{"paper":{"title":"Application of Geometric Calculus in Numerical Analysis and Difference Sequence Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Bipan Hazarika, Khirod Boruah","submitted_at":"2016-03-31T08:06:47Z","abstract_excerpt":"The main purpose of this paper is to introduce the geometric difference sequence space\n  $l_\\infty^{G} (\\Delta_G)$ and prove that $l_\\infty^{G} ({\\Delta}_{G})$ is a Banach space with respect to the norm $\\left\\|.\\right\\|^G_{{\\Delta}_G}.$ Also we compute the $\\alpha$-dual, $\\beta$-dual and $\\gamma$-dual spaces. Finally we obtain the Geometric Newton-Gregory interpolation formulae."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.09479","kind":"arxiv","version":2},"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"}