Improvement of the discrete Hardy inequality
Roychowdhury P. Suragan D.
October 2024Elsevier Masson s.r.l.
Bulletin des Sciences Mathematiques
2024#195
We establish a novel improvement of the classical discrete Hardy inequality, which gives the discrete version of a recent (continuous) inequality of Frank, Laptev, and Weidl. Our arguments build on certain weighted inequalities based on discrete analogues of symmetric decreasing rearrangement techniques.
Difference operator , Discrete Hardys inequality , Sharp constant , Uncertainty principle of discrete datum
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Mathematics Division, National Center for Theoretical Sciences, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617, Taiwan
Department of Mathematics, Nazarbayev University, Kazakhstan
Mathematics Division
Department of Mathematics
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