Abstract
We obtain new exact inequalities of the form
for functions defined on the axis R or the semiaxis R + in the case where
for functions defined on the axis R in the case where
and for functions of constant sign on R or R + in the case where
and in the case where
.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 3, pp. 291–302, March, 2006.
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Babenko, V.F., Kofanov, V.A. & Pichugov, S.A. Exact inequalities for derivatives of functions of low smoothness defined on an axis and a semiaxis. Ukr Math J 58, 325–339 (2006). https://doi.org/10.1007/s11253-006-0069-6
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DOI: https://doi.org/10.1007/s11253-006-0069-6