q-analiysis and q-integral operators

In this master's thesis, q -analysis, Hardy-type inequalities q -analogues, q -integral operators and some applications are analyzed. This thesis consists of four parts. It starts with the introduction part. In the second part, some basic de nitions and concepts are given on the q -analysis. In the third chapter, q -analogs of Hardy typed inequalities are examined. In the last part, q -integral operators and some applications are given on the subject of q -Riemann-Liouville operator and the results related to the integral operator.