Sentence examples for weighted type from inspiring English sources

We start with a basic, weighted type energy estimate.

Researching on the relationships among different multiple weighted type fractional Fourier transform (multi-WFRFT) schemes, we in this paper provide the modulation order relation of different multi-WFRFT in theory.

In particular, we employ (weighted) type I a posteriori bounds to drive adaptive finite element algorithms for the estimation of the error measured in terms of general target functionals of the solution; these error estimates involve the product of the finite element residuals with local weighting terms, involving the solution of a certain dual problem that must be numerically approximated.

Recently, 4-weighted type fractional Fourier transform (4-WFRFT) has been popular in channel equalization, narrow-band interference (NBI) suppression, and signal processing [1 6].

Likewise, for a weight μ, the weighted-type space (H^{infty}_{mu}=H^{infty}_{mu}(mathbb{D})) consists of all (f in H mathbb {D})) such that sup_{z inmathbb{D}}mu z) bigl|f z) bigr| < infty, and the little weighted-type space (H^{infty}_{mu,0}=H^{infty}_{mu,0}(mathbb{D})) consists of all (f in H^{infty}_{mu}) such that lim_{|z| to1}mu z) bigl|f z) bigr|=0 (see, e.g., [3]).

In [22], the out-of-band power reduction methods are proposed to the weighted-type FRFT-based multicarrier system.

In [52], Stević investigated the properties of weighted differentiation composition operators from mixed-norm spaces to weighted-type spaces.

Motivated by [9, 29, 30] here we calculate the essential norm of operator (9) between two kth weighted-type spaces.

For β > 0, the weighted-type A β consists of all f ∈ H ( D ) such that sup z ∈ D ( 1 − | z | 2 ) β | f ( z ) | < ∞.

Stević in [13] studied weighted radial operators from the mixed-norm space to the nth weighted-type space on the unit ball.

The boundedness and compactness of the weighted composition operator from the generalized weighted Bergman space into a class of weighted-type spaces are studied in this paper.