Benaissa, BouharketSarikaya, Mehmet ZekiSenouci, Abdelkader2021-12-012021-12-0120200170-42141099-1476https://doi.org/10.1002/mma.6503https://hdl.handle.net/20.500.12684/10341In this paper, we give some new types of the classical Hardy integral inequality by including a second parameter q and using weighted mean operators S-1 := (S-1)(g)(w) and S-2 := (S-2)(g)(w) defined by S-1(x) = 1/W(x) integral(x)(a) w(t)g(f(t))dt, S-2(x) = integral(x)(a) w(t)/W(t)g(f(t))dt, with W(x) = integral(x)(0) w(t)dt, for x is an element of(0,+infinity), where w is a weight function and g is a real continuous function on (0,+infinity).en10.1002/mma.6503info:eu-repo/semantics/closedAccessHardy-type integral inequalityHolder's inequalityweight functionArticle4315848884952-s2.0-85084454277WOS:000531660600001Q1Q1