Kolmogorov type inequalities for Hadamard fractional derivatives of functions defined on half-line, and their applications

V.F. Babenko; N.V. Parfinovich; A.A. Semirenko

doi:10.15421/241207

Kolmogorov type inequalities for Hadamard fractional derivatives of functions defined on half-line, and their applications

V.F. Babenko (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0001-6677-1914
N.V. Parfinovich (Oles Honchar Dnipropetrovsk National University)
A.A. Semirenko (Oles Honchar Dnipropetrovsk National University)

Abstract

For the norms of fractional Hadamard derivatives of functions defined on the half-line, the sharp Kolmogorov-type inequalities are obtained. Applications of these inequalities are given.

Keywords

fractional derivative; sharp inequality; norm; function

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References

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