Jensen-type generalized quadratic fractional integral inequalities

This work introduces a generalized quadratic (double) fractional integral operator and derives a two-dimensional extension of Jensen’s inequality for functions integrable on rectangular domains in R 2 . To illustrate and validate our findings, some examples are provided. Many established results in the literature are derived as special cases of our results.

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Publication Details

Journal
Examples and Counterexamples
Published
2025-05-29
DOI
https://doi.org/10.1016/j.exco.2025.100189
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Jensen-type generalized quadratic fractional integral inequalities

McSylvester Ejighikeme Omaba
Examples and Counterexamples
Mathematical Inequalities and Applications
article

Jensen-type generalized quadratic fractional integral inequalities

McSylvester Ejighikeme Omaba
article en

Abstract

This work introduces a generalized quadratic (double) fractional integral operator and derives a two-dimensional extension of Jensen’s inequality for functions integrable on rectangular domains in R 2 . To illustrate and validate our findings, some examples are provided. Many established results in the literature are derived as special cases of our results.

Examples and CounterexamplesVol. 7
University of Hafr Al-Batin (SA)
University of Hafr Al Batin
Reduced inequalities
Openalex Percentile: Top 83%
Mathematical Inequalities and Applications
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Jensen-type generalized quadratic fractional integral inequalities — McSylvester Ejighikeme Omaba · Examples and Counterexamples (2025) | TGRS Research Map | TGRS