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. Strong Derivatives and Integrals The strong derivative is not, without some caution, a useful tool in the study of McShaneʼs (i.e., L...

Otros recursos de la mismacolección

  1. A Note on Monotonicity Theorems for Approximately Continuous Functions A simple proof of a well-known monotonicity theorem for the approximate derivative is presented. The...
  2. Measure, Category and Convergent Series The analogy between measure and Baire category is displayed first by a theorem of Steinhaus and its ...
  3. On Some Gamidov Integral Inequalities on Time Scales and Applications In the present paper, we extend Gamidov’s integral inequalities to time scales. The obtained results...
  4. A Positive Function with Vanishing Lebesgue Integral in Zermelo-Fraenkel Set Theory Can a positive function on \(\mathbb{R}\) have zero Lebesgue integral? It depends on how much choice...
  5. On the Carathéodory Approach to the Construction of a Measure The Carathéodory theorem on the construction of a measure is generalized by replacing the outer meas...

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.