Jakimovski Methods and Almost-Sure Convergence
نویسندگان
چکیده
The classical summability methods of Borel (B) and Euler (E(λ), λ > 0) play an important role in many areas of mathematics. For instance, in summability theory they are perhaps the most important methods other than the Cesàro (Cα) and Abel (A) methods, and two chapters of the classic book of Hardy (1949) are devoted to them. In probability, the distinction between methods of Cesàro-Abel and Euler-Borel type may be seen from the following two laws of large numbers, the first of which extends Kolmogorov’s strong law.
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