Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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BOUNDS OF AN INTEGRAL OPERATOR FOR CONVEX FUNCTIONS AND RESULTS IN FRACTIONAL CALCULUS

  • Mishira, Lakshmi Narayan (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University) ;
  • Farid, Ghulam (Department of Mathematics, COMSATS University Islamabad, Attock Campus) ;
  • Bangash, Babar Khan (Department of Mathematics, COMSATS University Islamabad, Attock Campus)
  • Received : 2019.09.07
  • Accepted : 2020.02.28
  • Published : 2020.06.25
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Abstract

The present research investigates the bounds of an integral operator for convex functions and a differentiable function f such that |f'| is convex. Further, these bounds of integral operators specifically produce estimations of various classical fractional and recently defined conformable integral operators. These results also contain bounds of Hadamard type for symmetric convex functions.

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References

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