{"paper":{"title":"On local property of absolute summability of factored Fourier series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.AP","authors_text":"Dansheng Yu, H\\\"usey\\.in Bor, Ping Zhou","submitted_at":"2013-01-29T09:44:17Z","abstract_excerpt":"We establish two general theorems on the local properties of the absolute summability of factored Fourier series by applying a recently defined absolute summability, $\\left\\vert A,\\alpha_{n}\\right\\vert _{k}$ summability, and the class $\\mathcal{S}\\left( \\alpha_{n},\\phi_{n}\\right) $, which generalize some well known results and can be applied to improve many classical absolute summability methods."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6874","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"}