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Adaptive Integration of Convex Functions of One Real Variable

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We present an adaptive method of approximate integration of convex (as well as concave) functions based on a certain refinement of the celebrated Hermite–Hadamard inequality. Numerical experiments are performed and the role of harmonic numbers is shown.

eISSN:
2391-4238
Langue:
Anglais
Périodicité:
2 fois par an
Sujets de la revue:
Mathematics, General Mathematics