An expanded analysis of local fractional integral inequalities via generalized (s,P)-convexity

This research aims to scrutinize specific parametrized integral inequalities linked to 1, 2, 3, and 4-point Newton-Cotes rules applicable to local fractional differentiable generalized ( s , P ) -convex functions. To accomplish this objective, we introduce a novel integral identity and deduce multip...

Full description

Saved in:
Bibliographic Details
Published inJournal of inequalities and applications Vol. 2024; no. 1; pp. 78 - 22
Main Authors Li, Hong, Lakhdari, Abdelghani, Jarad, Fahd, Xu, Hongyan, Meftah, Badreddine
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2024
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Biparametrized identity
Convex analysis
Convexity
Fractal set
Fractals
Fractional calculus
Generalized ( s , P ) $(s,P)$ -convex functions
Geometry
Graphical representations
Inequalities
Inequality
Local fractional integral
Mathematics
Mathematics and Statistics
Newton-Cotes formula
Newton-Cotes formula
Fractal set
Generalized
convex functions
Local fractional integral
Biparametrized identity
Online AccessGet full text

Cover

More Information
Summary:This research aims to scrutinize specific parametrized integral inequalities linked to 1, 2, 3, and 4-point Newton-Cotes rules applicable to local fractional differentiable generalized ( s , P ) -convex functions. To accomplish this objective, we introduce a novel integral identity and deduce multiple integral inequalities tailored to mappings within the aforementioned function class. Furthermore, we present an illustrative example featuring graphical representations and potential practical applications.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-024-03152-y