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- Abelian_and_tauberian_theorems abstract "In mathematics, abelian and tauberian theorems are theorems giving conditions for two methods of summing divergent series to give the same result, named after Niels Henrik Abel and Alfred Tauber. The original examples are Abel's theorem showing that if a series converges to some limit then its Abel sum is the same limit, and Tauber's theorem showing that if the Abel sum of a series exists and the coefficients are sufficiently small (o(1/n)) then the series converges to the Abel sum. More general abelian and tauberian theorems give similar results for more general summation methods. There is no clear distinction between abelian and tauberian theorems, or even a generally accepted definition of what these terms mean. Often, a theorem is called \"abelian\" if it shows that some summation method gives the usual sum for convergent series, and is called \"tauberian\" if it gives conditions for a series summable by some method to be summable in the usual sense.".
- Abelian_and_tauberian_theorems wikiPageExternalLink 978-3-662-10225-1.
- Abelian_and_tauberian_theorems wikiPageID "411990".
- Abelian_and_tauberian_theorems wikiPageLength "5992".
- Abelian_and_tauberian_theorems wikiPageOutDegree "30".
- Abelian_and_tauberian_theorems wikiPageRevisionID "667033241".
- Abelian_and_tauberian_theorems wikiPageWikiLink Abels_theorem.
- Abelian_and_tauberian_theorems wikiPageWikiLink Alfred_Tauber.
- Abelian_and_tauberian_theorems wikiPageWikiLink Arithmetic_mean.
- Abelian_and_tauberian_theorems wikiPageWikiLink Banach_algebra.
- Abelian_and_tauberian_theorems wikiPageWikiLink Big_O_notation.
- Abelian_and_tauberian_theorems wikiPageWikiLink Category:Mathematical_series.
- Abelian_and_tauberian_theorems wikiPageWikiLink Category:Summability_methods.
- Abelian_and_tauberian_theorems wikiPageWikiLink Category:Summability_theory.
- Abelian_and_tauberian_theorems wikiPageWikiLink Category:Tauberian_theorems.
- Abelian_and_tauberian_theorems wikiPageWikiLink Cesàro_mean.
- Abelian_and_tauberian_theorems wikiPageWikiLink Continuous_function.
- Abelian_and_tauberian_theorems wikiPageWikiLink Dirichlet_series.
- Abelian_and_tauberian_theorems wikiPageWikiLink Divergent_series.
- Abelian_and_tauberian_theorems wikiPageWikiLink Hardy–Littlewood_tauberian_theorem.
- Abelian_and_tauberian_theorems wikiPageWikiLink Infinity.
- Abelian_and_tauberian_theorems wikiPageWikiLink John_Edensor_Littlewood.
- Abelian_and_tauberian_theorems wikiPageWikiLink Limit_of_a_sequence.
- Abelian_and_tauberian_theorems wikiPageWikiLink Mathematics.
- Abelian_and_tauberian_theorems wikiPageWikiLink Niels_Henrik_Abel.
- Abelian_and_tauberian_theorems wikiPageWikiLink Norbert_Wiener.
- Abelian_and_tauberian_theorems wikiPageWikiLink Number_theory.
- Abelian_and_tauberian_theorems wikiPageWikiLink Power_series.
- Abelian_and_tauberian_theorems wikiPageWikiLink Radius_of_convergence.
- Abelian_and_tauberian_theorems wikiPageWikiLink Springer_Science+Business_Media.
- Abelian_and_tauberian_theorems wikiPageWikiLink Uniform_convergence.
- Abelian_and_tauberian_theorems wikiPageWikiLink Unit_disk.
- Abelian_and_tauberian_theorems wikiPageWikiLink Wieners_tauberian_theorem.
- Abelian_and_tauberian_theorems wikiPageWikiLinkText "''Tauberian''".
- Abelian_and_tauberian_theorems wikiPageWikiLinkText "Abelian and tauberian theorems".
- Abelian_and_tauberian_theorems wikiPageWikiLinkText "Tauberian theorem".
- Abelian_and_tauberian_theorems wikiPageWikiLinkText "Tauberian theorems".
- Abelian_and_tauberian_theorems wikiPageWikiLinkText "Tauberian theory".
- Abelian_and_tauberian_theorems id "T/t092280".
- Abelian_and_tauberian_theorems title "Tauberian theorems".
- Abelian_and_tauberian_theorems wikiPageUsesTemplate Template:Cite_book.
- Abelian_and_tauberian_theorems wikiPageUsesTemplate Template:Cite_journal.
- Abelian_and_tauberian_theorems wikiPageUsesTemplate Template:Harvs.
- Abelian_and_tauberian_theorems wikiPageUsesTemplate Template:Springer.
- Abelian_and_tauberian_theorems subject Category:Mathematical_series.
- Abelian_and_tauberian_theorems subject Category:Summability_methods.
- Abelian_and_tauberian_theorems subject Category:Summability_theory.
- Abelian_and_tauberian_theorems subject Category:Tauberian_theorems.
- Abelian_and_tauberian_theorems hypernym Theorems.
- Abelian_and_tauberian_theorems type Method.
- Abelian_and_tauberian_theorems type Redirect.
- Abelian_and_tauberian_theorems type Theorem.
- Abelian_and_tauberian_theorems type Concept.
- Abelian_and_tauberian_theorems comment "In mathematics, abelian and tauberian theorems are theorems giving conditions for two methods of summing divergent series to give the same result, named after Niels Henrik Abel and Alfred Tauber. The original examples are Abel's theorem showing that if a series converges to some limit then its Abel sum is the same limit, and Tauber's theorem showing that if the Abel sum of a series exists and the coefficients are sufficiently small (o(1/n)) then the series converges to the Abel sum.".
- Abelian_and_tauberian_theorems label "Abelian and tauberian theorems".
- Abelian_and_tauberian_theorems sameAs Q2376918.
- Abelian_and_tauberian_theorems sameAs Théorèmes_abéliens_et_taubériens.
- Abelian_and_tauberian_theorems sameAs 타우버의_정리.
- Abelian_and_tauberian_theorems sameAs Teoremas_abeliano_e_tauberiano.
- Abelian_and_tauberian_theorems sameAs m.025682.
- Abelian_and_tauberian_theorems sameAs Теорема_Абеля_—_Таубера.
- Abelian_and_tauberian_theorems sameAs Q2376918.
- Abelian_and_tauberian_theorems wasDerivedFrom Abelian_and_tauberian_theorems?oldid=667033241.
- Abelian_and_tauberian_theorems isPrimaryTopicOf Abelian_and_tauberian_theorems.