Korean J. Math.  Vol 29, No 1 (2021)  pp.91-103
DOI: https://doi.org/10.11568/kjm.2021.29.1.91

Unified integral operator inequalities via convex composition of two functions

Lakshmi Narayan Mishra, Ghulam Farid, Kahkashan Mahreen

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.


Keywords


Convex function, Bounds, Integral operator, Fractional integrals

Subject classification

26D10, 31A10, 26A33

Sponsor(s)



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References


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