Abstract
New sharp Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic of multivariate functions from Holder spaces are obtained. Proved inequalities are used to solve the Stechkin's problem on the best approximation of unbounded hypersingular integral operator by bounded ones on functional classes which are defined by a majorant of the modulus of continuity.
Citation
Vladislav F. Babenko. Mariya S. Churilova. "Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic." Banach J. Math. Anal. 1 (1) 66 - 77, 2007. https://doi.org/10.15352/bjma/1240321556
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