A comprehensive analysis of Riemann-Liouville fractional multiplicative integral inequalities

In this article, we explored a comprehensive class of quadrature formulas characterized by a bi-parametric expression via the concept of multiplicative $ (s, P) $-convexity. Inspired by prior works in this field, we investigated formulas with varying points (ranging from $ 1 $ to $ 4 $) and established associated fractional multiplicative inequalities for functions whose multiplicative first-order derivatives exhibit multiplicative $ (s, P) $-convexity.

Authors

Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.20251117
Citations
1
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
3.73
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article

A comprehensive analysis of Riemann-Liouville fractional multiplicative integral inequalities

Mohamed Rhaima, Badreddine Meftah, Abdelghani Lakhdari, Lassaad Mchiri et al.
1 citations
AIMS Mathematics
Mathematical Inequalities and Applications
3.73
article

A comprehensive analysis of Riemann-Liouville fractional multiplicative integral inequalities

Mohamed Rhaima, Badreddine Meftah, Abdelghani Lakhdari, Lassaad Mchiri, Mhamed Eddahbi
article en
1 citations

Abstract

In this article, we explored a comprehensive class of quadrature formulas characterized by a bi-parametric expression via the concept of multiplicative $ (s, P) $-convexity. Inspired by prior works in this field, we investigated formulas with varying points (ranging from $ 1 $ to $ 4 $) and established associated fractional multiplicative inequalities for functions whose multiplicative first-order derivatives exhibit multiplicative $ (s, P) $-convexity.

AIMS MathematicsVol. 10(11)
Openalex Percentile: Top 6%
Mathematical Inequalities and Applications
3.73
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