A generalised continuous primitive integral and some of its applications

DOI10.14321/REALANALEXCH.47.2.1645501301arXiv2106.03576MaRDI QIDQ6100466

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Publication date: 12 May 2023

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

Full work available at URL: https://arxiv.org/abs/2106.03576

zbMATH Keywords

ordinary differential equationPoisson integralHenstock integralPerron integralLaplace derivativeLaplace integralLaplace continuity

Mathematics Subject Classification ID

Denjoy and Perron integrals, other special integrals (26A39) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)

Cites Work

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• On the symmetric Laplace derivative
• Approximate mean continuous integral
• Henstock-Kurzweil Fourier transforms
• A generalized integral with applications to trigonometric series
• On Laplace derivative
• On Laplace continuity
• Higher Order Derivatives
• Estimates of the Remainder in Taylor's Theorem Using the Henstock-Kurzweil Integral
• Taylor's Theorem Using the Generalized Riemann Integral
• On the Convergence of a Sequence of Perron Integrals
• Linear functionals on Denjoy-integrable functions
• Integrals and Trigonometric Series

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