Real analysis | Inequalities | Symmetric functions
In mathematics, Maclaurin's inequality, named after Colin Maclaurin, is a refinement of the inequality of arithmetic and geometric means. Let a1, a2, ..., an be positive real numbers, and for k = 1, 2, ..., n define the averages Sk as follows: The numerator of this fraction is the elementary symmetric polynomial of degree k in the n variables a1, a2, ..., an, that is, the sum of all products of k of the numbers a1, a2, ..., an with the indices in increasing order. The denominator is the number of terms in the numerator, the binomial coefficient Maclaurin's inequality is the following chain of inequalities: with equality if and only if all the ai are equal. For n = 2, this gives the usual inequality of arithmetic and geometric means of two numbers. Maclaurin's inequality is well illustrated by the case n = 4: Maclaurin's inequality can be proved using Newton's inequalities. (Wikipedia).
Determine the Maclaurin Series and Polynomial for Function in the Form ax^2*e^(bx)
This video explains how to determine a Maclaurin series and Maclaurin polynomial for a a function using a known power series and a product. The results are verified graphically. Site: http://mathispower4u.com
From playlist Power Series
How to Compute a Maclaurin Polynomial
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook What is a Maclaurin polynomial? In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point
From playlist A second course in university calculus.
Calculus 2: Infinite Sequences and Series (81 of 86) The Taylor Series Revisisted
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain further what is the Taylor series, what it does for us, and how is it different from the Maclaurin series. Next video in the series can be seen at: https://youtu.be/iXwy9N6x8AQ
From playlist CALCULUS 2 CH 14 SERIES AND SEQUENCES
Calculus 2: Infinite Sequences and Series (63 of 86) What is the Maclaurin Series?
Visit http://ilectureonline.com for more math and science lectures! In this video I will show how the Maclaurin series is derived form the Taylor series. Next video in the series can be seen at: https://youtu.be/HRCGwOm36-Q
From playlist CALCULUS 2 CH 14 SERIES AND SEQUENCES
Introduction to Taylor and Maclaurin Polynomials
Introduction to Taylor and Maclaurin Polynomials If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Larson Calculus 9.7 Taylor Polynomials and Approximations
Taylor's inequality (KristaKingMath)
► My Sequences & Series course: https://www.kristakingmath.com/sequences-and-series-course Learn how to use Taylor's inequality to show that the sum of a Maclaurin series is representative of the series for all values of x. ● ● ● GET EXTRA HELP ● ● ● If you could use some extra help wit
From playlist Sequences & Series
Math 2B. Calculus. Lecture 27. Taylor Series and Maclaurin Series
UCI Math 2B: Single-Variable Calculus (Fall 2013) Lec 27. Single-Variable Calculus -- Taylor Series and Maclaurin Series -- View the complete course: http://ocw.uci.edu/courses/math_2b_calculus.html Instructor: Natalia L. Komarova Ph.D. License: Creative Commons CC-BY-SA Terms of Use: htt
From playlist Math 2B: Calculus
Determine the Maclaurin Series and Polynomial for Function in the Form a*cos(bx^2)
This video explains how to determine a Maclaurin series and Maclaurin polynomial for a a function using a known power series and a product. The results are verified graphically. Site: http://mathispower4u.com
From playlist Power Series
This video explains how to determine a Taylor and Maclaurin series to represent a function. http://mathispower4u.yolasite.com/
From playlist Power Series
Maclaurin series and applications
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook Basic example on Maclaurin series and some applications. In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's deriv
From playlist A second course in university calculus.
Real Analysis | Pointwise convergence of sequences of functions.
We introduce the notion of a sequence of functions, give the definition of pointwise convergence, and look at three examples. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://www.mi
From playlist Real Analysis
Ex: Find a Degree One and Degree Two Maclaurin Polynomial
This video explains how to determine a Maclaurin polynomial for a basic exponential function. the results are verified graphically. Site: http://mathispower4u.com
From playlist Power Series
Calculus 11.10 Taylor and Maclaurin Series
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Taylor's Inequality - Examples are shown using Taylor's Inequality. In the first part, I show that a series expansion is valid using Taylor's Inequality. In
From playlist Calculus / Second Semester - Integration
Futher Pure 2 FP2 Maclaurin Series 7 Exam Style Questions 1 Past paper Edexcel
www.m4ths.com GCSE and A Level Worksheets, videos and helpbooks. Full course help for Foundation and Higher GCSE 9-1 Maths All content created by Steve Blades
From playlist Futher Pure 2 FP2 Maclaurin and Taylor Series
Calculus BC - Unit 5 Lesson 2: Lagrange Error Bound
Calculus BC - Taylor's Remainder Theorem and the Lagrange Error Bound
From playlist AP Calculus BC
Multivariable Taylor Polynomials
Free ebook http://tinyurl.com/EngMathYT A lecture on how to calculate Taylor polynomials and series for functions of two variables. Such ideas are useful in approximation of functions. We show where the polynomial representation comes from.
From playlist Mathematics for Finance & Actuarial Studies 2
Gronwall's inequality & fractional differential equations
Several general versions of Gronwall's inequality are presented and applied to fractional differential equations of arbitrary order. Applications include: yielding a priori bounds and nonumultiplicity of solutions. This presentation features new mathematical research. http://projecteucli
From playlist Mathematical analysis and applications
The Maclaurin Series for f(x) = e^x
Calculus: We derive the Maclaurin series for e^x and estimate e^{-1} by way of the error estimate for alternating series. For more videos like this one, please visit the Calculus playlists at this channel.
From playlist Calculus Pt 6: Sequences and Series
Futher Pure 2 FP2 Maclaurin Series 4 Differentiation and Standard Results
www.m4ths.com GCSE and A Level Worksheets, videos and helpbooks. Full course help for Foundation and Higher GCSE 9-1 Maths All content created by Steve Blades
From playlist Futher Pure 2 FP2 Maclaurin and Taylor Series