Some Inequalities for Differentiable Functions on a Generalization of Hermite-Hadamard Inequality with Applications

Authors

  • Naveedullah Hashimi Lecture at Algebra Department, Mathematics Faculty, Kabul University, Kabul Afghanistan
  • Mohammad Khan Haidary Associate Professor at Algebra Department, Mathematics Faculty, Kabul University, Kabul Afghanistan
  • Sayed Malik Haidary Lecture at Mathematics Department, Education Faculty, Wardak University, Wardak Afghanistan

DOI:

https://doi.org/10.32996/jmss.2024.5.2.2

Keywords:

Trapezoid inequality, Convex function, Hermite-Hadamard inequality, Midpoint inequalities

Abstract

The main identity of midpoint type inequalities is generalized and using this identity some composite midpoint type inequalities are estimated. Moreover, applications to some special means and some error estimates for the composite midpoint formula are discussed.

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Published

2024-06-16

Issue

Vol. 5 No. 2

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Naveedullah Hashimi, Mohammad Khan Haidary, & Sayed Malik Haidary. (2024). Some Inequalities for Differentiable Functions on a Generalization of Hermite-Hadamard Inequality with Applications. Journal of Mathematics and Statistics Studies, 5(2), 13-20. https://doi.org/10.32996/jmss.2024.5.2.2