Abstract
A weighted differential Hardy inequality is examined on the set of locally absolutely continuous functions vanishing at the endpoints of an interval. Some generalizations of the available results and sharper estimates for the best constant are obtained.
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Original Russian Text Copyright © 2014 Abylaeva A.M., Baĭarystanov A.O., and Oĭnarov R.
The authors were supported by the Scientific Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant 1529/GF).
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 3, pp. 477–493, May–June, 2014.
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Abylaeva, A.M., Baĭarystanov, A.O. & Oĭnarov, R. A weighted differential hardy inequality on \(\mathop {AC}\limits^ \circ (I)\) . Sib Math J 55, 387–401 (2014). https://doi.org/10.1134/S003744661403001X
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DOI: https://doi.org/10.1134/S003744661403001X