An introduction to fractal Lebesgue integral
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Hemanta Kalita
und
Alireza K. Golmankhanehand
Abstract
This manuscript explores various characteristics of generalized fractal measures. We expand the concept of fractal integrals in relation to step functions and examine their numerous properties. Notably, since all step functions are classified as simple functions, we apply the aforementioned generalized measure to introduce Lebesgue-type integrals, referred to as FL-integrals. Additionally, we demonstrate that all
Acknowledgements
The authors would like to thank the reviewer’s for reading the manuscript carefully and making valuable suggestions that significantly improve the presentation of the paper.
References
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