GENERALIZED QUANTUM MONTGOMERY IDENTITY AND OSTROWSKI TYPE INEQUALITIES FOR PREINVEX FUNCTIONSHUMAIRA KALSOOM, MUHAMMAD AAMIR ALI, MUJAHID ABBAS, HUSEYIN BUDAK, GHULAM MURTAZA (pp. 72-90)
Abstract.In this research, we give a generalized version of the quantum Montgomery identity using the quantum integral. We establish some new inequalities of Ostrowski type by means of newly derived identity. Moreover, we consider the special cases of the newly obtained results and prove several new and known Ostrowski and midpoint inequalities.
Keywords:Ostrowski inequalities, midpoint inequalities, q-integral, quantum calculus, preinvex functions.