Generalized Hermite-Hadamard type inequalities for MT-Non-convex functions via fractional integrals

Muhammad Imran Qureshi; Saima  Sattar; Asfand  Fahad; Nasir  Ali; Muhammad Shoaib  Saleem

doi:10.5269/bspm.76951

Muhammad Imran Qureshi Department of Mathematics, COMSATS University Islamabad, Vehari Campus
Saima Sattar Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Pakistan.
Asfand Fahad Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan
Nasir Ali Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Pakistan.
Muhammad Shoaib Saleem Department of Mathematics, University of Okara, Okara 56300, Pakistan

Abstract

In this paper, we considered the class of \textit{MT-Non-convex functions}. We also established some new generalized fractional integral inequalities of Hermite-Hadamard type for \textit{MT-Non-convex} functions and to explore some new Hermite-Hadamard type inequalities in a form of generalized Riemann-Liouville fractional integrals as well as classical integrals, respectively. These newly established inequalities generalize some known results.

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