Logarithmic moving averages
N. H. Bingham, Bujar Gashi
TL;DR
The paper introduces a new moving average summability method equivalent to the logarithmic -method, providing equivalence theorems, Tauberian theorems, and a strong law of large numbers.
Contribution
It presents a novel moving average summability method and establishes its equivalence with the logarithmic -method, along with related theorems and probabilistic results.
Findings
Establishes equivalence between the new moving average method and the logarithmic -method.
Provides several equivalence and Tauberian theorems for the method.
Proves a strong law of large numbers using the new summability approach.
Abstract
We introduce a moving average summability method, which is proved to be equivalent with the logarithmic -method. Several equivalence and Tauberian theorems are given. A strong law of large numbers is also proved.
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Taxonomy
TopicsProbability and Risk Models · Advanced Harmonic Analysis Research · Holomorphic and Operator Theory