(1) Department of Mathematics and Informatics, The Sofia University, Blvd. James Bourchier 5, 1164 Sofia, Bulgaria;(2) Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria
Abstract:
The purpose of this paper is to present a characterization of certain types of generalized weighted Peetre K-functionals by means of a modulus of smoothness. This new modulus is based on the classical one taken on a certain linear transform of the function. A new modulus of smoothness which describes the best algebraic approximation is introduced.
