Monosplines of minimal norm and the best quadrature formulae

CONTENTS Introduction § 1. On spline functions § 2. Closures of sets of monosplines § 3. Theorems on zeros of monosplines § 4. Extremal properties of a monospline with multiple nodes § 5. Existence and structure of the optimal monospline § 6 Uniqueness of the optimal monospline § 7 On the best quadrature formulae § 8. On optimality of formulae of Euler-Mclaurin type Conclusion References

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