K-Functional Modulus of Smoothness Linear Operator Fractional Integral
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 33, No 1, (2007), 59p-124p
Certain types of weighted Peetre K-functionals are characterized by means
of the classical moduli of smoothness taken on a proper linear
transforms of the function. The weights with power-type asymptotic at the
ends of the interval with arbitrary real exponents are considered. This paper
extends the method and results presented in .
2000 Mathematics Subject Classification: 46B70, 41A25, 41A17, 26D10.
∗Part of the results were reported at the Conference “Pioneers of Bulgarian Mathematics”,