{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:QEQFMPBLESNP5B7O2OQQPSQBRM","short_pith_number":"pith:QEQFMPBL","schema_version":"1.0","canonical_sha256":"8120563c2b249afe87eed3a107ca018b24c535a42c6b9f6cc20b9a86b55c0829","source":{"kind":"arxiv","id":"1801.07619","version":1},"attestation_state":"computed","paper":{"title":"Some generalized numerical radius inequalities involving Kwong functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Mojtaba Bakherad","submitted_at":"2018-01-23T15:35:55Z","abstract_excerpt":"We prove several numerical radius inequalities involving positive semidefinite matrices via the Hadamard product and Kwong functions. Among other inequalities, it is shown that if $X$ is an arbitrary $n\\times n$ matrix and $A,B$ are positive semidefinite, then \\begin{align*} \\omega(H_{f,g}(A))\\leq k\\, \\omega(AX+XA), \\end{align*} which is equivalent to \\begin{align*} \\omega\\big(H_{f,g}(A,B)\\pm H_{f,g}(B,A)\\big)\\leq k'\\,\\left\\{\\omega((A+B)X+X(A+B))+\\omega((A-B)X-X(A-B))\\right\\}, \\end{align*} where $f$ and $g$ are two continuous functions on $(0,\\infty)$ such that $h(t)={f(t)\\over g(t)}$ is Kwong"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1801.07619","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-01-23T15:35:55Z","cross_cats_sorted":[],"title_canon_sha256":"4c3502b129b782c28ea7c56fe43d670fb800cdacd1f83e269727dde8fe9a4dc4","abstract_canon_sha256":"8206e6242c9ad6737532c20a33a5b7c4376942af8206fb4a1e1f43c606d945e5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:12.411660Z","signature_b64":"SZC07MC7rkg061kenIt9sCXJm3aopvticBbHCVmz7cwEd9RV2oD4F66LstEKz9izjPI6rcCi19rxz9jbSRFHDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8120563c2b249afe87eed3a107ca018b24c535a42c6b9f6cc20b9a86b55c0829","last_reissued_at":"2026-05-18T00:25:12.411111Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:12.411111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some generalized numerical radius inequalities involving Kwong functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Mojtaba Bakherad","submitted_at":"2018-01-23T15:35:55Z","abstract_excerpt":"We prove several numerical radius inequalities involving positive semidefinite matrices via the Hadamard product and Kwong functions. Among other inequalities, it is shown that if $X$ is an arbitrary $n\\times n$ matrix and $A,B$ are positive semidefinite, then \\begin{align*} \\omega(H_{f,g}(A))\\leq k\\, \\omega(AX+XA), \\end{align*} which is equivalent to \\begin{align*} \\omega\\big(H_{f,g}(A,B)\\pm H_{f,g}(B,A)\\big)\\leq k'\\,\\left\\{\\omega((A+B)X+X(A+B))+\\omega((A-B)X-X(A-B))\\right\\}, \\end{align*} where $f$ and $g$ are two continuous functions on $(0,\\infty)$ such that $h(t)={f(t)\\over g(t)}$ is Kwong"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07619","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1801.07619","created_at":"2026-05-18T00:25:12.411177+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.07619v1","created_at":"2026-05-18T00:25:12.411177+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07619","created_at":"2026-05-18T00:25:12.411177+00:00"},{"alias_kind":"pith_short_12","alias_value":"QEQFMPBLESNP","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_16","alias_value":"QEQFMPBLESNP5B7O","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_8","alias_value":"QEQFMPBL","created_at":"2026-05-18T12:32:46.962924+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QEQFMPBLESNP5B7O2OQQPSQBRM","json":"https://pith.science/pith/QEQFMPBLESNP5B7O2OQQPSQBRM.json","graph_json":"https://pith.science/api/pith-number/QEQFMPBLESNP5B7O2OQQPSQBRM/graph.json","events_json":"https://pith.science/api/pith-number/QEQFMPBLESNP5B7O2OQQPSQBRM/events.json","paper":"https://pith.science/paper/QEQFMPBL"},"agent_actions":{"view_html":"https://pith.science/pith/QEQFMPBLESNP5B7O2OQQPSQBRM","download_json":"https://pith.science/pith/QEQFMPBLESNP5B7O2OQQPSQBRM.json","view_paper":"https://pith.science/paper/QEQFMPBL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.07619&json=true","fetch_graph":"https://pith.science/api/pith-number/QEQFMPBLESNP5B7O2OQQPSQBRM/graph.json","fetch_events":"https://pith.science/api/pith-number/QEQFMPBLESNP5B7O2OQQPSQBRM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QEQFMPBLESNP5B7O2OQQPSQBRM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QEQFMPBLESNP5B7O2OQQPSQBRM/action/storage_attestation","attest_author":"https://pith.science/pith/QEQFMPBLESNP5B7O2OQQPSQBRM/action/author_attestation","sign_citation":"https://pith.science/pith/QEQFMPBLESNP5B7O2OQQPSQBRM/action/citation_signature","submit_replication":"https://pith.science/pith/QEQFMPBLESNP5B7O2OQQPSQBRM/action/replication_record"}},"created_at":"2026-05-18T00:25:12.411177+00:00","updated_at":"2026-05-18T00:25:12.411177+00:00"}