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math.NA2026
Refined Gauss--Lobatto bounds for odd-order convexity
Tomasz Kania, Szymon Wąsowicz
For functions that are convex of higher order, classical extremalities identify Gaussian quadrature as a lower bound and Gauss--Lobatto quadrature as an upper bound for the integra…
math.NA2026
Adaptive integration of 5-convex and 5-concave functions
Szymon Wąsowicz
An adaptive method connected with 3-point Gauss quadrature and 4-point Lobatto quadrature is introduced and investigated for 5-convex functions.