Hu Hong
Abstract
The inverse problems of Differential Mean Value Theorem were studied, including Lagrange theorem and Taylor Theorem. The Inverse Theorems of Lagrange Theorem and Taylor Theorem were proved to be valid under some conditions. The theoretical bases were given for the application of Differential Mean Value Theorem.
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The inverse problems of Differential Mean Value Theorem were studied, including Lagrange theorem and Taylor Theorem. The Inverse Theorems of Lagrange Theorem and Taylor Theorem were proved to be valid under some conditions. The theoretical bases were given for the application of Differential Mean Value Theorem.
Key concepts: Mean value theorem (divided differences), Mathematics, Taylor's theorem, Inverse, Picard–Lindelöf theorem, Fundamental theorem of calculus, Brouwer fixed-point theorem, Fundamental theorem