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

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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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-09-24
DOI
https://doi.org/10.5269/bspm.76951
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

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

Asfand Fahad, Muhammad Shoaib Saleem, Muhammad Imran Qureshi, Nasir Ali et al.
Boletim da Sociedade Paranaense de Matemática
Mathematical Inequalities and Applications
article

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

Asfand Fahad, Muhammad Shoaib Saleem, Muhammad Imran Qureshi, Nasir Ali, Saima Sattas
article en

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.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Bahauddin Zakariya University (PK), COMSATS University Islamabad (PK), University of Okara (PK)
Openalex Percentile: Top 62%
Mathematical Inequalities and Applications
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Generalized Hermite-Hadamard type inequalities for MT-Non-convex functions via fractional integrals — Asfand Fahad, Muhammad Shoaib Saleem, et al. · Boletim da Sociedade Paranaense de Matemática (2025) | TGRS Research Map | TGRS