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- Stolz–Cesàro_theorem abstract "In mathematics, the Stolz–Cesàro theorem, named after mathematicians Otto Stolz and Ernesto Cesàro, is a criterion for proving the convergence of a sequence.Let and be two sequences of real numbers. Assume that is strictly increasing and approaches infinity and the following limit exists: Then, the limitalso exists and it is equal to ℓ. The general form of the Stolz–Cesàro theorem is the following (see http://www.imomath.com/index.php?options=686): If and are two sequences such that is monotone and unbounded, then:The Stolz–Cesàro theorem can be viewed as a generalization of the Cesàro mean, but also as a l'Hôpital's rule for sequences. The ∞/∞ case is stated and proved on pages 173—175 of Stolz's 1885 book S and also on page 54 of Cesàro's 1888 article C. It appears as Problem 70 in Pólya and Szegö.".
- Stolz–Cesàro_theorem wikiPageID "2874706".
- Stolz–Cesàro_theorem wikiPageRevisionID "591846952".
- Stolz–Cesàro_theorem id "3774".
- Stolz–Cesàro_theorem title "Stolz-Cesaro theorem".
- Stolz–Cesàro_theorem subject Category:Convergence_tests.
- Stolz–Cesàro_theorem subject Category:Theorems_in_real_analysis.
- Stolz–Cesàro_theorem comment "In mathematics, the Stolz–Cesàro theorem, named after mathematicians Otto Stolz and Ernesto Cesàro, is a criterion for proving the convergence of a sequence.Let and be two sequences of real numbers. Assume that is strictly increasing and approaches infinity and the following limit exists: Then, the limitalso exists and it is equal to ℓ.".
- Stolz–Cesàro_theorem label "Satz von Stolz".
- Stolz–Cesàro_theorem label "Stolz–Cesàro theorem".
- Stolz–Cesàro_theorem label "Teorema de Stolz-Cesàro".
- Stolz–Cesàro_theorem label "Teorema de Stolz-Cesàro".
- Stolz–Cesàro_theorem label "Teorema di Stolz-Cesàro".
- Stolz–Cesàro_theorem label "Théorème de Stolz-Cesàro".
- Stolz–Cesàro_theorem label "Twierdzenie Stolza".
- Stolz–Cesàro_theorem label "Теорема Штольца".
- Stolz–Cesàro_theorem label "シュトルツ＝チェザロの定理".
- Stolz–Cesàro_theorem label "斯托尔兹－切萨罗定理".
- Stolz–Cesàro_theorem sameAs Stolz%E2%80%93Ces%C3%A0ro_theorem.
- Stolz–Cesàro_theorem sameAs Stolzova_věta.
- Stolz–Cesàro_theorem sameAs Satz_von_Stolz.
- Stolz–Cesàro_theorem sameAs Teorema_de_Stolz-Cesàro.
- Stolz–Cesàro_theorem sameAs Théorème_de_Stolz-Cesàro.
- Stolz–Cesàro_theorem sameAs Teorema_di_Stolz-Cesàro.
- Stolz–Cesàro_theorem sameAs シュトルツ＝チェザロの定理.
- Stolz–Cesàro_theorem sameAs 슈톨츠-체사로_정리.
- Stolz–Cesàro_theorem sameAs Twierdzenie_Stolza.
- Stolz–Cesàro_theorem sameAs Teorema_de_Stolz-Cesàro.
- Stolz–Cesàro_theorem sameAs Q1052752.
- Stolz–Cesàro_theorem sameAs Q1052752.
- Stolz–Cesàro_theorem wasDerivedFrom Stolz–Cesàro_theorem?oldid=591846952.