Results 11 to 20 of about 9,082,759 (197)
Analogues of Fermat's extreme value theorem and Cauchy's mean value theorem in commutative algebras
Researches in MathematicsIn this article, we prove analogues of classical Fermat's extreme value theorem and Cauchy's mean value theorem for functions taking values in commutative algebras.
V. Shpakivskyi
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On the F.Smarandache LCM function and its mean value [PDF]
, 2007 The main purpose of this paper is using the elementary methods to study the mean value properties of ln SL(n), and give a sharper asymptotic formula for ...
Li, Jianghua, Liu, Yanyan
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Vinogradov's mean value theorem via efficient congruencing [PDF]
, 2012 We obtain estimates for Vinogradov's integral that for the first time approach those conjectured to be the best possible. Several applications of these new bounds are provided.
Wooley, Trevor D., Trevor D. Wooley
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Mean-value theorem for vector-valued functions [PDF]
, 2012 summary:For a differentiable function ${\bf f}\colon I\rightarrow \mathbb {R}^{k},$ where $I$ is a real interval and $k\in \mathbb {N}$, a counterpart of the Lagrange mean-value theorem is presented. Necessary and sufficient conditions for the existence
Matkowski, Janusz
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Value distribution of the F.Smarandache LCM function [PDF]
, 2006 The main purpose of this paper is using the elementary methods to study the value distribution properties of the function SL(n), and give a sharper value distribution ...
Chen, Jianbin, Jianbin Chen
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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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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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Hyers-Ulam Stability of Lagrange’s Mean Value Points in Two Variables
Mathematics, 2018 Using a theorem of Ulam and Hyers, we will prove the Hyers-Ulam stability of two-dimensional Lagrange’s mean value points ( η , ξ ) which satisfy the equation, f ( u , v ) − f ( p , q ) = ( u − p ) f x ( &#
Soon-Mo Jung, Ji-Hye Kim
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Constraints on stochastic heat probability prescribed by exchange fluctuation theorems
Results in Physics, 2020 The amount of heat transfer from one body to another during a finite time contact is a stochastic variable. The observed probability of heat can be prescribed by the exchange fluctuation theorem and its extensions; however, it should be stipulated in ...
Takuya Yamano
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Remote Sensing, 2023 Downward continuation is a key technique for processing and interpreting gravity anomalies, as it has a major role in reducing values to horizontal planes and identifying small and shallow sources. However, it can be unstable and inaccurate, particularly
Chong Zhang +4 more
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