Abstract This article introduces the novel notion of dimension preserving approximation for continuous functions defined on [0, 1] and initiates study it. Restrictions extensions in regards to fractal dimensions are also investigated.

The purpose of this paper is to provide some asymptotic results for nonparametric estimator of the Lorenz curve and Lorenz process for the case in which data are assumed to be strong mixing subject to random left truncation. First, we show that nonparametric estimator of the Lorenz curve is uniformly strongly consistent for the associated Lorenz curve. Also, a strong Gaussian approximation for ...

The specific heat of Cd Mn Se (x = 0.01) and Cd , Mn S (x = 0.026) in the temperature range of 0.3 - 40K was measured. The measurements were carried out in different applied magnetic fields (H = 0,10,20, 28KG). The results were analyzed with a model which includes long range interactions. Calculations based on on extended version of nearest neighbor pair approximation (including triplets)...

This paper investigates the performances of artificial neural networks approximation, the Translog and the Fourier flexible functional forms for the cost function, when different production technologies are used. Using simulated data bases, the author provides a comparison in terms of capability to reproduce input demands and in terms of the corresponding input elasticities of substitution esti...