A STUDY ON MILNE-TYPE INEQUALITIES FOR A SPECIFIC FRACTIONAL INTEGRAL OPERATOR WITH APPLICATIONS

被引:1
|
作者
Munir, Arslan [1 ]
Qayyum, Ather [3 ]
Rathour, Laxmi [4 ]
Atta, Gulnaz [2 ,5 ]
Supadi, Siti suzlin [6 ]
Ali, Usman [7 ]
机构
[1] COMSATS Univ Islamabad, Dept Math, Sahiwal Campus, Sahiwal 57000, Pakistan
[2] Univ Malaya Malaysia, Inst Math Sci, Kuala Lumpur, Malaysia
[3] Northumbria Univ, QFBA, Doha, Qatar
[4] Natl Inst Technol, Dept Math, Aizawl 96012, Mizoram, India
[5] Univ Educ, Dept Math, DGK Campus, Lahore, Pakistan
[6] Univ Malaya, Inst Math Sci, Kuala Lumpur, Malaysia
[7] Inst Southern Punjab, Dept Math, Multan, Pakistan
来源
KOREAN JOURNAL OF MATHEMATICS | 2024年 / 32卷 / 02期
关键词
Milne-type inequalities; s-convex function; Fractional integrals; Holder's inequality; DIFFERENTIABLE MAPPINGS; SIMPSONS INEQUALITY; CALCULUS;
D O I
10.11568/kjm.2024.32.2.297
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Fractional integral operators have been studied extensively in the last few decades by various mathematicians, because it plays a vital role in the developments of new inequalities. The main goal of the current study is to establish some new Milne-type inequalities by using the special type of fractional integral operator i.e Caputo Fabrizio operator. Additionally, generalization of these developed Milnetype inequalities for s-convex function are also given. Furthermore, applications to some special means, quadrature formula, and q-digamma functions are presented.
引用
收藏
页码:297 / 314
页数:18
相关论文
共 50 条
  • [1] On new Milne-type inequalities for fractional integrals
    Budak, Huseyin
    Kosem, Pinar
    Kara, Hasan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [2] On new Milne-type inequalities for fractional integrals
    Hüseyin Budak
    Pınar Kösem
    Hasan Kara
    Journal of Inequalities and Applications, 2023
  • [3] On Conformable Fractional Milne-Type Inequalities
    Ying, Rui
    Lakhdari, Abdelghani
    Xu, Hongyan
    Saleh, Wedad
    Meftah, Badreddine
    SYMMETRY-BASEL, 2024, 16 (02):
  • [4] A comprehensive study on Milne-type inequalities with tempered fractional integrals
    Haider, Wali
    Budak, Huseyin
    Shehzadi, Asia
    Hezenci, Fatih
    Chen, Haibo
    BOUNDARY VALUE PROBLEMS, 2024, 2024 (01)
  • [5] On new Milne-type inequalities and applications
    Bosch, Paul
    Rodriguez, Jose M.
    Sigarreta, Jose M.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [6] Fractional Milne-type inequalities for twice differentiable functions
    Almoneef, Areej A.
    Hyder, Abd-Allah
    Budak, Huseyin
    Barakat, Mohamed A.
    AIMS MATHEMATICS, 2024, 9 (07): : 19771 - 19785
  • [7] On new Milne-type inequalities and applications
    Paul Bosch
    José M. Rodríguez
    José M. Sigarreta
    Journal of Inequalities and Applications, 2023
  • [8] Extension of Milne-type inequalities to Katugampola fractional integrals
    Lakhdari, Abdelghani
    Budak, Huseyin
    Awan, Muhammad Uzair
    Meftah, Badreddine
    BOUNDARY VALUE PROBLEMS, 2024, 2024 (01):
  • [9] Milne-Type inequalities via expanded fractional operators: A comparative study with different types of functions
    Hyder, Abd-Allah
    Budak, Huseyin
    Barakat, Mohamed A.
    AIMS MATHEMATICS, 2024, 9 (05): : 11228 - 11246
  • [10] Some new Milne-type inequalities
    Bosch, Paul
    Rodriguez, Jose M.
    Sigarreta, Jose M.
    Touris, Eva
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01):