Hardy's inequality
inequality relating a real number greater than 1 and a sequence of non-negative numbers
| rdfs:label |
"Hardy's inequality"@en
|
|
skos:alt |
"하디 부등식"@ko |
| schema:description |
"inequality relating a real number greater than 1 and a sequence of non-negative numbers"@en
|
|
schema:date |
"2025-08-29T16:02:50+00:00"^^xsd:dateTime |
| schema:version | 2398129889 |
| wikibase:identifiers | 3 |
| wikibase:sitelinks | 13 |
| wikibase:statements | 8 |
| p:P138 | wd:statement/Q944228-a746b862-4b05-237d-f5dd-049098c623bf |
| p:P2534 | wd:statement/Q944228-3E5A00F2-6C4D-4D5B-8EBB-6A4AF0C11450 |
| p:P2812 | wd:statement/Q944228-DFF2EE9E-0D82-4665-8998-86F120EBE1A6 |
| p:P31 | wd:statement/Q944228-717b2f2e-467a-f1a9-3685-f80c27d134e7 |
| wd:statement/Q944228-7586aa7d-45c3-58fd-8546-66c47147f103 | |
| p:P6104 | wd:statement/Q944228-1348992B-8688-42D7-B943-716FDE066446 |
| p:P6366 | wd:statement/Q944228-80B1FD73-896C-4DFF-B016-11300E233EEF |
| p:P646 | wd:statement/Q944228-7CF88EA6-5E07-4FDC-B585-5F456344A306 |
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p:direct- |
<https:/ |
| wdt:P138 | G.H. Hardy |
| 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">∑</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">∞</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">⋯</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><</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">−</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">∑</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">∞</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 | inequality |
| theorem | |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "2776277431" |
| wdt:P646 | "/m/0h0f6j" |
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