Hermite-Hadamard type Inequalities via $p$--Harmonic Exponential type Convexity and Applications

Muhammad Tariq

doi:10.32323/ujma.870050

EN

Hermite-Hadamard type Inequalities via $p$--Harmonic Exponential type Convexity and Applications

Abstract

In this work, we introduce the idea and concept of $p$--harmonic exponential type convex functions. We elaborate on the newly introduced idea by examples and some interesting algebraic properties. In addition, we attain the novel version of Hermite--Hadamard type inequality in the mode of the newly introduced definition and on the basis of lemmas, some refinements of the Hermite--Hadamard type inequalities in the support of the newly introduced idea are established. Finally, we investigate and explore some integral inequalities in the form of applications for the arithmetic, geometric, harmonic and logarithmic means. The amazing tools and interesting ideas of this work may inspire and motivate further research in this direction furthermore.

Keywords

Hermite--Hadamard type inequality , , Harmonic convex functions , , p-harmonic exponential type convex functions

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Muhammad Tariq ^*
0000-0001-8372-2532
Pakistan

Publication Date

June 30, 2021

Submission Date

January 28, 2021

Acceptance Date

May 10, 2021

Published in Issue

Year 2021 Volume: 4 Number: 2

DOI

https://doi.org/10.32323/ujma.870050

IZ

https://izlik.org/JA82AH98CZ

APA

Tariq, M. (2021). Hermite-Hadamard type Inequalities via $p$--Harmonic Exponential type Convexity and Applications. Universal Journal of Mathematics and Applications, 4(2), 59-69. https://doi.org/10.32323/ujma.870050

AMA

1.Tariq M. Hermite-Hadamard type Inequalities via $p$--Harmonic Exponential type Convexity and Applications. Univ. J. Math. Appl. 2021;4(2):59-69. doi:10.32323/ujma.870050

Chicago

Tariq, Muhammad. 2021. “Hermite-Hadamard Type Inequalities via $p$--Harmonic Exponential Type Convexity and Applications”. Universal Journal of Mathematics and Applications 4 (2): 59-69. https://doi.org/10.32323/ujma.870050.

EndNote

Tariq M (June 1, 2021) Hermite-Hadamard type Inequalities via $p$--Harmonic Exponential type Convexity and Applications. Universal Journal of Mathematics and Applications 4 2 59–69.

IEEE

[1]M. Tariq, “Hermite-Hadamard type Inequalities via $p$--Harmonic Exponential type Convexity and Applications”, Univ. J. Math. Appl., vol. 4, no. 2, pp. 59–69, June 2021, doi: 10.32323/ujma.870050.

ISNAD

Tariq, Muhammad. “Hermite-Hadamard Type Inequalities via $p$--Harmonic Exponential Type Convexity and Applications”. Universal Journal of Mathematics and Applications 4/2 (June 1, 2021): 59-69. https://doi.org/10.32323/ujma.870050.

JAMA

1.Tariq M. Hermite-Hadamard type Inequalities via $p$--Harmonic Exponential type Convexity and Applications. Univ. J. Math. Appl. 2021;4:59–69.

MLA

Tariq, Muhammad. “Hermite-Hadamard Type Inequalities via $p$--Harmonic Exponential Type Convexity and Applications”. Universal Journal of Mathematics and Applications, vol. 4, no. 2, June 2021, pp. 59-69, doi:10.32323/ujma.870050.

Vancouver

1.Muhammad Tariq. Hermite-Hadamard type Inequalities via $p$--Harmonic Exponential type Convexity and Applications. Univ. J. Math. Appl. 2021 Jun. 1;4(2):59-6. doi:10.32323/ujma.870050