This paper relates uniform α-Hölder continuity, or α-dimensionality, of spectral measures in an arbitrary interval to the Fourier transform of the measure. This is used to show that scaling exponents of exponential sums obtained from time series give local upper bounds on the degree of Hölder continuity of the power spectrum of the series. The results have applications to generalized random wal...

BACKGROUND Continuity of care (COC) has received attention over the past decade. COC has also become increasingly important for hospital managers and policy makers because of competitive health care market conditions. The purpose of this study was to assess the association between hospital charges and patients' continuity of care-assessed by three indices of continuity of care-among outpatients...

We first recall that the system of fluid mechanics equations (Euler and continuity) that describes a fluid in irrotational motion subjected to a generalized quantum potential (in which the constant is no longer reduced to the standard quantum constant h̄) is equivalent to a generalized Schrödinger equation. Then we show that, even in the case of the presence of vorticity, it is also possible to ...

We investigate a relationship between extensionality of fuzzy relations and their Lipschitz continuity on generalized metric spaces. The duality of these notions is shown, and moreover, two particular applications of the extensionality property in the field of approximation are given.

We prove the unique common fixed point theorems for pairs of weakly compatible mappings satisfying the certain contractive conditions in the setting of generalized metric spaces without exploiting the notion of continuity. Mathematics Subject Classification: Primary 47H10; Secondary 54H25