Inequalities of Kolmogorov type for norms of hypersingular integrals with homogeneous characteristic of constant sign

N.V. Parfinovich

doi:10.15421/241507

Inequalities of Kolmogorov type for norms of hypersingular integrals with homogeneous characteristic of constant sign

N.V. Parfinovich (Oles Honchar Dnipropetrovsk National University)

Abstract

We obtained new sharp Kolmogorov-type inequalities for norms of hypersingular integrals with homogeneous characteristic of constant sign $$${\| D^{\alpha}_{\Omega} \|}_{\infty}$$$. We provided some applications of the obtained inequalities.

Keywords

fractional derivative; hypersingular integral; approximation of operators; Kolmogorov inequalities

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References

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