Results 31 to 40 of about 1,900,675 (267)
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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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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Approach to a Proof of the Riemann Hypothesis by the Second Mean-Value Theorem of Calculus [PDF]
, 2016 By the second mean-value theorem of calculus (Gauss-Bonnet theorem) we prove that the class of functions ${\mit \Xi}(z)$ with an integral representation of the form $\int_{0}^{+\infty}du\,{\mit \Omega}(u)\,{\rm ch}(uz)$ with a real-valued function ${\mit
A. Wunsche
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The cubic case of Vinogradov’s mean value theorem [PDF]
Essential Number Theory, 2015 This is an expository paper, giving a simplified proof of the cubic case of the main conjecture for Vinogradov's mean value theorem.
D. R. Heath-Brown
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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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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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Axioms, 2022 In this paper, we obtain some univariate and multivariate Ostrowski-type inequalities using the Atangana–Baleanu fractional derivative in the sense of Liouville–Caputo (ABC).
Henok Desalegn Desta +3 more
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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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MEAN VALUES, MOMENTS, MOMENT RATIOS AND A GENERALIZED MEAN VALUE THEOREM FOR SIZE DISTRIBUTIONS
Ceramics - Silikaty, 2019 Generalized mean values of size distributions are defined via the general power mean, using Kronecker’s delta to allow for the geometric mean. Special cases of these generalized mean values are the superarithmetic, arithmetic, geometric, harmonic and ...
W. Pabst
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