An integral form of the mean value theorem for nondifferentiable mappings

DOI10.1016/0022-247X(72)90130-8zbMath0253.46103OpenAlexW2027497052MaRDI QIDQ2557897

Yanyan Li

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0022-247x(72)90130-8

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) General theory of locally convex spaces (46A03) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Calculus of functions on infinite-dimensional spaces (26E15) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Related Items (1)

An Implicit Function Theorem for Nondifferentiable Mappings

Cites Work

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• Integrals of set-valued functions
• Note on the mean value theorem
• Mean Value Theorems for Vector Valued Functions

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