On inequalities of Kolmogorov type for fractional derivatives of functions defined on the real domain

V.F. Babenko; M.S. Churilova

doi:10.15421/240804

On inequalities of Kolmogorov type for fractional derivatives of functions defined on the real domain

V.F. Babenko (Oles Honchar Dnipropetrovsk National University, Institute of Applied Mathematics and Mechanics of NAS of Ukraine), https://orcid.org/0000-0001-6677-1914
M.S. Churilova (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0001-7866-3988

Abstract

We obtain new inequalities that generalize known result of Geisberg, which was obtained for fractional Marchaud derivatives, to the case of higher derivatives, at that the fractional derivative is a Riesz one. The inequality with second higher derivative is sharp.

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References

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