Hermite-Hadamard Type Inequality and its Applications via Modified Riemann Liouville Fractional Integral Operator

Authors

  • Gul Bahar Department of Basic Sciences and Related Studies, Mehran UET, Jamshoro, Pakistan
  • Muhammad Tariq Department of Mathematics, Balochistan Residential College, Loralai, Balochistan,
  • Asif Ali Shaikh Department of Basic Sciences and Related Studies, Mehran UET, Jamshoro, Pakistan
  • Hijaz Ahmad Near East University, Operational Research Center in Healthcare, TRNC Mersin 10, Nicosia, 99138, Turkey

Keywords:

Preinvex functions, Hadamard inequality, Ψ-Riemann-Liouville Fractional Integral Oprator

Abstract

The main aim of this manuscript is to investigate a new form of Hermite Hadamard inequalities via ψ-Riemann-Liouville fractional integrals for preinvex  functions. By em-ploying this approach, we construct a new fractional integral  identity that correlates with preinvex functions. In addition, based on this newly  derived fractional identity, some new estimation of fractional Hermite-Hadamard  type inequality involving m-preinvex via ψ-Riemann-Liouville fractional sense is  investigated. Further, we pointed out some appli-cations for special means. 

Author Biographies

  • Muhammad Tariq, Department of Mathematics, Balochistan Residential College, Loralai, Balochistan,

    Department of Mathematics, Balochistan Residential College, Loralai, Balochistan, Pakistan

  • Hijaz Ahmad, Near East University, Operational Research Center in Healthcare, TRNC Mersin 10, Nicosia, 99138, Turkey

     Section of Mathematics, International Telematic University Uninettuno, 

    Corso Vittorio Emanuele II, 39,00186 Roma, Italy 

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Published

2024-11-12

How to Cite

Hermite-Hadamard Type Inequality and its Applications via Modified Riemann Liouville Fractional Integral Operator. (2024). Global Journal of Sciences, 1(1), 107–114. Retrieved from https://acspublisher.com/journals/index.php/gjs/article/view/19848