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math.FA2021★ 1 cited
Regularity of the coefficients of multilinear forms on sequence spaces
Daniel Pellegrino, Anselmo Raposo, Diana Serrano-Rodríguez
The investigation of regularity/summability properties of the coefficients of bilinear forms in sequence spaces was initiated by Littlewood in . Nowadays, this topic has impo…
math.CO2021
Upper bounds for the constants of Bennett's inequality and the Gale--Berlekamp switching game
Daniel Pellegrino, Anselmo Raposo
In , G. Bennett proved, by means of non-deterministic methods, an inequality which plays a fundamental role in a series of optimization problems. More precisely, Bennett's in…
math.FA2021
Constants of the Kahane--Salem--Zygmund inequality asymptotically bounded by II
Daniel Pellegrino, Anselmo Raposo
In [18] we have shown that, for , the constants of Bennett's inequality on unimodular bilinear forms on …