New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals

Tuba Tunç; Ayşe Nur Altunok

doi:10.17776/csj.1320515

EN

New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals

Abstract

In this research, we get some midpoint type inequalities of Hermite-Hadamard inequality via tempered fractional integrals. For this, we first obtain an identity. After that, using this identity and with the help of modulus function, Hölder inequality, power mean inequality, ongoing research and the papers mentioned, we have reached our intended midpoint type inequalities. Also, we give the special cases of our results. We see that our special results give earlier works.

Keywords

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Tuba Tunç ^*
0000-0002-4155-9180
Türkiye

Ayşe Nur Altunok
0009-0002-6116-583X
Türkiye

Publication Date

December 28, 2023

Submission Date

June 27, 2023

Acceptance Date

December 1, 2023

Published in Issue

Year 2023 Volume: 44 Number: 4

DOI

https://doi.org/10.17776/csj.1320515

IZ

https://izlik.org/JA49TP79ZN

Cite

RIS / Bibtex

APA

Tunç, T., & Altunok, A. N. (2023). New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals. Cumhuriyet Science Journal, 44(4), 758-767. https://doi.org/10.17776/csj.1320515

AMA

1.Tunç T, Altunok AN. New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals. CSJ. 2023;44(4):758-767. doi:10.17776/csj.1320515

Chicago

Tunç, Tuba, and Ayşe Nur Altunok. 2023. “New Midpoint-Type Inequalities of Hermite-Hadamard Inequality With Tempered Fractional Integrals”. Cumhuriyet Science Journal 44 (4): 758-67. https://doi.org/10.17776/csj.1320515.

EndNote

Tunç T, Altunok AN (December 1, 2023) New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals. Cumhuriyet Science Journal 44 4 758–767.

IEEE

[1]T. Tunç and A. N. Altunok, “New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals”, CSJ, vol. 44, no. 4, pp. 758–767, Dec. 2023, doi: 10.17776/csj.1320515.

ISNAD

Tunç, Tuba - Altunok, Ayşe Nur. “New Midpoint-Type Inequalities of Hermite-Hadamard Inequality With Tempered Fractional Integrals”. Cumhuriyet Science Journal 44/4 (December 1, 2023): 758-767. https://doi.org/10.17776/csj.1320515.

JAMA

1.Tunç T, Altunok AN. New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals. CSJ. 2023;44:758–767.

MLA

Tunç, Tuba, and Ayşe Nur Altunok. “New Midpoint-Type Inequalities of Hermite-Hadamard Inequality With Tempered Fractional Integrals”. Cumhuriyet Science Journal, vol. 44, no. 4, Dec. 2023, pp. 758-67, doi:10.17776/csj.1320515.

Vancouver

1.Tuba Tunç, Ayşe Nur Altunok. New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals. CSJ. 2023 Dec. 1;44(4):758-67. doi:10.17776/csj.1320515