Results 11 to 20 of about 64,486 (162)

Mean Value Theorems on Manifolds [PDF]

open access: yesAsian 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 ...
openaire   +3 more sources

Flett's mean value theorem in topological vector spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We prove some generalizations of Flett's mean value theorem for a class of Gateaux differentiable functions f:X→Y, where X and Y are topological vector spaces.
Robert C. Powers   +2 more
doaj   +1 more source

Error term of the mean value theorem for binary Egyptian fractions

open access: yesOpen 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
doaj   +1 more source

The Mean Value Theorem for Integrals Method for Estimating Two-Dimensional Renewal Functions

open access: yesJTAM (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
doaj   +1 more source

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 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

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