INTEGRAL INEQUALITIES OF LEVINSON'S TYPE IN TIME SCALE SETTINGS

A new class of functions, K-1(c)(1) has been recently introduced by Baloch, Pecaric and Praljak. The authors proved that .K-1(c)(1) is the largest class of functions for which Levinson's inequality holds under Mercer's assumptions. We obtain Levinson's type inequalities in time scale settings by using the class K-1(c)(I) and some known results regarding integral inequalites for convex (concave) functions on time scale sets.