K-Functional Modulus of Smoothness Rate of Convergence Best Approximation Linear Operator
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 33, No 4, (2007), 475p-494p
The paper presents a method of relating two K-functionals by
means of a continuous linear transform of the function. In particular, a
characterization of various weighted K-functionals by unweighted fixed-step
moduli of smoothness is derived. This is applied in estimating the rate of
convergence of several approximation processes.