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http://dx.doi.org/10.5831/HMJ.2020.42.2.359

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)
Publication Information
Honam Mathematical Journal / v.42, no.2, 2020 , pp. 359-376 More about this Journal
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.
Keywords
convex function; fractional integral operators; conformable integral operators;
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