Описание: This book focuses on one- and multi-dimensional linear integral and discrete Gronwall-Bellman type inequalities. With this work the author fills a gap in the literature on inequalities, offering an ideal source for researchers in these topics. The present volume is part 1 of the author`s two-volume work on inequalities.
Автор: Wheeden Название: Measure and Integral ISBN: 1498702899 ISBN-13(EAN): 9781498702898 Издательство: Taylor&Francis Рейтинг: Цена: 17609.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Now considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then presenting a more general treatment based on abstract notions characterized by axioms and with less geometric content.
Published nearly forty years after the first edition, this long-awaited Second Edition also:
Studies the Fourier transform of functions in the spaces L1, L2, and Lp, 1 p
Shows the Hilbert transform to be a bounded operator on L2, as an application of the L2 theory of the Fourier transform in the one-dimensional case
Covers fractional integration and some topics related to mean oscillation properties of functions, such as the classes of Hцlder continuous functions and the space of functions of bounded mean oscillation
Derives a subrepresentation formula, which in higher dimensions plays a role roughly similar to the one played by the fundamental theorem of calculus in one dimension
Extends the subrepresentation formula derived for smooth functions to functions with a weak gradient
Applies the norm estimates derived for fractional integral operators to obtain local and global first-order Poincarй-Sobolev inequalities, including endpoint cases
Proves the existence of a tangent plane to the graph of a Lipschitz function of several variables
Includes many new exercises not present in the first edition
This widely used and highly respected text for upper-division undergraduate and first-year graduate students of mathematics, statistics, probability, or engineering is revised for a new generation of students and instructors. The book also serves as a handy reference for professional mathematicians.
Автор: Godement, Roger Название: Analysis iii ISBN: 3319160524 ISBN-13(EAN): 9783319160528 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: VIII Cauchy Theory.- IX Multivariate Differential and Integral Calculus.- X The Riemann Surface of an Algebraic Function.
Автор: Roussos, Ioannis Название: Improper Riemann Integrals ISBN: 1466588071 ISBN-13(EAN): 9781466588073 Издательство: Taylor&Francis Рейтинг: Цена: 27562.00 р. Наличие на складе: Нет в наличии.
Автор: Godement, Roger Название: Analyse mathгївївѕmatique ii ISBN: 3540006559 ISBN-13(EAN): 9783540006558 Издательство: Springer Рейтинг: Цена: 6360.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Les deux premiers volumes sont consacr s aux fonctions dans R ou C, y compris la th orie l mentaire des s ries et int grales de Fourier et une partie de celle des fonctions holomorphes. L'expos non strictement lin aire, combine indications historiques et raisonnements rigoureux. Il montre la diversit des voies d'acc s aux principaux r sultats afin de familiariser le lecteur avec les m thodes de raisonnement et id es fondamentales plut t qu'avec les techniques de calcul, point de vue utile aussi aux personnes travaillant seules. Les volumes 3 et 4 traitent principalement des fonctions analytiques (th orie de Cauchy, th orie analytique des nombres et fonctions modulaires), ainsi que du calcul diff rentiel sur les vari t s, avec un expos de l'int grale de Lebesgue, en suivant d'assez pr s le c l bre cours donn longtemps par l'auteur l'Universit Paris 7. On reconna tra dans ce nouvel ouvrage le style inimitable de l'auteur, et pas seulement par son refus de l' criture condens e en usage dans ce nombreux manuels.
Автор: Georg Polya; Dorothee Aeppli; Gabor Szeg? Название: Problems and Theorems in Analysis ISBN: 0387902244 ISBN-13(EAN): 9780387902241 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The present English edition is not a mere translation of the German original. To include all such developments would have changed the character of the work, and even an incomplete account, which would be unsatisfactory in itself, would have cost too much labor and taken up too much space.
Описание: Pseudodifferential Operators Over the Real Field.- Wavelets Over the Real Field.- p-adic Mathematical Analysis.- Pseudodifferential Operators Over p-adic Fields.- Wavelets on p-adic Fields.
Описание: This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications. Theories, methods, and techniques of real analysis and functional analysis are applied to equivalent formulations of Hilbert-type inequalities, Hardy-type integral inequalities as well as their parameterized reverses. Special cases of these integral inequalities across an entire plane are considered and explained. Operator expressions with the norm and some particular analytic inequalities are detailed through several lemmas and theorems to provide an extensive account of inequalities and operators.
Автор: Andrica Dorin, Rassias Themistocles M. Название: Differential and Integral Inequalities ISBN: 3030274098 ISBN-13(EAN): 9783030274092 Издательство: Springer Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book.
Автор: Irshad Nazia, Khan Asif R., Mehmood Faraz Название: New Perspectives on the Theory of Inequalities for Integral and Sum ISBN: 3030905624 ISBN-13(EAN): 9783030905620 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides new contributions to the theory of inequalities for integral and sum, and includes four chapters. In the first chapter, linear inequalities via interpolation polynomials and green functions are discussed. New results related to Popoviciu type linear inequalities via extension of the Montgomery identity, the Taylor formula, Abel-Gontscharoff's interpolation polynomials, Hermite interpolation polynomials and the Fink identity with Green’s functions, are presented. The second chapter is dedicated to Ostrowski’s inequality and results with applications to numerical integration and probability theory. The third chapter deals with results involving functions with nondecreasing increments. Real life applications are discussed, as well as and connection of functions with nondecreasing increments together with many important concepts including arithmetic integral mean, wright convex functions, convex functions, nabla-convex functions, Jensen m-convex functions, m-convex functions, m-nabla-convex functions, k-monotonic functions, absolutely monotonic functions, completely monotonic functions, Laplace transform and exponentially convex functions, by using the finite difference operator of order m. The fourth chapter is mainly based on Popoviciu and Cebysev-Popoviciu type identities and inequalities. In this last chapter, the authors present results by using delta and nabla operators of higher order.
Автор: Fonda Название: The Kurzweil-Henstock Integral for Undergraduates ISBN: 3319953206 ISBN-13(EAN): 9783319953205 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This beginners` course provides students with a general and sufficiently easy to grasp theory of the Kurzweil-Henstock integral. The integral is indeed more general than Lebesgue`s in RN, but its construction is rather simple, since it makes use of Riemann sums which, being geometrically viewable, are more easy to be understood.
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