A New Characterization of Weighted Peetre K-Functionals (II)

Draganov, Borislav, and Ivanov, Kamen. "A New Characterization of Weighted Peetre K-Functionals (II)." Serdica Mathematical Journal 33.1 (2007): 59-124. <http://eudml.org/doc/281463>.

@article{Draganov2007,
abstract = {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.},
author = {Draganov, Borislav, Ivanov, Kamen},
journal = {Serdica Mathematical Journal},
keywords = {K-Functional; Modulus of Smoothness; Linear Operator; Fractional Integral; -functional; modulus of smoothness; linear operator; fractional integral},
language = {eng},
number = {1},
pages = {59-124},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A New Characterization of Weighted Peetre K-Functionals (II)},
url = {http://eudml.org/doc/281463},
volume = {33},
year = {2007},
}

TY - JOUR
AU - Draganov, Borislav
AU - Ivanov, Kamen
TI - A New Characterization of Weighted Peetre K-Functionals (II)
JO - Serdica Mathematical Journal
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 33
IS - 1
SP - 59
EP - 124
AB - 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.
LA - eng
KW - K-Functional; Modulus of Smoothness; Linear Operator; Fractional Integral; -functional; modulus of smoothness; linear operator; fractional integral
UR - http://eudml.org/doc/281463
ER -