In real analysis and measure theory, the Vitali convergence theorem, named after the Italian mathematician Giuseppe Vitali, is a generalization of the better-known dominated convergence theorem of Henri Lebesgue. It is a characterization of the convergence in Lp in terms of convergence in measure and a condition related to uniform integrability. (Wikipedia).
Newton's Method Interval of Convergence
How to find the Interval of Convergence for Newton-type methods such as Newton's Method, Secant Method, and Finite Difference Method including discussion on Damped Newton's Method and widening the convergence interval. Example code in R hosted on Github: https://github.com/osveliz/numerica
From playlist Root Finding
Find the Interval of Convergence
How to find the interval of convergence for a power series using the root test.
From playlist Convergence (Calculus)
Math 131 111416 Sequences of Functions: Pointwise and Uniform Convergence
Definition of pointwise convergence. Examples, nonexamples. Pointwise convergence does not preserve continuity, differentiability, or integrability, or commute with differentiation or integration. Uniform convergence. Cauchy criterion for uniform convergence. Weierstrass M-test to imp
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Calculus: How Convergence Explains The Limit
The limit definition uses the idea of convergence twice (in two slightly different ways). Once the of convergence is grasped, the limit concept becomes easy, even trivial. This clip explains convergence and shows how it can be used to under the limit.
From playlist Summer of Math Exposition Youtube Videos
Interval of Convergence (silent)
Finding the interval of convergence for power series
From playlist 242 spring 2012 exam 3
Bryna Kra : Multiple ergodic theorems: old and new - lecture 2
Abstract : The classic mean ergodic theorem has been extended in numerous ways: multiple averages, polynomial iterates, weighted averages, along with combinations of these extensions. I will give an overview of these advances and the different techniques that have been used, focusing on co
From playlist Dynamical Systems and Ordinary Differential Equations
Free ebook http://tinyurl.com/EngMathYT Example on power series and how to find the interval of convergence via the ratio test.
From playlist A second course in university calculus.
Yin-Ting Liao (Brown U) -- Sharp large deviations and applications to asymptotic convex geometry
Random projections of high-dimensional probability measures have gained much attention recently in asymptotic convex geometry, high dimensional statistics and data science. Accurate estimation of tail probabilities is of importance in applications. Fluctuations of such objects are better
From playlist Northeastern Probability Seminar 2021
T. Toro - Geometry of measures and applications (Part 3)
In the 1920's Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite "length". The basic question he addressed was whether the infinitesimal properties of the "length" of a set E in the plane yield geometric information on E itself. This simple question
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
Polynomial Progressions in Topological Fields and Their Applications to Pointwise... - Mariusz Mirek
Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory Topic: Polynomial Progressions in Topological Fields and Their Applications to Pointwise Convergence Problems Speaker: Mariusz Mirek Affiliation: Member, School of Mathematics Date: March 02, 2023 We will discuss mu
From playlist Mathematics
The Difference Between Pointwise Convergence and Uniform Convergence
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Difference Between Pointwise Convergence and Uniform Convergence
From playlist Advanced Calculus
Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 8
Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl
From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi
Using the Monotone Convergence Theorem! | Real Analysis
Let's see an awesome example of the monotone convergence theorem in action! We'll look at a sequence that seems to converge, as its terms change by smaller and smaller amounts, but it isn't clear what it converges to. Since we don't have a clue how we might express its limit, we cannot use
From playlist Real Analysis
Ex 1: Interval of Convergence for Power Series (Centered at 0)
This video provides an example of how to determine the integral of convergence for a power series centered at zero. Site: http://mathispower4u.com
From playlist Power Series
Asymptotic Total Ergodicity and Polynomial Patterns in Finite Fields - Vitaly Bergelson
Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory Topic: Asymptotic Total Ergodicity and Polynomial Patterns in Finite Fields Speaker: Vitaly Bergelson Affiliation: Member, School of Mathematics Date: March 03, 2023 A version of the polynomial Szemer´edi theorem wa
From playlist Mathematics
Vitaly Bergelson : Potpourri of open problems and conjectures in linear dynamics and ergodic theory
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Dynamical Systems and Ordinary Differential Equations
Bryna Kra : Multiple ergodic theorems: old and new - lecture 3
Abstract : The classic mean ergodic theorem has been extended in numerous ways: multiple averages, polynomial iterates, weighted averages, along with combinations of these extensions. I will give an overview of these advances and the different techniques that have been used, focusing on co
From playlist Dynamical Systems and Ordinary Differential Equations
Ex 2: Interval of Convergence for Power Series (Centered at 0)
This video provides an example of how to determine the integral of convergence for a power series centered at zero. Site: http://mathispower4u.com
From playlist Power Series