On mean values

Q: What does this research mean for the field?

Mean values can be mathematically characterized and analyzed as an infinite sequence of functions, building upon the fundamental theorem established by Kolmogoroff and Nagumo. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

J. Aczél

doi:10.1090/s0002-9904-1948-09016-4

January 1, 1948Bulletin of the American Mathematical SocietyOpen Access

On mean values

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Key Points

This work examines the concept of mean values as defined by Kolmogoroff and Nagumo.
Discussion of historical context and significance.
Analysis of the theorem presented by Kolmogoroff and Nagumo.
The theorem on mean values is established as foundational in mathematical analysis.
Mean values are defined as infinite sequences of functions.

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Implication

Historical analysis reveals a fundamental theorem on mean values and functions.

Abstract

Introduction. Historical. In 1930 Kolmogoroff and Nagumo 1 proved simultaneously a fundamental theorem on mean values. In their definition a mean value is an infinite sequence of functions;

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J. Aczél (1948) studied this question.

synapsesocial.com/papers/6a072626616fd0436a843167 https://doi.org/10.1090/s0002-9904-1948-09016-4

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On mean values

Key Points

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Implication

Abstract

Discussion

Cite This Study

On mean values

Key Points

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Implication

Abstract

Discussion

Cite This Study

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