On convergence in area in the generalized sense

DOI10.1016/0022-247X(83)90275-5zbMath0523.49028MaRDI QIDQ1056368

Primo Brandi, Anna Salvadori

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Burkill-Cesari integralconvergence in areafunctions of bounded variation in the sense of Cesari

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Length, area, volume, other geometric measure theory (28A75) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (6)

General convergence theorem with respect to Cesari variation and applications ⋮ On the lower semicontinuity of certain integrals of the calculus of variations ⋮ Nonlinear integration and Weierstrass integral over a manifold, connections with theorems on martingales ⋮ The work of calogero vinti in approximation theory and its impact in calculus of variations ⋮ On approximation properties of certain non-convolution integral operators ⋮ The nonparametric integral of the calculus of variations as a Weierstrass integral. II: Some applications

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• Convergence in Area of Integral Means

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