Exploring Hermite–Hadamard-type Inequalities via ψ-conformable Fractional Integral Operators

New Hermite-Hadamard inequalities for convex functions utilizing ψ-conformable fractional integral operators have been established. These represent extensions of many significant fractional operators, such as the Riemann-Liouville and Hadamard operators. Additionally, we establish generalized midpoint- and trapezoidal-type inequalities for these fractional integrals. These inequalities are expansions of other prior investigations.

Authors

Institutions

Publication Details

Journal
Journal of Inequalities and Mathematical Analysis
Published
2025-04-14
DOI
https://doi.org/10.63286/jima.2025.02
Citations
1
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
3.73
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Exploring Hermite–Hadamard-type Inequalities via ψ-conformable Fractional Integral Operators

Bouharket Benaissa, Noureddine Azzouz
1 citations
Journal of Inequalities and Mathematical Analysis
Mathematical Inequalities and Applications
3.73
article

Exploring Hermite–Hadamard-type Inequalities via ψ-conformable Fractional Integral Operators

Bouharket Benaissa, Noureddine Azzouz
article en
1 citations

Abstract

New Hermite-Hadamard inequalities for convex functions utilizing ψ-conformable fractional integral operators have been established. These represent extensions of many significant fractional operators, such as the Riemann-Liouville and Hadamard operators. Additionally, we establish generalized midpoint- and trapezoidal-type inequalities for these fractional integrals. These inequalities are expansions of other prior investigations.

Journal of Inequalities and Mathematical Analysis
Université IBN Khaldoun Tiaret (DZ), Centre Universitaire Nour Bachir El Bayadh (DZ)
Openalex Percentile: Top 11%
Mathematical Inequalities and Applications
3.73
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.