Bernstein's theorem
in approximation theory, a converse to Jackson's theorem
| rdfs:label |
"Bernstein's theorem"@en
|
| schema:description | "in approximation theory, a converse to Jackson's theorem"@en |
|
schema:date |
"2025-08-29T15:51:51+00:00"^^xsd:dateTime |
| schema:version | 2398127700 |
| wikibase:identifiers | 1 |
| wikibase:sitelinks | 1 |
| wikibase:statements | 8 |
| p:P1269 | wd:statement/Q4894565-995EFA40-D0F6-48A0-8002-93B894BDA57C |
| p:P138 | wd:statement/Q4894565-3c1ae876-49db-666b-c623-49e139a6eae0 |
| p:P1889 | wd:statement/Q4894565-ec1cd37a-42dd-9dfd-19b7-ac1cab839dbc |
| p:P2534 | wd:statement/Q4894565-76c5d150-450a-a3d7-20ba-d438b897b1f6 |
| p:P31 | wd:statement/Q4894565-E2936F60-AFDE-4E61-8C8E-D3B805294FBB |
| p:P361 | wd:statement/Q4894565-61E5F8A1-3588-4D92-B1F9-9E68C8F6B5BA |
| p:P6104 | wd:statement/Q4894565-6432C3DE-27EE-49DF-BEA8-0DDFF8A0AC11 |
| p:P646 | wd:statement/Q4894565-E5B81E2A-77B7-4D24-B251-C6CD8DA73B2D |
| wdt:P1269 | approximation theory |
| wdt:P138 | Sergei Bernstein |
| wdt:P1889 | Bernstein's theorem (polynomials) |
| 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"><munder><mi>sup</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mo stretchy="false">≤</mo><mi>x</mi><mo stretchy="false">≤</mo><mn>2</mn><mi>π</mi></mrow></mrow></munder><mo stretchy="false">|</mo><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">|</mo><mo stretchy="false">≤</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>C</mi><mo stretchy="false">(</mo><mi>f</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>n</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mo stretchy="false">+</mo><mi>α</mi></mrow></mrow></msup></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P31 | theorem |
| wdt:P361 | list of theorems |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P646 | "/m/0gwyvj9" |
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