On inequalities for $$$L_p$$$-norms of fractional derivatives on the real domain

V.F. Babenko; M.S. Churilova

doi:10.15421/240704

On inequalities for $$$L_p$$$-norms of fractional derivatives on the real domain

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

Abstract

We obtain new inequalities for fractional Marchaud derivatives of functions defined on the whole real domain, in integral metric ($$$1 \leqslant p < \infty$$$); for $$$p = 1$$$ we establish the sharpness of obtained inequalities.

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References

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