Results 21 to 30 of about 745,915 (284)
A Quantile-Based Probabilistic Mean Value Theorem [PDF]
, 2015 For non-negative random variables with finite means we introduce an analogous of the equilibrium residual-lifetime distribution based on the quantile function.
Di Crescenzo, Antonio +2 more
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A constructive proof of Simpson's Rule [PDF]
, 2012 For most purposes, one can replace the use of Rolle's theorem and the mean value theorem, which are not constructively valid, by the law of bounded change.
Coquand, Thierry, Spitters, Bas
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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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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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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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Hyers–Ulam Stability of Two-Dimensional Flett’s Mean Value Points
Mathematics, 2019 If a differentiable function f : [ a , b ] → R and a point η ∈ [ a , b ] satisfy f ( η ) − f ( a ) = f ′ ( η ) ( η − a ) , then the point η is called a Flett ...
Soon-Mo Jung, Ji-Hye Kim, Young Woo Nam
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Surveys in Mathematics and its Applications, 2023 We present a streamlined, slightly modified version, in the two-variable situation, of a beautiful, but not so well known, theory by Bögel, already from the 1930s, on an alternative higher dimensional calculus of real functions, a double calculus, which ...
Patrik Lundström
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Optimal mean value estimates beyond Vinogradov's mean value theorem [PDF]
, 2019 We establish improved mean value estimates associated with the number of integer solutions of certain systems of diagonal equations, in some instances attaining the sharpest conjectured conclusions.
Brandes, Julia, Wooley, Trevor D.
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