Results 11 to 20 of about 1,900,675 (267)
The Mean Value Theorem in the Context of Generalized Approach to Differentiability
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
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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
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Some new integral inequalities via variant of Pompeii's mean value theorem [PDF]
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
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A Quantile-Based Probabilistic Mean Value Theorem [PDF]
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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Numerical solution of linear and nonlinear Fredholm integral equations by using weighted mean-value theorem. [PDF]
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.
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The Bolzano mean-value theorem and partial differential equations [PDF]
Wojciech Kryszewski, Jakub Siemianowski
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Almansi Theorem and Mean Value Formula for Quaternionic Slice-regular Functions [PDF]
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
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A Mean Value Theorem for Tangentially Convex Functions
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
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Diameter‐free estimates for the quadratic Vinogradov mean value theorem [PDF]
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
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Nested efficient congruencing and relatives of Vinogradov's mean value theorem [PDF]
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
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