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The inversion of approximate and dyadic derivatives using an extension of the Henstock integral

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Publication:757626
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zbMath0723.26005MaRDI QIDQ757626

Russell A. Gordon

Publication date: 1991

Published in: Real Analysis Exchange (Search for Journal in Brave)


zbMATH Keywords

dyadic derivativesdyadic Henstock integralHenstock-type integral


Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Denjoy and Perron integrals, other special integrals (26A39)


Related Items (6)

The Ward property for a \(\mathcal P\)-adic basis and the \(\mathcal P\)-adic integral. ⋮ The AP-Denjoy and AP-Henstock integrals revisited ⋮ Variational measures related to local systems and the Ward property of $$\mathcal{P}$$ -adic path bases ⋮ Some Kurzweil-Henstock-type integrals and the wide Denjoy integral ⋮ On dyadic integrals and some other integrals associated with local systems ⋮ On variational measures related to some bases







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