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A Quantile-Based Probabilistic Mean Value Theorem [PDF]

open access: yes, 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
core   +2 more sources

Equation of Finite Change and Structural Analysis of Mean Value

open access: yesAxioms, 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
doaj   +1 more source

A constructive proof of Simpson's Rule [PDF]

open access: yes, 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
core   +3 more sources

A Popoviciu-type mean value theorem

open access: yesJournal of Numerical Analysis and Approximation Theory, 1997
Not available.
Dumitru Mircea Ivan, I Rașa
doaj   +2 more sources

Univariate and Multivariate Ostrowski-Type Inequalities Using Atangana–Baleanu Caputo Fractional Derivative

open access: yesAxioms, 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
doaj   +1 more source

Hyers-Ulam Stability of Lagrange’s Mean Value Points in Two Variables

open access: yesMathematics, 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
doaj   +1 more source

Constraints on stochastic heat probability prescribed by exchange fluctuation theorems

open access: yesResults 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
doaj   +1 more source

Two New Methods Based on Implicit Expressions and Corresponding Predictor-Correctors for Gravity Anomaly Downward Continuation and Their Comparison

open access: yesRemote 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
doaj   +1 more source

Hyers–Ulam Stability of Two-Dimensional Flett’s Mean Value Points

open access: yesMathematics, 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
doaj   +1 more source

Double calculus [PDF]

open access: yesSurveys 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
doaj  

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