Some Innovations for Hardy-Type Inequalities on Time Scales

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2025

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Soc Paranaense Matematica

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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-alpha 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.

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Hardy-Type Inequalit, Time Scales, Diamond-Alpha Integral

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Boletim Sociedade Paranaense De Matematica

Volume

43

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