Wirtinger’s Inequalities on Time Scales
نویسندگان
چکیده
This paper is devoted to the study of Wirtinger-type inequalities for the Lebesgue∆-integral on an arbitrary time scale T. We prove a general inequality for a class of absolutely continuous functions on closed subintervals of an adequate subset of T. By using this expression and by assuming that T is bounded, we deduce that a general inequality is valid for every absolutely continuous function on T such that its∆-derivative belongs to L2 ∆ ([a, b) ∩ T) and at most it vanishes on the boundary of T.
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تاریخ انتشار 2008