Zobrazeno 1 - 10
of 686
pro vyhledávání: '"Mean value theorem (divided differences)"'
Autor:
V. N. Chubarikov
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 314:290-299
A mean-value theorem for multiple trigonometric (exponential) sums on the sequence of Bell polynomials is proved. It generalizes I. M. Vinogradov’s and G. I. Arkhipov’s theorems. As is well known, a mean-value theorem of this type is at the core
Autor:
Jean-Baptiste Hiriart-Urruty
Publikováno v:
ESAIM: Proceedings and Surveys
ESAIM: Proceedings and Surveys, 2021, 71, pp.114-120. ⟨10.1051/proc/202171114⟩
ESAIM: Proceedings and Surveys, Vol 71, Pp 114-120 (2021)
ESAIM: Proceedings and Surveys, 2021, 71, pp.114-120. ⟨10.1051/proc/202171114⟩
ESAIM: Proceedings and Surveys, Vol 71, Pp 114-120 (2021)
We study the sensitivity, essentially the differentiability, of the so-called “intermediate point” c in the classical mean value theorem $ \frac{f(a)-f(b)}{b-a}={f}^{\prime}(c)$we provide the expression of its gradient ∇c(d,d), thus giving the
Publikováno v:
Transactions of the Institute of Measurement and Control. 43:3267-3271
An online identification method that can simultaneously estimate the unknown system parameter and the unknown time-delay is proposed. Firstly, with the help of Lagrange mean value theorem, the system with time-delay can be transformed into two terms
Autor:
Xiaowei Pan, Xiaoyan Guo
Publikováno v:
Journal of Mathematics, Vol 2021 (2021)
In this paper, we use the mean value theorem of Dirichlet L -functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity
Autor:
Miles H. Wheeler, David Lowry-Duda
Publikováno v:
The American Mathematical Monthly. 128:50-61
The mean value theorem of calculus states that, given a differentiable function f on an interval [a,b] , there exists at least one mean value abscissa c such that the slope of the tangent line at (...
Publikováno v:
Chebyshevskii sbornik. 22:67-75
We continue our researches concerning the generalization and improvement of R.T.Turganaliev’s result that states an asymptotic formula for the mean value of the Riemann zeta function in the critical strip with power factor saving in the remainder t
Autor:
Xuanxuan Xiao, Wenguang Zhai
Publikováno v:
Open Mathematics, Vol 18, Iss 1, Pp 1250-1265 (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. The mean value in sh
Autor:
Lucas Reis
Publikováno v:
International Journal of Number Theory. 17:1013-1027
This paper provides a mean value theorem for arithmetic functions $f$ defined by $$f(n)=\prod_{d|n}g(d),$$ where $g$ is an arithmetic function taking values in $(0, 1]$ and satisfying some generic conditions. As an application of our main result, we
Autor:
German Lozada-Cruz
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 52:1124-1130
This note deals with some variants of the integral mean value theorem. Mainly a variant of Sahoo's theorem and a variant of Wayment's theorem were proved. Our approach is rather elementary and does...
Autor:
Zhai Yan-hui, SU Xiao-ya
Publikováno v:
International Journal of Mathematics Trends and Technology. 66:105-116