Inequalities

Young's inequality for integral operators

In mathematical analysis, the Young's inequality for integral operators, is a bound on the operator norm of an integral operator in terms of norms of the kernel itself. (Wikipedia).

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Definite Integrals Defined w. Riemann Limit of Sums Example Calculus 1 AB

I introduce the Definite Integral, explain the definition, and work through an example of using the Definite Integral notation and Riemann Sum to find the area bound by a function and the x axis on a closed interval. Find free review test, useful notes and more at http://www.mathplane.com

From playlist Calculus

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Complex Analysis: The Integral Inequality

Today, I present a proof for the "integral inequality" which states that the absolute value of an integral is bounded above by the integral of the absolute value.

From playlist Contour Integration

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Definite Integral Using Limit Definition

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definite Integral Using Limit Definition. In this video we compute a definite integral using the limit definition.

From playlist Calculus

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Ex: Properties of Definite Integrals - Zero Interval

This video provides an example of how to evaluate a definite integral when the upper and lower limit of integration are equal. Site: http://mathispower4u.com

From playlist Applications of Definite Integration

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Ex 2: Improper Integral - Infinite Interval (-inf, constant)

This video provides an example of an improper integral when the limits of integration are from negative infinity to a constant. The antiderivative involves arctangent. Site: http://mathispower4u.com

From playlist Improper Integrals

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Ex: Property of Definite Integral Addition

This video provides two examples of the property of adding definite integrals. Site: http://mathispower4u.com

From playlist Definite Integrals and The Fundamental Theorem of Calculus

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How to Determine if an Integral is an Improper Integral

How to Determine if an Integral is an Improper Integral 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 8.8 Improper Integrals

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Integral x^x from 0 to 1

In this video, I evaluate the integrals of x^x and x^(-x) from 0 to 1. Although there is no explicit formula for this integral, I will still evaluate it as a series, and the answer is very pretty! Enjoy!

From playlist Integrals

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What is the constant rule of integration

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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Michael Walter: "Quantum Brascamp-Lieb Dualities"

Entropy Inequalities, Quantum Information and Quantum Physics 2021 "Quantum Brascamp-Lieb Dualities" Michael Walter - Universiteit van Amsterdam Abstract: Brascamp-Lieb inequalities are entropy inequalities which have a dual formulation as generalized Young inequalities. In this work, we

From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021

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Optimal Transportation and Applications - 12 November 2018

http://crm.sns.it/event/436 It is the ninth edition of this "traditional'' meeting in Pisa, after the ones in 2001, 2003, 2006, 2008, 2010, 2012, 2014 and 2016. Organizing Committee Luigi Ambrosio, Scuola Normale Superiore, Pisa Giuseppe Buttazzo, Dipartimento di Matematica, UniversitĂ 

From playlist Centro di Ricerca Matematica Ennio De Giorgi

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Proof of a 35 Year Old Conjecture for Entropy of Coherent States and Generalization - Elliot Lieb

Elliot Lieb Princeton University November 12, 2012 35 years ago Wehrl defined a classical entropy of a quantum density matrix using Gaussian (Schr\"odinger, Bargmann, ...) coherent states. This entropy, unlike other classical approximations, has the virtue of being positive. He conjectured

From playlist Mathematics

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Thomas Courtade : Information Theoretic Perspective on Brascamp -Lieb- Barthe Inequalities

Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 28, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent

From playlist Geometry

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Nathaël Gozlan : Ehrard’s inequality and hypercontractivity of Ornstein-Ulheinbeck semigroup

Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 28, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent

From playlist Geometry

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Grigorios Paouris - Empirical Isoperimetric Inequalities outside convexity - IPAM at UCLA

Recorded 07 February 2022. Grigorios Paouris of Texas A&M University - College Station presents Empirical Isoperimetric Inequalities outside convexity at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: Several classical isoperimetric inequalities for convex s

From playlist Workshop: Calculus of Variations in Probability and Geometry

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Alice Chang - Sobolov trace inequalities

December 19, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday. In a series of joint papers in 1988-89, Osgood-Phillips-Sarnak identified the extremal metrics of the zeta functional determinant of the Laplacian operator on compact sur

From playlist Analysis, Spectra, and Number Theory - A Conference in Honor of Peter Sarnak on His 61st Birthday

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The adjoint Brascamp-Lieb inequality - Terence Tao

Analysis and Mathematical Physics Topic: The adjoint Brascamp-Lieb inequality Speaker: Terence Tao Affiliation: University of California, Los Angeles Date: March 08, 2023 The Brascamp-Lieb inequality is a fundamental inequality in analysis, generalizing more classical inequalities such a

From playlist Mathematics

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Sun-Yung Alice Chang: Conformal Invariants and Differential Equations

This lecture was held at The University of Oslo, May 24, 2006 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2006 1. “A Scandinavian Chapter in Analysis” by Lennart Carleson, Kungliga Tekniska Högskolan, Swed

From playlist Abel Lectures

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Integrate cosine using u substitution

👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

Related pages

Young's inequality for products | Young's convolution inequality | Operator norm | Integral operator | Mathematical analysis