On the Stochastic Spread of Random Functions
Abstract
In this study, we consider random functions whose domain is an interval of the real number field and range a random metric (RM) space of random elements taking values in a metric or normed space. In this context, the concept of stochastic spread of a random function is introduced and some of its basic properties are studied. This concept is analogous to the derivative of a random function but it is rather different. It may provide some geometric properties of a stochastic process when the process is considered as a path in an RM space of random elements.
Keywords
Supporting Institution
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Project Number
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Ethical Statement
The author has no competing/ financial interests, or other interests relevant to the content of this paper. No funding was received for conducting this study.
Thanks
None
References
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- Gaddum, J.W., Metric methods in integral and differential geometry, Amer. J. Math., 75(1953), 30–42.
- Guo, T.-X., Some basic theories of random normed linear spaces and random inner product spaces, Acta Anal. Funct. Appl., 1 (1999), 160–184.
- Guo, T.-X., Survey of recent developments of random metric theory and its applications in China I, Acta Anal. Funct. Appl., 3 (2001), 129–158.
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Details
Primary Language
English
Subjects
Pure Mathematics (Other)
Journal Section
Research Article
Authors
Publication Date
December 30, 2025
Submission Date
May 21, 2025
Acceptance Date
July 6, 2025
Published in Issue
Year 2025 Volume: 17 Number: 2
APA
Şençimen, C. (2025). On the Stochastic Spread of Random Functions. Turkish Journal of Mathematics and Computer Science, 17(2), 366-370. https://doi.org/10.47000/tjmcs.1703838
AMA
1.Şençimen C. On the Stochastic Spread of Random Functions. TJMCS. 2025;17(2):366-370. doi:10.47000/tjmcs.1703838
Chicago
Şençimen, Celaleddin. 2025. “On the Stochastic Spread of Random Functions”. Turkish Journal of Mathematics and Computer Science 17 (2): 366-70. https://doi.org/10.47000/tjmcs.1703838.
EndNote
Şençimen C (December 1, 2025) On the Stochastic Spread of Random Functions. Turkish Journal of Mathematics and Computer Science 17 2 366–370.
IEEE
[1]C. Şençimen, “On the Stochastic Spread of Random Functions”, TJMCS, vol. 17, no. 2, pp. 366–370, Dec. 2025, doi: 10.47000/tjmcs.1703838.
ISNAD
Şençimen, Celaleddin. “On the Stochastic Spread of Random Functions”. Turkish Journal of Mathematics and Computer Science 17/2 (December 1, 2025): 366-370. https://doi.org/10.47000/tjmcs.1703838.
JAMA
1.Şençimen C. On the Stochastic Spread of Random Functions. TJMCS. 2025;17:366–370.
MLA
Şençimen, Celaleddin. “On the Stochastic Spread of Random Functions”. Turkish Journal of Mathematics and Computer Science, vol. 17, no. 2, Dec. 2025, pp. 366-70, doi:10.47000/tjmcs.1703838.
Vancouver
1.Celaleddin Şençimen. On the Stochastic Spread of Random Functions. TJMCS. 2025 Dec. 1;17(2):366-70. doi:10.47000/tjmcs.1703838