Mathematical and Computer Modelling of Dynamical Systems (Dec 2024)

A novel class of integral inequalities with graphical approach and diverse applications

  • Muhammad Samraiz,
  • Tahira Atta,
  • Saima Naheed,
  • Thabet Abdeljawad,
  • Muhammad Tanveer Ghaffar

DOI
https://doi.org/10.1080/13873954.2024.2326818
Journal volume & issue
Vol. 30, no. 1
pp. 156 – 178

Abstract

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ABSTRACTIn this paper, we investigate a novel class of Hermite-Hadamard inequalities applicable to functions with h-convex absolute derivatives. Graphical representations are provided to bolster the validity of our key findings. Some limiting results of our main findings are discussed as corollaries. Furthermore, we establish error estimates in terms of trapezoid formulae for differences between generalized means.

Keywords