New symmetric midpoint type inequalities for convex functions

In this study, we first develop symmetric quantum integral identity utilizing the derivatives and integrals of symmetric quantum types. Then, by using this identity, we establish modified versions of midpoint-type inequalities for differentiable convex functions. To obtain recent results, a few basic inequalities such as power mean and H?lder?s, have been utilized. We create links between our results and previous findings in the literature taking q ? 1. For a better understanding and validation of the results, we present numerical results and some graphs. Finally, we provide some examples to illustrate the validity of newly obtained symmetric quantum inequalities. The concepts and methods presented in this work can inspire more investigation.

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2504389h
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

New symmetric midpoint type inequalities for convex functions

Ghazala Gulshan, Rashida Hussain, Hüseyin Budak, Amara Rehman
Filomat
Mathematical Inequalities and Applications
article

New symmetric midpoint type inequalities for convex functions

Ghazala Gulshan, Rashida Hussain, Hüseyin Budak, Amara Rehman
article en

Abstract

In this study, we first develop symmetric quantum integral identity utilizing the derivatives and integrals of symmetric quantum types. Then, by using this identity, we establish modified versions of midpoint-type inequalities for differentiable convex functions. To obtain recent results, a few basic inequalities such as power mean and H?lder?s, have been utilized. We create links between our results and previous findings in the literature taking q ? 1. For a better understanding and validation of the results, we present numerical results and some graphs. Finally, we provide some examples to illustrate the validity of newly obtained symmetric quantum inequalities. The concepts and methods presented in this work can inspire more investigation.

FilomatVol. 39(4)
Düzce Üniversitesi (TR), Mirpur University of Science and Technology (PK)
Openalex Percentile: Top 73%
Mathematical Inequalities and Applications
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New symmetric midpoint type inequalities for convex functions — Ghazala Gulshan, Rashida Hussain, et al. · Filomat (2025) | TGRS Research Map | TGRS