AIMS Mathematics (Apr 2024)

Novel inequalities for subadditive functions via tempered fractional integrals and their numerical investigations

  • Artion Kashuri,
  • Soubhagya Kumar Sahoo,
  • Pshtiwan Othman Mohammed,
  • Eman Al-Sarairah,
  • Nejmeddine Chorfi

DOI
https://doi.org/10.3934/math.2024643
Journal volume & issue
Vol. 9, no. 5
pp. 13195 – 13210

Abstract

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In this paper, we proposed some new integral inequalities for subadditive functions and the product of subadditive functions. Additionally, a novel integral identity was established and a number of inequalities of the Hermite-Hadamard type for subadditive functions pertinent to tempered fractional integrals were proved. Finally, to support the major results, we provided several examples of subadditive functions and corresponding graphs for the newly proposed inequalities.

Keywords