@Article{JNMA-7-1153, author = {Meftah , BadreddineSaleh , WedadAlmatrafi , Mohammed Bakheet and Lakhdari , Abdelghani}, title = {On Fractional Hybrid Integral Inequalities via Extended $s$-Convexity}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {4}, pages = {1153--1178}, abstract = {
In this study, we introduce a novel hybrid identity that successfully combines Newton-Cotes and Gauss quadratures, enabling us to recover both Simpson’s second formula and the left and right Radau 2 point rules, among others. Based on this versatile foundation, we establish some new biparametric fractional integral inequalities for functions whose first derivatives are extended $s$-convex in the second sense. To support our findings, we present illustrative examples featuring graphical representations and conclude with several practical applications to demonstrate the effectiveness of our results.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.1153}, url = {http://global-sci.org/intro/article_detail/jnma/24230.html} }