type Integral Inequalities Involving Hadamard's Fractional Operators
    Ntouyas, Sotiris K.
    Purohit, Sunil D.
    Tariboon, Jessada
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [29] Certain Inequalities Involving Pathway Fractional Integral Operators
    Choi, Junesang
    Agarwal, Praveen
    KYUNGPOOK MATHEMATICAL JOURNAL, 2016, 56 (04): : 1161 - 1168
  • [30] Refinements of Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Fractional Integral Operator
    Ahmad, Hijaz
    Tariq, Muhammad
    Sahoo, Soubhagya Kumar
    Askar, Sameh
    Abouelregal, Ahmed E.
    Khedher, Khaled Mohamed
    SYMMETRY-BASEL, 2021, 13 (11):