Approximation of growth numbers of generalized bi-axially symmetric potentials
2005
artykuł naukowy
angielski
- generalized biaxially symmetric potentials
- index q
- GBASP polynomial approximates in sup norm
EN Bi-Axially Symmetric Potentials (GBASP's). The GBASP's are taken to be regular in a finite hyperball and infuence of the growth of their maximum moduli on the rate of decay of their approximation errors in sup norm is studied. The author has been obtained the characterizations of the q-growth number and lower q-growth number of a GBASP H ∈ H(R), 0 < R < ∞ in terms of rate of decay of approximation error E(n)(H, R(0)), 0 < R(0) < ∞. Finally we have obtained a necessary condition for a GBASP H ∈ H(R) to be of perfectly regular growth.
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