Symmetric midpoint-type inequalities for (α,m)-convex functions with applications

In this study, we establish a modified version of the right symmetric quantum midpoint-type inequalities via ([Formula: see text], [Formula: see text])-convex differentiable functions with [Formula: see text]. A few fundamental inequalities like Power mean and Hölder’s have been applied to acquire recent results. The newly established findings can be changed into classical midpoint-type inequalities as well as [Formula: see text]-midpoint-type inequalities for convex functions. Additionally, we provide an example and graph that support our main findings. It is supposed that these concepts and methods may encourage new analysis.

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Publication Details

Journal
International Journal of Geometric Methods in Modern Physics
Published
2024-11-15
DOI
https://doi.org/10.1142/s0219887825500197
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
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article

Symmetric midpoint-type inequalities for (α,m)-convex functions with applications

Atiq Ur Rehman, Ghazala Gulshan, Rashida Hussain, Hüseyin Budak
International Journal of Geometric Methods in Modern Physics
Mathematical Inequalities and Applications
article

Symmetric midpoint-type inequalities for (α,m)-convex functions with applications

Atiq Ur Rehman, Ghazala Gulshan, Rashida Hussain, Hüseyin Budak
article en

Abstract

In this study, we establish a modified version of the right symmetric quantum midpoint-type inequalities via ([Formula: see text], [Formula: see text])-convex differentiable functions with [Formula: see text]. A few fundamental inequalities like Power mean and Hölder’s have been applied to acquire recent results. The newly established findings can be changed into classical midpoint-type inequalities as well as [Formula: see text]-midpoint-type inequalities for convex functions. Additionally, we provide an example and graph that support our main findings. It is supposed that these concepts and methods may encourage new analysis.

International Journal of Geometric Methods in Modern PhysicsVol. 22(07)
Kocaeli Üniversitesi (TR), Mirpur University of Science and Technology (PK)
Reduced inequalities
Openalex Percentile: Top 66%
Mathematical Inequalities and Applications
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