Advanced Inequalities

By: George A Anastassiou

Write A Review

Hardcover | 27 October 2010

At a Glance

Hardcover
424 Pages

Dimensions(cm)
25.4 x 16.8 x 2.8

Hardcover

RRP $275.99

$248.75

10%OFF

or 4 interest-free payments of $62.19 with

or

Ships in 15 to 25 business days

This monograph presents univariate and multivariate classical analyses of advanced inequalities. This treatise is a culmination of the author's last thirteen years of research work. The chapters are self-contained and several advanced courses can be taught out of this book. Extensive background and motivations are given in each chapter with a comprehensive list of references given at the end.The topics covered are wide-ranging and diverse. Recent advances on Ostrowski type inequalities, Opial type inequalities, Poincare and Sobolev type inequalities, and Hardy-Opial type inequalities are examined. Works on ordinary and distributional Taylor formulae with estimates for their remainders and applications as well as Chebyshev-Gruss, Gruss and Comparison of Means inequalities are studied.The results presented are mostly optimal, that is the inequalities are sharp and attained. Applications in many areas of pure and applied mathematics, such as mathematical analysis, probability, ordinary and partial differential equations, numerical analysis, information theory, etc., are explored in detail, as such this monograph is suitable for researchers and graduate students. It will be a useful teaching material at seminars as well as an invaluable reference source in all science libraries.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $0.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Calculus & Mathematical Analysis

Methusalem Seminars at Ghent Analysis and PDE Center : Extended Abstracts 2023/2024 - David Santiago Gomez Cobos

$148.75

20%
OFF

Differential Equations : An Elementary Approach - Rosalind Lake

$35.75

21%
OFF

Calculus

3rd Edition

Hardcover

RRP $97.95

$84.75

13%
OFF

Cartoon Guide to Calculus

Cartoon Guide Series

Paperback

RRP $31.89

$29.75

Calculus For Dummies

For Dummies

Paperback

RRP $37.95

$30.75

19%
OFF

Essential Calculus

2nd Edition

Hardcover

RRP $219.95

$173.75

21%
OFF

Calculus Essentials For Dummies

For Dummies

Paperback

RRP $21.95

$19.75

10%
OFF

Calculus All-in-One For Dummies (+ Chapter Quizzes Online)

For Dummies

Paperback

RRP $65.95

$49.75

25%
OFF

Thomas' Calculus

15th Edition - Early Transcendentals, SI Units

Paperback

RRP $167.95

$151.75

10%
OFF

Mathematical Methods for Physics and Engineering

A Comprehensive Guide

Paperback

RRP $99.95

$79.99

20%
OFF

Intermediate Financial Theory

3rd Edition

Hardcover

RRP $195.75

$190.99

Learning Data Science

Data Wrangling, Exploration, Visualization, and Modeling with Python

Paperback

RRP $171.00

$136.80

20%
OFF

Introduction to Finite Element Analysis Using MATLAB® and Abaqus

Hardcover

RRP $395.00

$190.99

52%
OFF

Learning Algorithms

A Programmer's Guide to Writing Better Code

Paperback

RRP $152.00

$121.60

20%
OFF

Mastering Shiny

Build Interactive Apps, Reports, and Dashboards Powered by R

Paperback

RRP $152.00

$121.60

20%
OFF

Data Science on AWS

Implementing End-To-End, Continuous AI and Machine Learning Pipelines

Paperback

RRP $152.00

$121.60

20%
OFF

An Introduction To Derivative Securities, Financial Markets, And Risk Management

2nd edition

Paperback

RRP $158.99

$68.75

57%
OFF

Progress in Industrial Mathematics at ECMI 2023 : 22nd ECMI Conference, Wroclaw, Poland, June 26-30, Selected and Reviewed Papers - Janusz Szwabinski

$21.75

13%
OFF

Preface	p. vii
Introduction	p. 1
Advanced Univariate Ostrowski Type Inequalities	p. 5
Introduction	p. 5
Auxilliary Results	p. 6
Main Results	p. 14
Higher Order Ostrowski Inequalities	p. 21
Introduction	p. 21
Main Results	p. 22
Multidimensional Euler Identity and Optimal Multidimensional Ostrowski Inequalities	p. 27
Introduction	p. 27
Background	p. 30
Main Results	p. 31
Applications	p. 53
Sharpness	p. 76
More on Multidimensional Ostrowski Type Inequalities	p. 81
Introduction	p. 81
Auxilliary Results	p. 82
Main Results	p. 87
Ostrowski Inequalities on Euclidean Domains	p. 93
Introduction	p. 93
Main Results	p. 93
High Order Ostrowski Inequalities on Euclidean Domains	p. 99
Introduction	p. 99
Main Results	p. 99
Functions on General Domains	p. 106
Ostrowski Inequalities on Spherical Shells	p. 109
Introduction	p. 109
Main Results	p. 109
Addendum	p. 123
Ostrowski Inequalities on Balls and Shells Via Taylor-Widder Formula	p. 125
Introduction	p. 125
Background	p. 126
Results on the Shell	p. 128
Results on the Sphere	p. 132
Addendum	p. 138
Multivariate Opial Type Inequalities for Functions Vanishing at an Interior Point	p. 139
Introduction	p. 139
Main Results	p. 140
General Multivariate Weighted Opial Inequalities	p. 149
Introduction	p. 149
Main Results	p. 151
Opial Inequalities for Widder Derivatives	p. 161
Introduction	p. 161
Background	p. 161
Results	p. 162
Opial Inequalities for Linear Differential Operators	p. 171
Background	p. 171
Results	p. 171
Opial Inequalities for Vector Valued Functions	p. 179
Introduction	p. 179
Background	p. 179
Results	p. 180
Applications	p. 186
Opial Inequalities for Semigroups	p. 187
Introduction	p. 187
Background	p. 187
Results	p. 189
Opial Inequalities for Cosine and Sine Operator Functions	p. 197
Introduction	p. 197
Background	p. 197
Results	p. 199
Applications	p. 206
Poincaré Like Inequalities for Linear Differential Operators	p. 209
Background	p. 209
Results	p. 210
Poincaré and Sobolev Like Inequalities for Widder Derivatives	p. 215
Background	p. 215
Results	p. 217
Poincaré and Sobolev Like Inequalities for Vector Valued Functions	p. 229
Introduction	p. 229
Background	p. 230
Results	p. 231
Applications	p. 240
Poincaré Type Inequalities for Semigroups, Cosine and Sine Operator Functions	p. 243
Introduction	p. 243
Semigroups Background	p. 243
Poincaré Type Inequalities for Semigroups	p. 245
Cosine and Sine Operator Functions Background	p. 249
Poincaré Type Inequalities for Cosine and Sine Operator Functions	p. 250
Hardy-Opial Type Inequalities	p. 261
Results	p. 261
A Basic Sharp Integral Inequality	p. 271
Introduction	p. 271
Results	p. 271
Estimates of the Remainder in Taylor's Formula	p. 275
Introduction	p. 275
Some New Bounds for the Remainder	p. 276
Some Further Bounds of the Remainder	p. 280
Some Inequalities for Special Cases	p. 282
Taylor-Multivariate Case Estimates	p. 284
The Distributional Taylor Formula	p. 293
Introduction and Background	p. 293
Main Results	p. 296
Applications	p. 302
Chebyshev-Grüss Type Inequalities Using Euler Type and Fink Identities	p. 305
Background	p. 305
Main Results	p. 307
Grüss Type Multivariate Integral Inequalities	p. 319
Introduction	p. 319
Auxiliary Result	p. 320
Main Results	p. 321
Chebyshev-Grüss Type Inequalities on Spherical Shells and Balls	p. 331
Introduction	p. 331
Main Results	p. 332
Multivariate Chebyshev-Grüss and Comparison of Integral Means Inequalities	p. 341
Background	p. 341
Main Results	p. 344
Multivariate Fink Type Identity Applied to Multivariate Inequalities	p. 365
Introduction	p. 365
Main Results	p. 366
Applications	p. 381
Bibliography	p. 395
List of Symbols	p. 407
Index	p. 409
Table of Contents provided by Ingram. All Rights Reserved.

Advanced Inequalities

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Calculus & Mathematical Analysis

Methusalem Seminars at Ghent Analysis and PDE Center

Extended Abstracts 2023/2024

Calculus, Metric Edition

9th edition

Differential Equations

An Elementary Approach

Advances in Numerical Methods and Analysis

Introductory Numerical Analysis

The Maths Book

Big Ideas Simply Explained

Calculus

3rd Edition

Cartoon Guide to Calculus

Cartoon Guide Series

Calculus For Dummies

For Dummies

Essential Calculus

2nd Edition

Calculus Essentials For Dummies

For Dummies

Calculus All-in-One For Dummies (+ Chapter Quizzes Online)

For Dummies

Thomas' Calculus

15th Edition - Early Transcendentals, SI Units

Mathematical Methods for Physics and Engineering

A Comprehensive Guide

Intermediate Financial Theory

3rd Edition

Learning Data Science

Data Wrangling, Exploration, Visualization, and Modeling with Python

Introduction to Finite Element Analysis Using MATLAB® and Abaqus

Learning Algorithms

A Programmer's Guide to Writing Better Code

Mastering Shiny

Build Interactive Apps, Reports, and Dashboards Powered by R

Data Science on AWS

Implementing End-To-End, Continuous AI and Machine Learning Pipelines

An Introduction To Derivative Securities, Financial Markets, And Risk Management

2nd edition

Progress in Industrial Mathematics at ECMI 2023

22nd ECMI Conference, Wroclaw, Poland, June 26-30, Selected and Reviewed Papers

Backward Stochastic Volterra Integral Equations

Probability Theory and Stochastic Modelling

Infinite Powers

The Story of Calculus - The Language of the Universe

This product is categorised by