arXiv subjects

George A. Anastassiou

Publications and source records attributed to George A. Anastassiou.

2 recordsLinked to original sources

arXiv2009

Discrete fractional Calculus and Inequalities

Here we define a Caputo like discrete fractional difference and we compare it to the earlier defined Riemann-Liouville fractional discrete analog. Then we produce discrete fractional Taylor formulae for the first time, and we estimate their remainders. Finally, we derive related discrete fractional Ostrowski, Poincare and Sobolev type inequalities.

math.CA↗

arXiv2009

Nabla Discrete fractional Calculus and Nabla Inequalities

Here we define a Caputo like discrete nabla fractional difference and we produce discrete nabla fractional Taylor formulae for the first time. We estimate their remaiders. Then we derive related discrete nabla fractional Opial, Ostrowski, Poincare and Sobolev type inequalities.

math.CA↗