1 citations · 1 across the 3 of their papers we have counts for
3 papers
A Fixed-Point Construction of the Elementary Transcendental Functions
François Alouges, Giovanni Di Fratta, Alberto Fiorenza +1
We present a unified fixed-point construction of the elementary transcendental functions, encompassing the real exponential, the complex exponential (sine and cosine), and the natu…
A modular Poincaré-Wirtinger type inequality on Lipschitz domains for Sobolev spaces with variable exponents
Elisa Davoli, Giovanni Di Fratta, Alberto Fiorenza +1
In the context of Sobolev spaces with variable exponents, Poincaré--Wirtinger inequalities are possible as soon as Luxemburg norms are considered. On the other hand, modular versio…
A unified divergent approach to Hardy-Poincaré inequalities in classical and variable Sobolev spaces
Giovanni Di Fratta, Alberto Fiorenza
We present a unified strategy to derive Hardy-Poincaré inequalities on bounded and unbounded domains. The approach allows proving a general Hardy-Poincaré inequality from which the…