Hardy inequality on time scales and its application to half-linear dynamic equations

By Pavel Rehák. 2005

114 citations recorded by the source corpus.

A time-scale version of the Hardy inequality is presented, which unifies and extends well-known Hardy inequalities in the continuous and in the discrete setting. An application in the oscillation theory of half-linear dynamic equations is given.

Subfields: Applied Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/c84d0cf8b82571b4afd15b3532a856d997515f32

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Samir H. Saker
2. Ravi P. Agarwal
3. Allan Peterson
4. Donal O'Regan
5. Martin J. Bohner
6. J. Oguntuase
7. Tongxing Li
8. Lynn Erbe

In Control and Systems Engineering

1. Samir H. Saker
2. Ravi P. Agarwal
3. Allan Peterson
4. Donal O'Regan
5. Ramy Ramadan Mahmoud
6. Lars-Erik Persson
7. J. Oguntuase
8. Martin J. Bohner

Citations in the corpus

• Weighted Hardy-Type Inequalities on Time Scales with Applications (2016, methodology): “To the best of the authors’ knowledge there are few inequalities in the literature [2,28,31,32,35–44] which studied dynamic inequalities of Hardy’s type on time scales.”
• Generalized Hardy, Copson, Leindler and Bennett inequalities on time scales (2014, methodology): “In [27] the author applied the technique used by Elliott [10] to prove the inequality (1.”
• Time scales Hardy-type inequalities via superquadracity (2014, methodology): “The history of the Hardy inequality on time scales seems to have been initiated by Řehák [19] in an attempt to unify and extend the classical Hardy integral inequality and the discrete Hardy inequality by means of the theory of time scales.”