{"paper":{"title":"An improved discrete Hardy inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Felix Pogorzelski, Matthias Keller, Yehuda Pinchover","submitted_at":"2016-12-18T13:51:03Z","abstract_excerpt":"We improve the classical discrete Hardy inequality \\begin{equation*}\\label{1} \\sum _{{n=1}}^{\\infty }a_{n}^{2}\\geq \\left({\\frac {1}{2}}\\right)^{2} \\sum _{{n=1}}^{\\infty }\\left({\\frac {a_{1}+a_{2}+\\cdots +a_{n}}{n}}\\right)^{2}, \\end{equation*} where $\\{a_n\\}_{n=1}^\\infty$ is any sequence of non-negative real numbers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05913","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}