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Research Article

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

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.

Article information

Journal

Journal of Mathematics and Statistics Studies

Volume (Issue)

5 (2)

Pages

13-20

Published

2024-06-16

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

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Keywords:

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