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- Hardy–Littlewood_tauberian_theorem abstract "In mathematical analysis, the Hardy–Littlewood tauberian theorem is a tauberian theorem relating the asymptotics of the partial sums of a series with the asymptotics of its Abel summation. In this form, the theorem asserts that if, as y ↓ 0, the non-negative sequence an is such that there is an asymptotic equivalencethen there is also an asymptotic equivalenceas n → ∞. The integral formulation of the theorem relates in an analogous manner the asymptotics of the cumulative distribution function of a function with the asymptotics of its Laplace transform.The theorem was proved in 1914 by G. H. Hardy and J. E. Littlewood. In 1930 Jovan Karamata gave a new and much simpler proof.".
- Hardy–Littlewood_tauberian_theorem wikiPageID "22846993".
- Hardy–Littlewood_tauberian_theorem wikiPageRevisionID "596593772".
- Hardy–Littlewood_tauberian_theorem id "t/t092280".
- Hardy–Littlewood_tauberian_theorem title "Hardy-Littlewood Tauberian Theorem".
- Hardy–Littlewood_tauberian_theorem title "Tauberian theorems".
- Hardy–Littlewood_tauberian_theorem urlname "Hardy-LittlewoodTauberianTheorem".
- Hardy–Littlewood_tauberian_theorem subject Category:Tauberian_theorems.
- Hardy–Littlewood_tauberian_theorem subject Category:Theorems_in_analysis.
- Hardy–Littlewood_tauberian_theorem comment "In mathematical analysis, the Hardy–Littlewood tauberian theorem is a tauberian theorem relating the asymptotics of the partial sums of a series with the asymptotics of its Abel summation. In this form, the theorem asserts that if, as y ↓ 0, the non-negative sequence an is such that there is an asymptotic equivalencethen there is also an asymptotic equivalenceas n → ∞.".
- Hardy–Littlewood_tauberian_theorem label "Hardy–Littlewood tauberian theorem".
- Hardy–Littlewood_tauberian_theorem label "Теорема Харди — Литтлвуда".
- Hardy–Littlewood_tauberian_theorem sameAs Hardy%E2%80%93Littlewood_tauberian_theorem.
- Hardy–Littlewood_tauberian_theorem sameAs Q5656673.
- Hardy–Littlewood_tauberian_theorem sameAs Q5656673.
- Hardy–Littlewood_tauberian_theorem wasDerivedFrom Hardy–Littlewood_tauberian_theorem?oldid=596593772.