Abstract The aim of this work is to obtain quantum estimates for q -Hardy type integral inequalities on calculus. For this, we establish new identities including derivatives and numbers. After that, prove a generalized -Minkowski inequality. Finally, with the help obtained equalities inequality, results want. outcomes presented in paper are -extensions -generalizations comparable literature ine...

Abstract In this paper, we have established some generalized inequalities of Hermite–Hadamard–Fejér type for integrals. The results obtained are applied fractional integrals various and therefore contain previous reported in the literature.