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Then the weighted Morrey space (L^{p, k} u,v)) for two weights is defined by L^{p, k} u,v =bigl{ fin L^{p}_{mathrm{loc}} u,v) : |f |_{L^{p, k} u,v)}< inftybigr}, where |f|_{L^{p, k} u,v)}=sup_{Q} biggl(frac{1}{v(Q)^{k}}int _{Q}biglvert f(x bigrvert ^{p}u(x),dx biggr)^{1/p}, and the supremum is taken over all cubes Q in (mathbf{R}^{n}).
Then, on putting the th power mean of with weights is defined [16] by (1.5).
Interestingly, the distribution of weights is defined by a power law P ( x ) = x − γ described by a coefficient γ = 1.45.
The optimal set of weights is defined as the product of the inverse of the response covariance matrix the vector of mean differences in response between the signal and noise trials.
Since the (A_{p}) classes are increasing with respect to p, the (A_{infty}) class of weights is defined in a natural way by (A_{infty}=bigcup_{pge1}A_{p}) and the (A_{infty}) constant of (omegain A_{infty}) is the smallest of the infimum of the (A_{p}) constant such that (omegain A_{p}).
Similar(55)
The center frequencies and weights are defined in ANSI 1997 [21].
The required local and global weights are defined by the spatial temporal structure tensor.
The non-recursive weights are defined in a manner similar to SNLM.
In fuzzy TOPSIS, all the ratings and weights are defined by means of linguistic variables.
In the training algorithm, inputs, outputs and weights were defined by triangular fuzzy numbers.
The associated weights are defined in analogy to the trapezoidal rule on each panel of the Cubed Sphere.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com