3 papers
math.GM2026
A new proof of the irrationality of
Achraf Ben Said
In this short note, we provide a simple proof of the irrationality of Euler's number , without using the classical estimates based on continued fractions or Taylor series expans…
math.FA2026
A solution to a conjecture on the norm of the Copson operator minus the Identity for monotone sequences
Achraf Ben Said, Amiran Gogatishvili
We investigate the operator distance between the Identity and the Copson operator on the cone of nonnegative, nonincreasing sequences within the Lebesgue sequence spaces $\ell^p(\m…
math.FA2026
On sharp constants for infinitely many equivalent norms on Cesàro function spaces
Achraf Ben Said, Miguel Monsalve-López
Recent years have seen significant interest in finding equivalent norms on Cesàro function spaces together with their optimal equivalence constants. In this work, we continue this…