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The Mean Value Theorem and It’s Application.
Science and Technology of Engineering, Chemistry and Environmental ProtectionThe Mean Value Theorem (MVT) is the central theorem of differential Calculus. It’s the major tool to research on function, also bridging the gap between function and derivative. There are lot of researchers focus on it from ancient times until now. This article introduces details about two mean theorems include the Rolle’s Theorem and Lagrange Theorem.
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A Mean Value Theorem for Tangentially Convex Functions
Set-Valued and Variational Analysis, 2023Juan Enrique Martínez-Legaz
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A stronger version of the second mean value theorem for integrals
Computers and Mathematics With Applications, 2012Konrad Kaczmarek +2 more
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The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus
Fractional Calculus and Applied Analysis, 2012Kai Diethelm
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A proof for Antczak’s mean value theorem in invexity analysis
Nonlinear Analysis: Theory, Methods & Applications, 2008Majid Soleimani-damaneh
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A mean value theorem in Asplund spaces
Nonlinear Analysis: Theory, Methods & Applications, 2008Majid Soleimani-damaneh
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A Different Version of Flett's Mean Value Theorem and an Associated Functional Equation
Acta Mathematica Sinica, English Series, 2004Thomas Riedel, Maciej Sablik
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Approximate mean value theorem for upper subderivatives
Nonlinear Analysis: Theory, Methods & Applications, 1988Dariusz Zagrodny
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A discrete multivariate mean value theorem with applications
European Journal of Operational Research, 2009Zaifu Yang
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