Adaptive integration of 5-convex and 5-concave functions
Szymon W\k{a}sowicz
TL;DR
This paper introduces an adaptive numerical integration method combining Gauss and Lobatto quadrature techniques specifically designed for 5-convex functions, aiming to improve integration accuracy.
Contribution
It presents a novel adaptive integration approach that effectively combines 3-point Gauss and 4-point Lobatto quadrature for 5-convex functions.
Findings
Enhanced accuracy for 5-convex functions
Effective combination of quadrature methods
Potential for improved numerical integration
Abstract
An adaptive method connected with 3-point Gauss quadrature and 4-point Lobatto quadrature is introduced and investigated for 5-convex functions.
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Taxonomy
TopicsIterative Methods for Nonlinear Equations · Mathematical Inequalities and Applications · Optimization and Variational Analysis