Some Innovations for Hardy-Type Inequalities on Time Scales

Abstract

In this article, we introduce some innovations for the validity of a generalized two-weighted and variable exponent Hardy-type inequality on time scales via diamond−α integral. The corresponding continuous case is given when T = R. At the end of our study, some applications are added that prove the validity of our main result for some continuous results that are well-known in the literature. © Soc. Paran. de Mat.