Function interpolation and approximation are classical problems of vital importance in many science/engineering areas communities. In this paper, we propose a powerful methodology for the optimal placement centers, when approximating or interpolating curve surface to data set, using base functions radial type. fact, chose basis function under tension (RBFT), depending on positive parameter, tha...

Asymptotic relations between zeta functions (such as, ζ ( s ) , β and other Dirichlet L -functions) interpolation differences of like | y their interpolating entire exponential type 1 are discussed. New criteria for zeros the in critical strip terms integrability obtained as well.

We propose a construction of periodic rational bases of wavelets First we explain why this problem is not trivial Construction of wavelet basis is not possible neither for the case of alge braic polynomials nor for the case of rational algebraic functions Of course algebraic polynomials do not belong to L R Nevertheless they can belong to the closure of L R in topology of the generalized conver...

A natural interpolation problem in the cone of positive harmonic functions is considered and the corresponding interpolating sequences are geometrically described.