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Markov inequality establishes a relation between the maximum modulus or the $L^{\\infty}\\left([-1,1]\\right)$ norm of a polynomial $Q_{n}$ and of its derivative: $\\|Q'_{n}\\|\\leqslant M_{n} n^{2}\\|Q_{n}\\|$, where the constant $M_{n}=1$ is sharp. The limiting behavior of the sharp constants $M_{n}$ for this inequality, considered in the space $L^{2}\\left([-1,1], w^{(\\alpha,\\beta)}\\right)$ with respect to the classical Jacobi weight $w^{(\\alpha,\\beta)}(x):=(1-x)^{\\alpha}(x+1)^{\\beta}$, is studied. We prove that, under the condition $|\\alpha - \\beta| < 4 $, the limit is $\\lim_{n \\to"},"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":"1405.0167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-05-01T14:24:58Z","cross_cats_sorted":[],"title_canon_sha256":"996b201b5cc76c52d68da232360e618bf20dac72cc31e7c8fc7cb045b43d54af","abstract_canon_sha256":"577451a3d54129466f32d96a62a164f7b2030678712f78090951ad22f3772732"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:48.834637Z","signature_b64":"Rv93Bw91sB3Hai06N7P8v9dF/HzKGesIyRXc3v69FOEqNLRtTG2fFldWVhe3ZodweNMlWVYzNVT3YKcridFtBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d042b3c7fd536de7ef42d5cb784a528eddec55d1e8b616c65d138b782b9afa6e","last_reissued_at":"2026-05-18T02:52:48.834079Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:48.834079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotics of sharp constants of Markov-Bernstein inequalities in integral norm with Jacobi weight","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"A. Draux, A.I. Aptekarev, D.N. Tulyakov, V.A. Kalyagin","submitted_at":"2014-05-01T14:24:58Z","abstract_excerpt":"The classical A. Markov inequality establishes a relation between the maximum modulus or the $L^{\\infty}\\left([-1,1]\\right)$ norm of a polynomial $Q_{n}$ and of its derivative: $\\|Q'_{n}\\|\\leqslant M_{n} n^{2}\\|Q_{n}\\|$, where the constant $M_{n}=1$ is sharp. The limiting behavior of the sharp constants $M_{n}$ for this inequality, considered in the space $L^{2}\\left([-1,1], w^{(\\alpha,\\beta)}\\right)$ with respect to the classical Jacobi weight $w^{(\\alpha,\\beta)}(x):=(1-x)^{\\alpha}(x+1)^{\\beta}$, is studied. We prove that, under the condition $|\\alpha - \\beta| < 4 $, the limit is $\\lim_{n \\to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0167","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":"1405.0167","created_at":"2026-05-18T02:52:48.834160+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.0167v1","created_at":"2026-05-18T02:52:48.834160+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0167","created_at":"2026-05-18T02:52:48.834160+00:00"},{"alias_kind":"pith_short_12","alias_value":"2BBLHR75KNW6","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"2BBLHR75KNW6P32C","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"2BBLHR75","created_at":"2026-05-18T12:28:09.283467+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/2BBLHR75KNW6P32C2XFXQSSSR3","json":"https://pith.science/pith/2BBLHR75KNW6P32C2XFXQSSSR3.json","graph_json":"https://pith.science/api/pith-number/2BBLHR75KNW6P32C2XFXQSSSR3/graph.json","events_json":"https://pith.science/api/pith-number/2BBLHR75KNW6P32C2XFXQSSSR3/events.json","paper":"https://pith.science/paper/2BBLHR75"},"agent_actions":{"view_html":"https://pith.science/pith/2BBLHR75KNW6P32C2XFXQSSSR3","download_json":"https://pith.science/pith/2BBLHR75KNW6P32C2XFXQSSSR3.json","view_paper":"https://pith.science/paper/2BBLHR75","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.0167&json=true","fetch_graph":"https://pith.science/api/pith-number/2BBLHR75KNW6P32C2XFXQSSSR3/graph.json","fetch_events":"https://pith.science/api/pith-number/2BBLHR75KNW6P32C2XFXQSSSR3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2BBLHR75KNW6P32C2XFXQSSSR3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2BBLHR75KNW6P32C2XFXQSSSR3/action/storage_attestation","attest_author":"https://pith.science/pith/2BBLHR75KNW6P32C2XFXQSSSR3/action/author_attestation","sign_citation":"https://pith.science/pith/2BBLHR75KNW6P32C2XFXQSSSR3/action/citation_signature","submit_replication":"https://pith.science/pith/2BBLHR75KNW6P32C2XFXQSSSR3/action/replication_record"}},"created_at":"2026-05-18T02:52:48.834160+00:00","updated_at":"2026-05-18T02:52:48.834160+00:00"}