Hölder's inequality

inequality between integrals in Lp spaces
rdfs:label
"Hölder's inequality"@en
skos:altLabel
"Hölderkonjugerede"@da
"Hölderkonjugeret"@da
"Hølders ulighed"@da
schema:description
"inequality between integrals in Lp spaces"@en
schema:dateModified "2026-05-25T15:35:25+00:00"^^xsd:dateTime
schema:version 2497344805
wikibase:identifiers 10
wikibase:sitelinks 26
wikibase:statements 24
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wd:statement/Q731894-68f2f016-4249-137f-ad49-aae78ede897d
p:direct-normalized/P227 <https://d-nb.info/gnd/4849318-1>
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wdt:P10283 "C91558832"
wdt:P11514 "neravenstvo-giol-dera-4deae5"
wdt:P138 Otto Hölder
wdt:P227 "4849318-1"
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"><mo stretchy="false">&#x2016;</mo><mi>f</mi><mi>g</mi><msub><mo stretchy="false">&#x2016;</mo><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">&#x2264;</mo><mo stretchy="false">&#x2016;</mo><mi>f</mi><msub><mo stretchy="false">&#x2016;</mo><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">&#x2016;</mo><mi>g</mi><msub><mo stretchy="false">&#x2016;</mo><mrow data-mjx-texclass="ORD"><mi>q</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 inequality
wdt:P2812 "HoeldersInequalities"
wdt:P2924 "2349019"
wdt:P31 theorem
wdt:P4215 "Hölder's inequality"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "91558832"
wdt:P646 "/m/01b5_x"
wdt:P6781 "Hölder's_Inequality"
wdt:P7235 "<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"><mi>f</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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"><mi>g</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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"><mi>p</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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"><mi>q</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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"><mo stretchy="false">&#x2016;</mo><mo stretchy="false">&#x22C5;</mo><msub><mo stretchy="false">&#x2016;</mo><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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"><mo stretchy="false">&#x2016;</mo><mo stretchy="false">&#x22C5;</mo><msub><mo stretchy="false">&#x2016;</mo><mrow data-mjx-texclass="ORD"><mi>q</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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"><mo stretchy="false">&#x2016;</mo><mo stretchy="false">&#x22C5;</mo><msub><mo stretchy="false">&#x2016;</mo><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P7554 "Hölder_inequality"
wdt:P7719 Hölder's inequality for sums
Hölder's inequality for integrals
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