The aim of this paper is to present an approach to improve reverse Minkowski and Hölder-type inequalities using k-weighted fractional integral operators a+ℑwμ with respect to a strictly increasing continuous function μ, by introducing two parameters of integrability, p and q. For various choices of μ we get interesting special cases.

Keywords: k-weighted fractional integral operator, Minkowski's inequality, Hö,lder's inequality, k-Riemann-Liouville, k-Hadamard, k-Katugompola, k-Conformable