@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q944228 rdfs:label "Hardyjeva nejednakost"@bs,
        "desigualtat de Hardy"@ca,
        "Hardy's inequality"@en,
        "Desigualdad de Hardy"@es,
        "Hardy-ren desberdintza"@eu,
        "Hardyn epäyhtälö"@fi,
        "inégalité de Hardy"@fr,
        "Hardy-egyenlőtlenség"@hu,
        "Disuguaglianza di Hardy sulle successioni"@it,
        "ハーディ不等式"@ja,
        "វិសមភាព ហាតឌី"@km,
        "하디의 부등식"@ko,
        "Hardys ulikhet"@nb,
        "Hardys ulikskap"@nn,
        "desigualdade de Hardy"@pt,
        "неравенство Харди"@ru,
        "Hardys olikhet"@sv,
        "Hardy eşitsizliği"@tr,
        "Нерівність Гарді"@uk ;
    schema1:dateModified "2025-08-29T16:02:50+00:00"^^xsd:dateTime ;
    schema1:description "inequació"@ca,
        "inequality relating a real number greater than 1 and a sequence of non-negative numbers"@en ;
    schema1:version 2398129889 ;
    wikibase:identifiers 3 ;
    wikibase:sitelinks 13 ;
    wikibase:statements 8 ;
    skos:altLabel "하디 부등식"@ko ;
    p:P138 wds:Q944228-a746b862-4b05-237d-f5dd-049098c623bf ;
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    p:P2812 wds:Q944228-DFF2EE9E-0D82-4665-8998-86F120EBE1A6 ;
    p:P31 wds:Q944228-717b2f2e-467a-f1a9-3685-f80c27d134e7,
        wds:Q944228-7586aa7d-45c3-58fd-8546-66c47147f103 ;
    p:P6104 wds:Q944228-1348992B-8688-42D7-B943-716FDE066446 ;
    p:P6366 wds:Q944228-80B1FD73-896C-4DFF-B016-11300E233EEF ;
    p:P646 wds:Q944228-7CF88EA6-5E07-4FDC-B585-5F456344A306 ;
    wdtn:P6366 <https://makg.org/entity/2776277431> ;
    wdt:P138 wd:Q184337 ;
    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munderover><mo stretchy=\"false\">&#x2211;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>n</mi><mo stretchy=\"false\">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">&#x221E;</mi></mrow></munderover></mstyle><msup><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">(</mo><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><msub><mi>a</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo stretchy=\"false\">+</mo><msub><mi>a</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msub><mo stretchy=\"false\">+</mo><mo stretchy=\"false\">&#x22EF;</mo><mo stretchy=\"false\">+</mo><msub><mi>a</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></mfrac></mrow><mo data-mjx-texclass=\"CLOSE\">)</mo></mrow><mrow data-mjx-texclass=\"ORD\"><mi>p</mi></mrow></msup><mo>&lt;</mo><msup><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">(</mo><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mi>p</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>p</mi><mo stretchy=\"false\">&#x2212;</mo><mn>1</mn></mrow></mrow></mfrac></mrow><mo data-mjx-texclass=\"CLOSE\">)</mo></mrow><mrow data-mjx-texclass=\"ORD\"><mi>p</mi></mrow></msup><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munderover><mo stretchy=\"false\">&#x2211;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>n</mi><mo stretchy=\"false\">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">&#x221E;</mi></mrow></munderover></mstyle><msubsup><mi>a</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi>p</mi></mrow></msubsup></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2812 "HardysInequality" ;
    wdt:P31 wd:Q28113351,
        wd:Q65943 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "2776277431" ;
    wdt:P646 "/m/0h0f6j" .

