Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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UNIFIED INTEGRAL OPERATOR INEQUALITIES VIA CONVEX COMPOSITION OF TWO FUNCTIONS

  • Mishra, Lakshmi Narayan (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University) ;
  • Farid, Ghulam (Department of Mathematics, COMSATS University Islamabad) ;
  • Mahreen, Kahkashan (Department of Mathematics, COMSATS University Islamabad)
  • Received : 2020.12.03
  • Accepted : 2021.02.16
  • Published : 2021.03.30
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Abstract

In this paper we have established inequalities for a unified integral operator by using convexity of composition of two functions. The obtained results are directly connected to bounds of various fractional and conformable integral operators which are already known in literature. A generalized Hadamard integral inequality is obtained which further leads to its various versions for associated fractional integrals. Further, some implicated results are discussed.

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References

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