We consider the generalized Lorentz space L ;q dened via a continuous and concave function Fourier series of with respect to an unbounded orthonormal system. Some new Jackson-Nikol'skii type inequalities in this frame are stated, proved discussed. In particular, derived results generalize unify several well-known but also some applications pointed out.

In this paper, the theory and the design of a new class of orthogonal transforms are presented. The novel transform is derived from a correlation matrix in which an arbitrary orthonormal system is embedded. By embedding an orthonormal system designed empirically, we obtain the transform that is not only adapted for perceptual information but also possess statistical property like the Karhunen-L...

This research concerns offline identification of acoustic characteristics of enclosures with second-order resonant dynamics and their modeling as linear dynamic systems. The applied models can be described by basis function expansions. The practical problem of acoustic echo in enclosures is used as the target problem to be addressed. It has been found out that the classical filters are ineffect...