{"paper":{"title":"Strongly Cesaro type quasi-Cauchy sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Huseyin Cakalli","submitted_at":"2011-03-07T10:39:19Z","abstract_excerpt":"In this paper we call a real-valued function $N_{\\theta}$-ward continuous if it preserves $N_{\\theta}$-quasi-Cauchy sequences where a sequence $\\boldsymbol{\\alpha}=(\\alpha_{k})$ is defined to be $N_{\\theta}$-quasi-Cauchy when the sequence $\\Delta \\boldsymbol{\\alpha}$ is in $N^{0}_{\\theta}$. We prove not only inclusion and compactness type theorems, but also continuity type theorems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.1230","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"}