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An Expanded Analysis of Local Fractionalintegral Inequalities Via Generalized (s,p)-Convexity

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Date

2024

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Journal ISSN

Volume Title

Publisher

Springer

Open Access Color

GOLD

Green Open Access

Yes

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No
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Abstract

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.

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Keywords

Newton-Cotes Formula, Biparametrized Identity, (S,P)-Convexity, Local Fractional Integral, Fractal Set, Artificial intelligence, Class (philosophy), Economics, Geometry, Evolutionary biology, Local Convergence, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Fractional Integrals, Convexity, Differentiable function, Convex function, QA1-939, FOS: Mathematics, Biology, Generalized ( s , P ) $(s,P)$ -convex functions, Numerical Analysis, Applied Mathematics, Matrix Inequalities, Biparametrized identity, Stability of Functional Equations in Mathematical Analysis, Applied mathematics, Computer science, Fixed Point Approach, Regular polygon, Algorithm, Function (biology), Newton-Cotes formula, Physical Sciences, Local fractional integral, Fractal set, Mathematics, Finance, Convexity of real functions in one variable, generalizations, Fractional derivatives and integrals, generalized \((s, P)\)-convex functions, local fractional integral, Inequalities involving derivatives and differential and integral operators, fractal set, Inequalities for sums, series and integrals, biparametrized identity

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OpenCitations Citation Count
8

Source

Journal of Inequalities and Applications

Volume

2024

Issue

1

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Citations

CrossRef : 1

Scopus : 11

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