In this paper, the latter approach is applied and generalized.
Cubic Spline smoothing has been applied using the Generalized Additive Models for Location Scale and Shape (GAMLSS) method using R software (Stasinopoulos and Rigby 2007) [ 10].
The polygamma functions ψ ( r ) ( x ) are defined for all x > 0 and r ∈ N. In this paper, the concepts of neutrix and neutrix limit are applied to generalize and redefine the polygamma functions ψ ( r ) ( x ) for all x ∈ R and r ∈ N. Also, further results are given.
Furthermore, since various kinds of encoding schemes, decoding procedures and objective functions have been applied, the results cannot be generalized and the published comparison might be unfair.
Our main results can be applied to generalize Gallo and Piccirillo's results and Iovane's results (Nonlinear Anal., Theory Methods Appl. 66:498-508, 2007).
My main results can be applied to generalize Borysenko and Iovane's results (Nonlinear Anal., Theory Methods Appl. 66:2007-2230, 2007) and to give results similar to Gallo-Piccirllo's.
Theorems 22, 23 and Corollary 24 for the solvability of QVI can be applied to generalize results by Isac and the second author [10] for QVIs involving monotone maps in a generalized sense defined on neighborhood retracts including Riemannian manifolds.
An important implication from these findings is that caution should be applied when generalizing relationships between cognitive control and BOLD activation in healthy controls to those of neurological populations such as TBI (Hillary and Biswal 2007), also due to the fact that differences in signal changes appear to be multifactorial.
Caution should also be applied when generalizing those data, since treatment regimes and resource valorization may vary among countries and hospitals.
