Results 11 to 20 of about 745,922 (284)
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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Multigrade efficient congruencing and Vinogradov's mean value theorem [PDF]
, 2015 We develop a multigrade enhancement of the efficient congruencing method to estimate Vinogradov's integral of degree $k$ for moments of order $2s$, thereby obtaining near-optimal estimates for $\tfrac{5}{8}k ...
Wooley, Trevor D.
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Approximating the main conjecture in Vinogradov's mean value theorem [PDF]
, 2014 We apply multigrade efficient congruencing to estimate Vinogradov's integral of degree $k$ for moments of order $2s$, establishing strongly diagonal behaviour for $1\le s\le \frac{1}{2}k(k+1)-\frac{1}{3}k+o(k)$.
Wooley, Trevor D.
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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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A General Mean-Value Theorem [PDF]
Transactions of the American Mathematical Society, 1924 In a paper published in 1906t, Professor G. D. Birkhoff treated the meanvalue and remainder theorems belonging to polynomial interpolation, in which the linear differelntial operator lt(n) played a particular role. It is natural to expect that a generalization of many of the ideas of that paper may apply to the general linear differential operator of ...
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A strong form of almost differentiability [PDF]
, 2009 We present a uniformization of Reeken's macroscopic differentiability (see [5]), discuss its relations to uniform differentiability (see [6]) and classical continuous differentiability, prove the corresponding chain rule, Taylor's theorem, mean value ...
Almeida, R., Neves, V.
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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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Mean Value Theorems on Manifolds [PDF]
Asian Journal of Mathematics, 2007 We derive several mean value formulae on manifolds, generalizing the classical one for harmonic functions on Euclidean spaces as well as later results of Schoen-Yau, Michael-Simon, etc, on curved Riemannian manifolds. For the heat equation a mean value theorem with respect to `heat spheres' is proved for heat equation with respect to evolving ...
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The Mean Value Theorem for Integrals Method for Estimating Two-Dimensional Renewal Functions
JTAM (Jurnal Teori dan Aplikasi Matematika), 2020 An important aspect in the provision of a two-dimensional warranty is the expected number of failures of a component during the two-dimensional warranty period.
Leopoldus Ricky Sasongko +1 more
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