$\left(m_{1},m_{2}\right) $-Geometric Arithmetically Convex Functions and Related Inequalities

Mahir Kadakal

EN

$\left(m_{1},m_{2}\right) $-Geometric Arithmetically Convex Functions and Related Inequalities

Abstract

In this manuscript, we introduce and study the concept of $\left( m_{1},m_{2}\right) $-geometric arithmetically (GA) convex functions and their some algebric properties. In addition, we obtain Hermite-Hadamard type inequalities for the newly introduced this type of functions whose derivatives in absolute value are the class of $\left( m_{1},m_{2}\right) $ -GA-convex functions by using both well-known power mean and Hölder's integral inequalities.

Keywords

Convex function, m-convex function, (m1;m2)-GA convex function, Hermite-Hadamard inequality

References

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[10] Maden, S. Kadakal, H., Kadakal, M. and ˙I¸scan, ˙I., Some new integral inequalities for n-times differentiable convex and concave functions, Journal of Nonlinear Sciences and Applications, 10(12) (2017), 6141-6148.

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Mahir Kadakal ^*
0000-0002-0240-918X
Türkiye

Publication Date

June 1, 2022

Submission Date

February 6, 2020

Acceptance Date

March 2, 2022

Published in Issue

Year 2022 Volume: 10 Number: 2

IZ

https://izlik.org/JA39KP68WY

APA

Kadakal, M. (2022). $\left(m_{1},m_{2}\right) $-Geometric Arithmetically Convex Functions and Related Inequalities. Mathematical Sciences and Applications E-Notes, 10(2), 63-71. https://izlik.org/JA39KP68WY

AMA

1.Kadakal M. $\left(m_{1},m_{2}\right) $-Geometric Arithmetically Convex Functions and Related Inequalities. Math. Sci. Appl. E-Notes. 2022;10(2):63-71. https://izlik.org/JA39KP68WY

Chicago

Kadakal, Mahir. 2022. “$\left(m_{1},m_{2}\right) $-Geometric Arithmetically Convex Functions and Related Inequalities”. Mathematical Sciences and Applications E-Notes 10 (2): 63-71. https://izlik.org/JA39KP68WY.

EndNote

Kadakal M (June 1, 2022) $\left(m_{1},m_{2}\right) $-Geometric Arithmetically Convex Functions and Related Inequalities. Mathematical Sciences and Applications E-Notes 10 2 63–71.

IEEE

[1]M. Kadakal, “$\left(m_{1},m_{2}\right) $-Geometric Arithmetically Convex Functions and Related Inequalities”, Math. Sci. Appl. E-Notes, vol. 10, no. 2, pp. 63–71, June 2022, [Online]. Available: https://izlik.org/JA39KP68WY

ISNAD

Kadakal, Mahir. “$\left(m_{1},m_{2}\right) $-Geometric Arithmetically Convex Functions and Related Inequalities”. Mathematical Sciences and Applications E-Notes 10/2 (June 1, 2022): 63-71. https://izlik.org/JA39KP68WY.

JAMA

1.Kadakal M. $\left(m_{1},m_{2}\right) $-Geometric Arithmetically Convex Functions and Related Inequalities. Math. Sci. Appl. E-Notes. 2022;10:63–71.

MLA

Kadakal, Mahir. “$\left(m_{1},m_{2}\right) $-Geometric Arithmetically Convex Functions and Related Inequalities”. Mathematical Sciences and Applications E-Notes, vol. 10, no. 2, June 2022, pp. 63-71, https://izlik.org/JA39KP68WY.

Vancouver

1.Mahir Kadakal. $\left(m_{1},m_{2}\right) $-Geometric Arithmetically Convex Functions and Related Inequalities. Math. Sci. Appl. E-Notes [Internet]. 2022 Jun. 1;10(2):63-71. Available from: https://izlik.org/JA39KP68WY