Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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A STUDY ON MILNE-TYPE INEQUALITIES FOR A SPECIFIC FRACTIONAL INTEGRAL OPERATOR WITH APPLICATIONS

  • Arslan Munir (Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus) ;
  • Ather Qayyum (Institute of Mathematical Sciences, Universiti Malaya Malaysia, QFBA-Northumbria University) ;
  • Laxmi Rathour (Department of Mathematics,National Institute of Technology) ;
  • Gulnaz Atta (Department of Mathematics, University of Education DGK Campus) ;
  • Siti Suzlin Supadi (Institute of Mathematical Sciences, Universiti Malaya) ;
  • Usman Ali (Department of Mathematics, institute of Southern Punjab)
  • Received : 2024.02.10
  • Accepted : 2024.04.23
  • Published : 2024.06.30
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Abstract

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 Milne-type inequalities for s-convex function are also given. Furthermore, applications to some special means, quadrature formula, and q-digamma functions are presented.

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References

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