Results 11 to 20 of about 1,900,675 (267)

The Mean Value Theorem in the Context of Generalized Approach to Differentiability

open access: yesMathematics, 2023
The article is a natural continuation of the systematic research of the properties of the generalized concept of differentiability for functions with a domain X⊂Rn that is not necessarily open, at points that allow a neighbourhood ray in the domain.
Nikola Koceić-Bilan   +1 more
doaj   +2 more sources

Numerical Solutions of the Mean‐Value Theorem: New Methods for Downward Continuation of Potential Fields

open access: yesGeophysical Research Letters, 2018
Downward continuation can enhance small‐scale sources and improve resolution. Nevertheless, the common methods have disadvantages in obtaining optimal results because of divergence and instability.
Chong Zhang   +3 more
doaj   +2 more sources

Some new integral inequalities via variant of Pompeii's mean value theorem [PDF]

open access: yesMathematica Moravica, 2015
The main of this paper is to establish an inequality providing some better bounds for integral mean by using a mean value theorem. Our results generalize the results of Ahmad et. al in [8].
Sarikaya Zeki Mehmet
doaj   +2 more sources

A Quantile-Based Probabilistic Mean Value Theorem [PDF]

open access: yesProbability in the engineering and informational sciences (Print), 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   +4 more sources

Numerical solution of linear and nonlinear Fredholm integral equations by using weighted mean-value theorem. [PDF]

open access: yesSpringerplus, 2016
Mean value theorems for both derivatives and integrals are very useful tools in mathematics. They can be used to obtain very important inequalities and to prove basic theorems of mathematical analysis.
Altürk A.
europepmc   +2 more sources

Almansi Theorem and Mean Value Formula for Quaternionic Slice-regular Functions [PDF]

open access: hybridAdvances in Applied Clifford Algebras, 2020
We prove an Almansi Theorem for quaternionic polynomials and extend it to quaternionic slice-regular functions. We associate to every such function f, a pair h1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \
Alessandro Perotti
openalex   +2 more sources

A Mean Value Theorem for Tangentially Convex Functions

open access: yesSet-Valued and Variational Analysis, 2023
The main result is an equality type mean value theorem for tangentially convex functions in terms of tangential subdifferentials, which generalizes the classical one for differentiable functions, as well as Wegge theorem for convex functions.
J. Martínez-Legaz
semanticscholar   +1 more source

Diameter‐free estimates for the quadratic Vinogradov mean value theorem [PDF]

open access: yesProceedings of the London Mathematical Society, 2020
Let s⩾3$s \geqslant 3$ be a natural number, let ψ(x)$\psi (x)$ be a polynomial with real coefficients and degree d⩾2$d \geqslant 2$ , and let A$A$ be some large, non‐empty, finite subset of real numbers. We use Es,2(A)$E_{s,2}(A)$ to denote the number of
Akshat Mudgal
semanticscholar   +1 more source

Nested efficient congruencing and relatives of Vinogradov's mean value theorem [PDF]

open access: yesProceedings of the London Mathematical Society, 2017
We apply a nested variant of multigrade efficient congruencing to estimate mean values related to that of Vinogradov. We show that when φj∈Z[t] (1⩽j⩽k) is a system of polynomials with non‐vanishing Wronskian, and s⩽k(k+1)/2 , then for all complex ...
T. Wooley
semanticscholar   +1 more source

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