Extensions of dynamic inequalities of Hardy's type on time scales

Year, pages: 2015, 993 - 1012

In this paper using some algebraic inequalities, Hölder inequality and a simple consequence of Keller's chain rule we prove some new inequalities of Hardy type on a time scale $\mathbb{T}$. These inequalities as special cases contain some integral and discrete inequalities when $\mathbb{T}=\mathbb{R}$ and $\mathbb{T}=\mathbb{N}$.

Saker, S., O Regan, D. 2015. Extensions of dynamic inequalities of Hardy's type on time scales. In Mathematica Slovaca, vol. 65, no.5, pp. 993-1012. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0068

Saker, S., O Regan, D. (2015). Extensions of dynamic inequalities of Hardy's type on time scales. Mathematica Slovaca, 65(5), 993-1012. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0068