Some integral inequalities of Hermite--Hadamard type for $(\beta,F)$-log-convex functions

Yan Wang; Ximin Liu; Bo-yan Xi; Feng Qi

doi:10.33205/cma.1733628

Some integral inequalities of Hermite--Hadamard type for $(\beta,F)$-log-convex functions

Abstract

In the paper, the authors introduce the notion of $(\beta,F)$-log-convex functions, give an example of the $(\beta,F)$-log-convex functions, and, by virtue of two known integral identities, establish several integral inequalities of the Hermite--Hadamard type for $(\beta,F)$-log-convex functions.

Keywords

References

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Details

Primary Language

English

Subjects

Approximation Theory and Asymptotic Methods

Journal Section

Research Article

Authors

Yan Wang
0000-0002-0368-7106
China

Ximin Liu
0000-0002-4827-7936
China

Bo-yan Xi
0000-0003-4528-2331
China

Feng Qi ^*
0000-0001-6239-2968
China

Early Pub Date

September 12, 2025

Publication Date

September 15, 2025

Submission Date

July 3, 2025

Acceptance Date

September 11, 2025

Published in Issue

Year 2025 Volume: 8 Number: 3

DOI

https://doi.org/10.33205/cma.1733628

IZ

https://izlik.org/JA87LC75EC

Cite

RIS / Bibtex

APA

Wang, Y., Liu, X., Xi, B.- yan, & Qi, F. (2025). Some integral inequalities of Hermite--Hadamard type for $(\beta,F)$-log-convex functions. Constructive Mathematical Analysis, 8(3), 156-164. https://doi.org/10.33205/cma.1733628

AMA

1.Wang Y, Liu X, Xi B yan, Qi F. Some integral inequalities of Hermite--Hadamard type for $(\beta,F)$-log-convex functions. CMA. 2025;8(3):156-164. doi:10.33205/cma.1733628

Chicago

Wang, Yan, Ximin Liu, Bo-yan Xi, and Feng Qi. 2025. “Some Integral Inequalities of Hermite--Hadamard Type for $(\beta,F)$-Log-Convex Functions”. Constructive Mathematical Analysis 8 (3): 156-64. https://doi.org/10.33205/cma.1733628.

EndNote

Wang Y, Liu X, Xi B- yan, Qi F (September 1, 2025) Some integral inequalities of Hermite--Hadamard type for $(\beta,F)$-log-convex functions. Constructive Mathematical Analysis 8 3 156–164.

IEEE

[1]Y. Wang, X. Liu, B.- yan Xi, and F. Qi, “Some integral inequalities of Hermite--Hadamard type for $(\beta,F)$-log-convex functions”, CMA, vol. 8, no. 3, pp. 156–164, Sept. 2025, doi: 10.33205/cma.1733628.

ISNAD

Wang, Yan - Liu, Ximin - Xi, Bo-yan - Qi, Feng. “Some Integral Inequalities of Hermite--Hadamard Type for $(\beta,F)$-Log-Convex Functions”. Constructive Mathematical Analysis 8/3 (September 1, 2025): 156-164. https://doi.org/10.33205/cma.1733628.

JAMA

1.Wang Y, Liu X, Xi B- yan, Qi F. Some integral inequalities of Hermite--Hadamard type for $(\beta,F)$-log-convex functions. CMA. 2025;8:156–164.

MLA

Wang, Yan, et al. “Some Integral Inequalities of Hermite--Hadamard Type for $(\beta,F)$-Log-Convex Functions”. Constructive Mathematical Analysis, vol. 8, no. 3, Sept. 2025, pp. 156-64, doi:10.33205/cma.1733628.

Vancouver

1.Yan Wang, Ximin Liu, Bo-yan Xi, Feng Qi. Some integral inequalities of Hermite--Hadamard type for $(\beta,F)$-log-convex functions. CMA. 2025 Sep. 1;8(3):156-64. doi:10.33205/cma.1733628