Generalized Fractional Integral Inequalities of <i>σ</i> ‐Convex Functions

In this paper, we prove generalized fractional integral inequalities of Hermite–Hadamard–type with respect to a monotone function for σ ‐convex functions on account of the Riemann–Liouville fractional integral. Furthermore, we generalize the main results in the form of k ‐fractional Riemann–Liouville integrals.

Authors

Institutions

Publication Details

Journal
Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.1155/jom/8812733
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Generalized Fractional Integral Inequalities of σ ‐Convex Functions

Harish Nagar, Shweta Lather
Journal of Mathematics
Mathematical Inequalities and Applications
article

Generalized Fractional Integral Inequalities of σ ‐Convex Functions

Harish Nagar, Shweta Lather
article en

Abstract

In this paper, we prove generalized fractional integral inequalities of Hermite–Hadamard–type with respect to a monotone function for σ ‐convex functions on account of the Riemann–Liouville fractional integral. Furthermore, we generalize the main results in the form of k ‐fractional Riemann–Liouville integrals.

Journal of MathematicsVol. 2025(1)
Chandigarh University (IN)
Openalex Percentile: Top 47%
Mathematical Inequalities and Applications
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.

Generalized Fractional Integral Inequalities of <i>σ</i> ‐Convex Functions — Harish Nagar, Shweta Lather · Journal of Mathematics (2025) | TGRS Research Map | TGRS