Sharp Error Bounds for Weddle's Quadrature via a Novel Twice‐Differentiable Convex Kernel
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DOI: 10.1002/mma.70283
Abstract: This paper introduces novel error bounds for Weddle's quadrature rule—a sixth‐degree Newton–Cotes numerical integration method—using a new kernel. Unlike classical approaches requiring six‐time differentiability, our results leverage twice‐differentiable convex functions to derive tighter error estimates,… read more here.
Keywords: quadrature; error bounds; weddle quadrature; twice differentiable ... See more keywords