Matches in SemOpenAlex for { <https://semopenalex.org/work/W2211574188> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2211574188 abstract "We prove Nikol'skii type inequalities which for polynomials on the $n$-dimensional torus $mathbb{T}^n$ relate the $L^p$-with the $L^q$-norm (with respect to the normalized Lebesgue measure and $0 <p <q < infty$). Among other things we show that $C=sqrt{q/p}$ is the best constant such that $|P|_{L^q}leq C^{text{deg}(P)} |P|_{L^p}$ for all homogeneous polynomials $P$ on $mathbb{T}^n$. We also prove an exact inequality between the $L^p$-norm of a polynomial $P$ on $mathbb{T}^n$ and its Mahler measure $M(P)$, which is the geometric mean of $|P|$ with respect to the normalized Lebesgue measure on $mathbb{T}^n$. Using extrapolation we transfer this estimate into a Khintchine-Kahane type inequality, which, for polynomials on $mathbb{T}^n$, relates a certain exponential Orlicz norm and Mahler's measure. Applications are given, including some interpolation estimates." @default.
- W2211574188 created "2016-06-24" @default.
- W2211574188 creator A5002208194 @default.
- W2211574188 creator A5005274530 @default.
- W2211574188 date "2015-08-23" @default.
- W2211574188 modified "2023-10-13" @default.
- W2211574188 title "$L^p$-norms and Mahler's measure of polynomials on the $n$-dimensional torus" @default.
- W2211574188 cites W2013665084 @default.
- W2211574188 cites W2020552336 @default.
- W2211574188 cites W2030569067 @default.
- W2211574188 cites W2078223006 @default.
- W2211574188 cites W2162416555 @default.
- W2211574188 cites W2334368756 @default.
- W2211574188 cites W2970070367 @default.
- W2211574188 cites W3143622134 @default.
- W2211574188 cites W2334522492 @default.
- W2211574188 hasPublicationYear "2015" @default.
- W2211574188 type Work @default.
- W2211574188 sameAs 2211574188 @default.
- W2211574188 citedByCount "0" @default.
- W2211574188 crossrefType "posted-content" @default.
- W2211574188 hasAuthorship W2211574188A5002208194 @default.
- W2211574188 hasAuthorship W2211574188A5005274530 @default.
- W2211574188 hasConcept C114614502 @default.
- W2211574188 hasConcept C118615104 @default.
- W2211574188 hasConcept C132459708 @default.
- W2211574188 hasConcept C134306372 @default.
- W2211574188 hasConcept C14158598 @default.
- W2211574188 hasConcept C17744445 @default.
- W2211574188 hasConcept C18903297 @default.
- W2211574188 hasConcept C191795146 @default.
- W2211574188 hasConcept C199539241 @default.
- W2211574188 hasConcept C2524010 @default.
- W2211574188 hasConcept C2777105136 @default.
- W2211574188 hasConcept C2777299769 @default.
- W2211574188 hasConcept C2780009758 @default.
- W2211574188 hasConcept C33923547 @default.
- W2211574188 hasConcept C41008148 @default.
- W2211574188 hasConcept C77088390 @default.
- W2211574188 hasConcept C86803240 @default.
- W2211574188 hasConcept C90119067 @default.
- W2211574188 hasConcept C9767117 @default.
- W2211574188 hasConceptScore W2211574188C114614502 @default.
- W2211574188 hasConceptScore W2211574188C118615104 @default.
- W2211574188 hasConceptScore W2211574188C132459708 @default.
- W2211574188 hasConceptScore W2211574188C134306372 @default.
- W2211574188 hasConceptScore W2211574188C14158598 @default.
- W2211574188 hasConceptScore W2211574188C17744445 @default.
- W2211574188 hasConceptScore W2211574188C18903297 @default.
- W2211574188 hasConceptScore W2211574188C191795146 @default.
- W2211574188 hasConceptScore W2211574188C199539241 @default.
- W2211574188 hasConceptScore W2211574188C2524010 @default.
- W2211574188 hasConceptScore W2211574188C2777105136 @default.
- W2211574188 hasConceptScore W2211574188C2777299769 @default.
- W2211574188 hasConceptScore W2211574188C2780009758 @default.
- W2211574188 hasConceptScore W2211574188C33923547 @default.
- W2211574188 hasConceptScore W2211574188C41008148 @default.
- W2211574188 hasConceptScore W2211574188C77088390 @default.
- W2211574188 hasConceptScore W2211574188C86803240 @default.
- W2211574188 hasConceptScore W2211574188C90119067 @default.
- W2211574188 hasConceptScore W2211574188C9767117 @default.
- W2211574188 hasLocation W22115741881 @default.
- W2211574188 hasOpenAccess W2211574188 @default.
- W2211574188 hasPrimaryLocation W22115741881 @default.
- W2211574188 hasRelatedWork W1422199371 @default.
- W2211574188 hasRelatedWork W1539441706 @default.
- W2211574188 hasRelatedWork W1587224021 @default.
- W2211574188 hasRelatedWork W1946103836 @default.
- W2211574188 hasRelatedWork W1963647060 @default.
- W2211574188 hasRelatedWork W1968695542 @default.
- W2211574188 hasRelatedWork W1973265559 @default.
- W2211574188 hasRelatedWork W2003402602 @default.
- W2211574188 hasRelatedWork W2116053287 @default.
- W2211574188 hasRelatedWork W2138525338 @default.
- W2211574188 hasRelatedWork W2239245203 @default.
- W2211574188 hasRelatedWork W2320471761 @default.
- W2211574188 hasRelatedWork W2331090383 @default.
- W2211574188 hasRelatedWork W2609618513 @default.
- W2211574188 hasRelatedWork W2948030324 @default.
- W2211574188 hasRelatedWork W2950059936 @default.
- W2211574188 hasRelatedWork W2963606977 @default.
- W2211574188 hasRelatedWork W2964233636 @default.
- W2211574188 hasRelatedWork W3046458661 @default.
- W2211574188 hasRelatedWork W3093087276 @default.
- W2211574188 isParatext "false" @default.
- W2211574188 isRetracted "false" @default.
- W2211574188 magId "2211574188" @default.
- W2211574188 workType "article" @default.