Geodesic
A New Characterization of Weighted Peetre K-Functionals (II)
Serdica Mathematical Journal, Tome 33 (2007) no. 1, pp. 59-124.

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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].
Keywords: K-Functional, Modulus of Smoothness, Linear Operator, Fractional Integral 
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     title = {A {New} {Characterization} of {Weighted} {Peetre} {K-Functionals} {(II)}},
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Draganov, Borislav; Ivanov, Kamen. A New Characterization of Weighted Peetre K-Functionals (II). Serdica Mathematical Journal, Tome 33 (2007) no. 1, pp. 59-124. http://geodesic.mathdoc.fr/item/SMJ2_2007_33_1_a3/