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Generalized Hausdorff Integral and Its Applications: Basic Definitions from [7] and [8]

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Academic Research Paper

Academic Research Paper

Part of HackerNoon's growing list of open-source research papers, promoting free access to academic material.

Author:

(1) Attila Losonczi.

Table of Links

Abstract and 1 Introduction

1.1 Basic notions and notations

1.2 Basic definitions from [7] and [8]

2 Generalized integral

2.1 Multiplication on [0, +∞) × [−∞, +∞]

2.2 Measurability

2.3 The integral of functions taking values in [0, +∞) × [0, +∞)

3 Applications

4 References

1.2 Basic definitions from [7] and [8]

For easier readability, we copy some basic definitions from [7] and [8] here.


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This paper is available on arxiv under CC BY-NC-ND 4.0 DEED license.


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Hausdorff's math unveils the beauty in distance and dimension, a world of self-similar wonder.

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