Some Hermite-Hadamard Type Integral Inequalities and Their Applications via the Modified Riemann-Liouville Fractional Integral Operator

Authors

  • Gul Bahar Department of Basic Sciences and Related Studies, Mehran UET, Jamshoro, Pakistan
  • Muhammad Tariq Department of Basic Sciences and Related Studies, Mehran UET, Jamshoro, Pakistan
  • Asif Ali Shaikh Department of Basic Sciences and Related Studies, Mehran UET, Jamshoro, Pakistan
  • Clemente Cesarano Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39,00186 Roma, Italy

DOI:

https://doi.org/10.48165/gjs.2024.1203

Keywords:

Preinvex functions, Hadamard inequality

Abstract

The aim of this manuscript is to introduce a novel form of H-H inequality via ψ-RLFIO for preinvex functions. By employing this approach, we construct a new lemma. In addition, based on this newly derived fractional identity, some new estimation of fractional H-H inequality involving m-preinvex via ψ-RLFIO is investigated. Further, we add some mean-type applications.

References

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Published

2024-12-27

How to Cite

Some Hermite-Hadamard Type Integral Inequalities and Their Applications via the Modified Riemann-Liouville Fractional Integral Operator . (2024). Global Journal of Sciences, 1(2), 22-27. https://doi.org/10.48165/gjs.2024.1203