Weighted Montgomery identity for fractional integral of a function with respect to another function (CROSBI ID 200208)
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Podaci o odgovornosti
Aglić Aljinović, Andrea ; Krnić, Mario ; Pečarić, Josip
engleski
Weighted Montgomery identity for fractional integral of a function with respect to another function
We present a weighted Montgomery identity for fractional integral of a function f with respect to another function g and use it to obtain weighted Ostrowski type inequalities for fractional integrals involving functions whose first derivatives belong to Lp spaces. These inequalities are generally sharp in case p > 1 and best possible in case p = 1. Applications for the Hadamard fractional integrals are given.
Fractional integral; Montgomery identity; Ostrowski inequality
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