the Stolz–Cesàro theorem is a criterion for proving the convergence of a sequence. It is named after mathematicians Otto Stolz and Ernesto Cesàro, who...

ISBN 1-4297-0100-5 Stolz–Cesàro theorem Cesàro's theorem Cesàro equation Cesàro mean Cesàro summation Cesàro curve Lévy C curve "Ernesto Cesàro - Biography"...

In mathematical analysis, Cesàro summation (also known as the Cesàro mean or Cesàro limit) assigns values to some infinite sums that are not necessarily...

the transformations which precede applying l'Hôpital's rule: The Stolz–Cesàro theorem is a similar result involving limits of sequences, but it uses finite...

(1842–1905), Austrian mathematician (Stolz–Cesàro theorem) Robert Stolz (1880–1975), Austrian composer and conductor Sylvia Stolz (born 1963), German lawyer and...

in Cauchy's limit theorem are also called Cesàro means. While Cauchy's limit theorem implies that for a convergent series its Cesàro means converge as...

divergence of infinite products. This can be achieved using following theorem: Let { a n } n = 1 ∞ {\displaystyle \left\{a_{n}\right\}_{n=1}^{\infty...

Einleitung in die Funktionentheorie. His name lives on in the Stolz–Cesàro theorem. Stolz published a number of papers containing constructions of non-Archimedean...

Silverman–Toeplitz theorem (mathematical analysis) Śleszyński–Pringsheim theorem (continued fraction) Stolz–Cesàro theorem (calculus) Stone–Weierstrass theorem (functional...

{\displaystyle \ln S_{n}} is nondecreasing and diverges to infinity. By the Stolz-Cesaro theorem, lim n → ∞ a 0 / S 0 + a 1 / S 1 + ⋯ + a n / S n ln ⁡ S n = lim n...

comparison test Root test Alternating series test Dirichlet's test Stolz–Cesàro theorem – is a criterion for proving the convergence of a sequence Function...

Corps Saxo-Borussia Heidelberg Otto Stolz, Austrian mathematician, his name lives on in the Stolz-Cesàro theorem, Corps Rhaetia Innsbruck now Augsburg;...