Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Bessel's_inequality> ?p ?o. }
Showing items 1 to 34 of
34
with 100 items per page.
- Bessel's_inequality abstract "In mathematics, especially functional analysis, Bessel's inequality is a statement about the coefficients of an element in a Hilbert space with respect to an orthonormal sequence.Let be a Hilbert space, and suppose that is an orthonormal sequence in . Then, for any in one haswhere 〈•,•〉 denotes the inner product in the Hilbert space . If we define the infinite sumconsisting of 'infinite sum' of vector resolute in direction , Bessel's inequality tells us that this series converges. One can think of it that there exists which can be described in terms of potential basis .For a complete orthonormal sequence (that is, for an orthonormal sequence which is a basis), we have Parseval's identity, which replaces the inequality with an equality (and consequently with ).Bessel's inequality follows from the identity:which holds for any natural n.".
- Bessel's_inequality wikiPageExternalLink BesselsInequality.html.
- Bessel's_inequality wikiPageID "1446277".
- Bessel's_inequality wikiPageRevisionID "590022857".
- Bessel's_inequality hasPhotoCollection Bessel's_inequality.
- Bessel's_inequality id "3089".
- Bessel's_inequality id "p/b015850".
- Bessel's_inequality title "Bessel inequality".
- Bessel's_inequality subject Category:Hilbert_space.
- Bessel's_inequality subject Category:Inequalities.
- Bessel's_inequality type Abstraction100002137.
- Bessel's_inequality type Attribute100024264.
- Bessel's_inequality type Difference104748836.
- Bessel's_inequality type Inequalities.
- Bessel's_inequality type Inequality104752221.
- Bessel's_inequality type Quality104723816.
- Bessel's_inequality comment "In mathematics, especially functional analysis, Bessel's inequality is a statement about the coefficients of an element in a Hilbert space with respect to an orthonormal sequence.Let be a Hilbert space, and suppose that is an orthonormal sequence in . Then, for any in one haswhere 〈•,•〉 denotes the inner product in the Hilbert space . If we define the infinite sumconsisting of 'infinite sum' of vector resolute in direction , Bessel's inequality tells us that this series converges.".
- Bessel's_inequality label "Bessel's inequality".
- Bessel's_inequality label "Besselsche Ungleichung".
- Bessel's_inequality label "Desigualdad de Bessel".
- Bessel's_inequality label "Disuguaglianza di Bessel".
- Bessel's_inequality label "Inégalité de Bessel".
- Bessel's_inequality label "Неравенство Бесселя".
- Bessel's_inequality label "贝塞尔不等式".
- Bessel's_inequality sameAs Besselsche_Ungleichung.
- Bessel's_inequality sameAs Desigualdad_de_Bessel.
- Bessel's_inequality sameAs Inégalité_de_Bessel.
- Bessel's_inequality sameAs Disuguaglianza_di_Bessel.
- Bessel's_inequality sameAs m.05278d.
- Bessel's_inequality sameAs Q794042.
- Bessel's_inequality sameAs Q794042.
- Bessel's_inequality sameAs Bessel's_inequality.
- Bessel's_inequality wasDerivedFrom Bessel's_inequality?oldid=590022857.
- Bessel's_inequality isPrimaryTopicOf Bessel's_inequality.