A New Characterization of Weighted Peetre K-Functionals (II)
A New Characterization of Weighted Peetre K-Functionals (II)
2000 Mathematics Subject Classification: 46B70, 41A25, 41A17, 26D10. ∗Part of the results were reported at the Conference “Pioneers of Bulgarian Mathematics”, Sofia, 2006. 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 [3]. Partially supported by grant No. 22/2006 of the Sofia University with the National Science Fund of the Bulgarian Ministry of Education and Science.
- Institute of Mathematics and Informatics Bulgaria
- Bulgarian Academy of Sciences Bulgaria
Fractional Integral, K-Functional, Linear Operator, Modulus of Smoothness
Fractional Integral, K-Functional, Linear Operator, Modulus of Smoothness
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