Benaissa, BouharketSarikaya, Mehmet Zeki2021-12-012021-12-0120211385-12921572-9281https://doi.org/10.1007/s11117-020-00791-5https://hdl.handle.net/20.500.12684/10627In this paper, we give some new generalizations to the Hardy-type integral inequalities for functions of two variables by using weighted mean operatorsS(1) := S1(w) f and S-2 := S-2(w) f defined by S-1(x, y) = 1/W(x)W(y) integral(x)(x/2) integral(y)(y/2) w(t)w(s) f (t, s)dsdt, and S-2(x, y) = integral(x)(x/2) integral(y)(y/2) w(t)w(s)/W(t)W(s) f (t, s)dsdt, with W (z) = integral(z)(0) w(r)dr f or z is an element of (0,+infinity), where w is a weight function.en10.1007/s11117-020-00791-5info:eu-repo/semantics/closedAccessHolder's inequalityFubini theoremweight functionWeighted InequalitiesOperatorsArticle2538538662-s2.0-85092630187WOS:000578945600001Q2Q2