Holder's and Hardy's Two Dimensional Diamond-alpha Inequalities on Time Scales

Details Holder's and Hardy's Two Dimensional Diamond-alpha Inequalities on Time Scales Holder's and Hardy's Two Dimensional Diamond-alpha Inequalities on Time Scales

2009-10-21

arxiv.org/abs/0910.4115v1

An. Univ. Craiova Ser. Mat. Inform. 37 (2010), no. 1, 1-11

Mathematics

Classical Analysis and ODEs

Accepted for publication (October 21, 2009) in the journal "Annals of the University of Craiova, Mathematics and Computer Scie

Scientific paper

We prove a two dimensional Holder and reverse-Holder inequality on time
scales via the diamond-alpha integral. Other integral inequalities are
established as well, which have as corollaries some recent proved Hardy-type
inequalities on time scales.

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