Pseudosolution Of Linear Functional Equations

Author : Alexander S. Mechenov
Publisher : Springer Science & Business Media
ISBN 13 : 9780387245058
Total Pages : 268 pages
Book Rating : 4.57/5 ( download)

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Download or read book Pseudosolution of Linear Functional Equations written by Alexander S. Mechenov and published by Springer Science & Business Media. This book was released on 2005-03-21 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the book there are introduced models and methods of construction of pseudo-solutions for the well-posed and ill-posed linear functional equations circumscribing models passive, active and complicated experiments. Two types of the functional equations are considered: systems of the linear algebraic equations and linear integral equations. Methods of construction of pseudos6lutions are developed in the presence of passive right-hand side errors for two types of operator errors: passive measurements and active representation errors of the operator, and all their combinations. For the determined and stochastic models of passive experiments the method of the least distances of construction of pseudosolutions is created, the maximum likelihood method of construction of pseudosolutions is applied for active experiments, and then methods for combinations of models of regression, of passive and of active experiments are created. We have constructed regularized variants of these methods for systems of the linear algebraic equations with the degenerated matrices and for linear integral equations of the first kind. In pure mathematics, the solution techniques of the functional equations with exact input data more often are studied. In applied mathematics, problem consists in construction of pseudosolutions, that is, solution of the hctional equations with perturbed input data. Such problem in many cases is incomparably more complicated. The book is devoted to a problem of construction of a pseudosolution (the problem of a parameter estimation) in the following fundamental sections of applied mathematics: confluent models passive, active and the every possible mixed experiments.

Author : Sui Sun Cheng
Publisher : World Scientific
ISBN 13 : 9814471720
Total Pages : 296 pages
Book Rating : 4.25/5 ( download)

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Download or read book Analytic Solutions Of Functional Equations written by Sui Sun Cheng and published by World Scientific. This book was released on 2008-03-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a self-contained and unified introduction to the properties of analytic functions. Based on recent research results, it provides many examples of functional equations to show how analytic solutions can be found.Unlike in other books, analytic functions are treated here as those generated by sequences with positive radii of convergence. By developing operational means for handling sequences, functional equations can then be transformed into recurrence relations or difference equations in a straightforward manner. Their solutions can also be found either by qualitative means or by computation. The subsequent formal power series function can then be asserted as a true solution once convergence is established by various convergence tests and majorization techniques. Functional equations in this book may also be functional differential equations or iterative equations, which are different from the differential equations studied in standard textbooks since composition of known or unknown functions are involved.

Author : Anatolii Antonevich
Publisher :
ISBN 13 : 9780817629311
Total Pages : 179 pages
Book Rating : 4.19/5 ( download)

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Download or read book Linear Functional Equations written by Anatolii Antonevich and published by . This book was released on 1995 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Marek Kuczma
Publisher : Springer Science & Business Media
ISBN 13 : 3764387491
Total Pages : 595 pages
Book Rating : 4.95/5 ( download)

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Download or read book An Introduction to the Theory of Functional Equations and Inequalities written by Marek Kuczma and published by Springer Science & Business Media. This book was released on 2009-03-12 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marek Kuczma was born in 1935 in Katowice, Poland, and died there in 1991. After finishing high school in his home town, he studied at the Jagiellonian University in Kraków. He defended his doctoral dissertation under the supervision of Stanislaw Golab. In the year of his habilitation, in 1963, he obtained a position at the Katowice branch of the Jagiellonian University (now University of Silesia, Katowice), and worked there till his death. Besides his several administrative positions and his outstanding teaching activity, he accomplished excellent and rich scientific work publishing three monographs and 180 scientific papers. He is considered to be the founder of the celebrated Polish school of functional equations and inequalities. "The second half of the title of this book describes its contents adequately. Probably even the most devoted specialist would not have thought that about 300 pages can be written just about the Cauchy equation (and on some closely related equations and inequalities). And the book is by no means chatty, and does not even claim completeness. Part I lists the required preliminary knowledge in set and measure theory, topology and algebra. Part II gives details on solutions of the Cauchy equation and of the Jensen inequality [...], in particular on continuous convex functions, Hamel bases, on inequalities following from the Jensen inequality [...]. Part III deals with related equations and inequalities (in particular, Pexider, Hosszú, and conditional equations, derivations, convex functions of higher order, subadditive functions and stability theorems). It concludes with an excursion into the field of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews) "This book is a real holiday for all the mathematicians independently of their strict speciality. One can imagine what deliciousness represents this book for functional equationists." (B. Crstici, Zentralblatt für Mathematik)

Author : Jane Mills
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.85/5 ( download)

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Download or read book Systems of Linear Functional Equations written by Jane Mills and published by . This book was released on 1982 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : B. V. Senthil Kumar
Publisher : Springer Nature
ISBN 13 : 3030453553
Total Pages : 124 pages
Book Rating : 4.58/5 ( download)

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Download or read book Multiplicative Inverse Functional Equations written by B. V. Senthil Kumar and published by Springer Nature. This book was released on 2020-04-06 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to numerous multiplicative inverse functional equations and their stability results in various spaces. This type of functional equation can be of use in solving many physical problems and also has significant relevance in various scientific fields of research and study. In particular, multiplicative inverse functional equations have applications in electric circuit theory, physics, and relations connecting the harmonic mean and arithmetic mean of several values. Providing a wealth of essential insights and new concepts in the field of functional equations, the book is chiefly intended for researchers, graduate schools, graduate students, and educators, and can also used for seminars in analysis covering topics of functional equations.

Author : Kwok-Fu Aalon Tsui
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.79/5 ( download)

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Download or read book Some Methods of Approximate Solutions of Non-linear Functional Equations written by Kwok-Fu Aalon Tsui and published by . This book was released on 1975 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Joachim Domsta
Publisher :
ISBN 13 : 9788373260627
Total Pages : 161 pages
Book Rating : 4.25/5 ( download)

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Download or read book Regularly Varying Solutions of Linear Functional Equations in a Single Variable written by Joachim Domsta and published by . This book was released on 2002 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Thomas Edward Mason
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.32/5 ( download)

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Download or read book The Character of the Solutions of Certain Functional Equations written by Thomas Edward Mason and published by . This book was released on 1913 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : J. K. Chung
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.72/5 ( download)

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Download or read book A Generalization of a Linear Functional Equation, II written by J. K. Chung and published by . This book was released on 1980 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: