Research Article

Some inequalities associated with the probability density function

Volume: 1 Number: 1 November 28, 2025

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

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