Abstract

Since Gruss presented an interesting integral inequality in [9], its various generalizations and variants, which are called Gruss type inequalities, have been investigated. Very recently, certain Gruss type inequalities involving ? ? s , k-fractional integral operator have been established. Motivated by the above mentioned works, we aim to present a Young's type inequality and a weighted AM-GM type inequality involving the ? ? ? , k-fractional integral operator. Some special cases of the main results here are also considered.

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