Some inequalities associated with the probability density function
Abstract
In this paper, we establish improved versions of certain inequalities for random variables whose probability density functions are bounded and whose absolute derivatives are convex on the real line. The results obtained here serve as significant extensions and generalizations of previously known inequalities in the literature.
Keywords
References
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Details
Primary Language
English
Subjects
Pure Mathematics (Other)
Journal Section
Research Article
Authors
Publication Date
November 28, 2025
Submission Date
May 6, 2025
Acceptance Date
June 29, 2025
Published in Issue
Year 2025 Volume: 1 Number: 1
APA
Sarikaya, M. Z. (2025). Some inequalities associated with the probability density function. Düzce Mathematical Research, 1(1), 41-49. https://izlik.org/JA43DR99BD
AMA
1.Sarikaya MZ. Some inequalities associated with the probability density function. Düzce Mathematical Research. 2025;1(1):41-49. https://izlik.org/JA43DR99BD
Chicago
Sarikaya, Mehmet Zeki. 2025. “Some Inequalities Associated With the Probability Density Function”. Düzce Mathematical Research 1 (1): 41-49. https://izlik.org/JA43DR99BD.
EndNote
Sarikaya MZ (November 1, 2025) Some inequalities associated with the probability density function. Düzce Mathematical Research 1 1 41–49.
IEEE
[1]M. Z. Sarikaya, “Some inequalities associated with the probability density function”, Düzce Mathematical Research, vol. 1, no. 1, pp. 41–49, Nov. 2025, [Online]. Available: https://izlik.org/JA43DR99BD
ISNAD
Sarikaya, Mehmet Zeki. “Some Inequalities Associated With the Probability Density Function”. Düzce Mathematical Research 1/1 (November 1, 2025): 41-49. https://izlik.org/JA43DR99BD.
JAMA
1.Sarikaya MZ. Some inequalities associated with the probability density function. Düzce Mathematical Research. 2025;1:41–49.
MLA
Sarikaya, Mehmet Zeki. “Some Inequalities Associated With the Probability Density Function”. Düzce Mathematical Research, vol. 1, no. 1, Nov. 2025, pp. 41-49, https://izlik.org/JA43DR99BD.
Vancouver
1.Mehmet Zeki Sarikaya. Some inequalities associated with the probability density function. Düzce Mathematical Research [Internet]. 2025 Nov. 1;1(1):41-9. Available from: https://izlik.org/JA43DR99BD