An s-first return examination on s-sets

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2024年1月23日

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Donatella Bongiorno,
Giuseppina Barbieri,
Alireza Khalili Golmankhaneh

摘要

The purpose of this work is to analyze an integral of the s-Riemann type, where the gauge is a positive constant but the points involved in the s-Riemann sums are not randomly chosen. We demonstrate that, under this novel approach, every ${\mathcal {H}}^{s}$ $H^{s}$ -Lebesgue integrable function is integrable.