Results 1 to 10 of about 299 (67)
Some variants of Lagrange’s mean value theorem
Selecciones Matemáticas, 2020 In this note we prove some variants of Lagrange’s mean value theorem. The main tools to prove these results are some elementary auxiliary functions.
German Lozada-Cruz
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The Mean Value Theorem in the Context of Generalized Approach to Differentiability
Mathematics, 2023 The article is a natural continuation of the systematic research of the properties of the generalized concept of differentiability for functions with a domain X⊂Rn that is not necessarily open, at points that allow a neighbourhood ray in the domain.
Nikola Koceić-Bilan +1 more
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On some mean value theorem via covering argument
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 We show how the full covering argument can be used to prove some type of Cauchy mean value theorem.
Sokołowski Dariusz
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On Generalized Flett's Mean Value Theorem
International Journal of Mathematics and Mathematical Sciences, 2012 We present a new proof of generalized Flett's mean value theorem due to Pawlikowska (from 1999) using only the original Flett's mean value theorem. Also, a Trahan-type condition is established in general case.
Jana Molnárová
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Sensitivity of the “intermediate point” in the mean value theorem: an approach via the Legendre-Fenchel transformation [PDF]
ESAIM: Proceedings and Surveys, 2021 We study the sensitivity, essentially the differentiability, of the so-called “intermediate point” c in the classical mean value theorem fa-f(b)b-a=f'(c)$ \frac{f(a)-f(b)}{b-a}={f}^{\prime}(c)$we provide the expression of its gradient ∇c(d,d), thus ...
Hiriart-Urruty Jean-Baptiste
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Flett's mean value theorem in topological vector spaces
International Journal of Mathematics and Mathematical Sciences, 2001 We prove some generalizations of Flett's mean value theorem for a class of Gateaux differentiable functions f:X→Y, where X and Y are topological vector spaces.
Robert C. Powers +2 more
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Error term of the mean value theorem for binary Egyptian fractions
Open Mathematics, 2020 In this article, the error term of the mean value theorem for binary Egyptian fractions is studied. An error term of prime number theorem type is obtained unconditionally. Under Riemann hypothesis, a power saving can be obtained.
Xiao Xuanxuan, Zhai Wenguang
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Equation of Finite Change and Structural Analysis of Mean Value
Axioms, 2023 This paper describes a problem of finding the contributions of multiple variables to a change in their function. Such a problem is well known in economics, for example, in the decomposition of a change in the mean price via the varying in time prices and
Stan Lipovetsky
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A Popoviciu-type mean value theorem
Journal of Numerical Analysis and Approximation Theory, 1997 Not available.
Dumitru Mircea Ivan, I Rașa
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The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel
Advances in Difference Equations, 2018 We establish analogues of the mean value theorem and Taylor’s theorem for fractional differential operators defined using a Mittag–Leffler kernel. We formulate a new model for the fractional Boussinesq equation by using this new Taylor series expansion.
Arran Fernandez, Dumitru Baleanu
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