A multifractal formalism for Hewitt-Stromberg measures

In the present work, we give a new {\it multifractal formalism} for which the classical multifractal formalism does not hold. We precisely introduce and study a multifractal formalism based on the Hewitt-Stromberg measures and that this formalism is completely parallel to Olsen's multifractal formalism which based on the Hausdorff and packing measures.
Comment: arXiv admin note: text overlap with arXiv:1307.5223 by other authors