New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals

The Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed. The outcomes are new Hermite–Hadamard–Fejér-type inequalities via Raina fractional integrals for m-convex functions. The findings are extensions of many previous investigations.

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Journal
Boundary Value Problems
Published
2024-11-13
DOI
https://doi.org/10.1186/s13661-024-01963-y
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals

Ammara Nosheen, Khuram Ali Khan, Khadijah M. Abualnaja, Maria Tariq
Boundary Value Problems
Mathematical Inequalities and Applications
article

New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals

Ammara Nosheen, Khuram Ali Khan, Khadijah M. Abualnaja, Maria Tariq
article en

Abstract

The Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed. The outcomes are new Hermite–Hadamard–Fejér-type inequalities via Raina fractional integrals for m-convex functions. The findings are extensions of many previous investigations.

Boundary Value ProblemsVol. 2024(1)
University of Lahore (PK), University of Sargodha (PK), Taif University (SA)
Taif University
Reduced inequalities
Openalex Percentile: Top 67%
Mathematical Inequalities and Applications
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New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals — Ammara Nosheen, Khuram Ali Khan, et al. · Boundary Value Problems (2024) | TGRS Research Map | TGRS