1) La descarga del recurso depende de la página de origen
2) Para poder descargar el recurso, es necesario ser usuario registrado en Universia


Opción 1: Descargar recurso

Detalles del recurso

Descripción

If a sum of the form \[\sum_{i=1}^n f(\xi_i)(x_i-x_{i-1})\] is used without the familiar requirement that the sequence of points \(a=x_0, x_1, \dots, x_n=b\) is increasing, do we still get a useful approximation to the integral? With a suitable set of hypotheses the answer is yes. We give applications to change of variable formulas and the problem of characterizing derivatives.

Pertenece a

Project Euclid (Hosted at Cornell University Library)  

Autor(es)

Thomson, Brian S. - 

Id.: 55231022

Idioma: inglés  - 

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Palabras claveRiemann sums - 

Tipo de recurso: Text  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

: Copyright 2011 Michigan State University Press

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] 0147-1937
[References] 1930-1219

Fecha de contribución: 08-may-2012

Contacto:

Localización:
* Real Anal. Exchange 37, no. 1 (2011), 221-242

Otros recursos del mismo autor(es)

  1. On VBG Functions and the Denjoy-Khintchine Integral The study of functions of generalized bounded variation (VBG) and generalized absolute continuity (A...
  2. Strong Derivatives and Integrals The strong derivative is not, without some caution, a useful tool in the study of McShaneʼs (i.e., L...
  3. \(\sigma\)-Finite Borel Measures on the Real Line
  4. The Space of Denjoy-Perron Integrable Functions In the linear space$\mathcal{DP}[a,b]$ of all Denjoy-Perron integrable functions on an interval $[a,...
  5. Haar Null Sets in the Space of Automorphisms on [0,1] In this paper we study the distinctness of the concepts of left transverse, right transverse and tra...

Otros recursos de la mismacolección

  1. On Filter Convergence of Series A series $\sum x_k$ is $\mathcal{F}$-convergent to $s$ if the sequence $(\sum_{k=1}^n x_k)$ of its p...
  2. Weakly Symmetric Functions and Weakly Symmetrically Continuous Functions We prove that there exists a nowhere weakly symmetric function $f: \mathbb{R} \rightarrow \mathbb{R}...
  3. A Simple Example Concerning the Upper Box-Counting Dimension of a Cartesian Product We give a simple example of two countable sets $X$ and $Y$ of real numbers such that their upper box...
  4. Special Maximal Operator and $A_p^+$ Weights We introduce a special maximal operator associated to a special variant of Muckenhoupt’s weights. By...
  5. Packing and Hausdorff Measures of Cantor Sets Associated with Series We study a generalization of Morán’s sum sets, obtaining information about the $h$-Hausdorff and $h$...

Aviso de cookies: Usamos cookies propias y de terceros para mejorar nuestros servicios, para análisis estadístico y para mostrarle publicidad. Si continua navegando consideramos que acepta su uso en los términos establecidos en la Política de cookies.