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.
Authors
- Atiq Ur Rehman (ORCID: https://orcid.org/0000-0002-7368-0700)
- Ghazala Gulshan (ORCID: https://orcid.org/0000-0002-7867-3630)
- Rashida Hussain (ORCID: https://orcid.org/0000-0003-4507-6255)
- Hüseyin Budak (ORCID: https://orcid.org/0000-0001-8843-955X)
Institutions
- Kocaeli Üniversitesi (TR)
- Mirpur University of Science and Technology (PK)
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
- 0.00