Trapezoidal and Midpoint-type Inequalities Based on Extended Conformable Operators
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6139Keywords:
Extended conformable fractional operators , Trapezoidal-type inequalities, Midpoint-type inequalities, H\"older's inequality, Power mean inequalityAbstract
In this paper, we are explore some inequalities derived from twice differentiable functions together with the extended conformable fractional operators. First, we investigate two lemmas using extended conformable fractional operators. Then, we utilize these results to explore some new trapezoidal and midpoint-type inequalities through the use of the convex property of twice differentiable functions. Moreover, using the power mean inequality and H\"older's inequality, we introduce a new class of inequalities. The explored results are validated through different 2D and 3D graphs. This new class extends the results of previous research studies. The present paper seeks to motivate researchers to apply these concepts to other fractional operators.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Muhammad Samraiz, Muhammad Qasim, Gauhar Rahman, Muhammad Sarwar, Nahid Fatima, Kamaleldin Abodayeh
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.
By agreeing to this statement, you acknowledge that:
- You retain full copyright over your work.
- The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
- This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.