A Riemann type integration and the fundamental theorem of calculus

DOI10.1007/BF02844902zbMath0669.26007MaRDI QIDQ1118707

Washek F. Pfeffer

Publication date: 1987

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

Stokes theoremStokes formulaRiemann sumsnonabsolute integralsRiemann type integral on differentiable manifolds

Mathematics Subject Classification ID

Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Related Items (5)

Product variational measures and Fubini--Tonelli type theorems for the Henstock--Kurzweil integral ⋮ Characterisation of multipliers for the double Henstock integrals ⋮ A Riemann Type Definition of a Variational Integral ⋮ Equivalent definitions of regular generalized Perron integral ⋮ A descriptive definition of some multidimensional gauge integrals

Cites Work

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• On Mawhin's approach to multiple nonabsolutely convergent integral
• The surface integral
• The Divergence Theorem
• A non absolutely convergent integral which admits transformation and can be used for integration on manifolds
• A Unified Theory of Integration
• On the Integrability of a Product

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