Interpolation of generalized Biaxisymmetric potentials

Abstract

In this paper we study the chebyshev and interpolation error for a real valued generalized biaxisymmetric Potential (GBASP) which is regular in the open hyper sphere about the origin. The lower (p, q) order and lower generalized (p, q) -type have been characterized in terms of these approximation errors.

Growth and approximation of generalized biaxially symmetric potentials in several complex variables

“…Proofs of Theorems 4.1 and 4.2 follows using the reasoning of [5] for ( p, q) = (2, 1) with respect to jth variable keeping others fixed, as in the single variable case.…”