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Advances In Inequalities Of The Schwarz Gruss And Bessel Type In Inner Product Spaces
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Book Synopsis Advances in Inequalities of the Schwarz, Grüss, and Bessel Type in Inner Product Spaces by : Sever Silvestru Dragomir
Download or read book Advances in Inequalities of the Schwarz, Grüss, and Bessel Type in Inner Product Spaces written by Sever Silvestru Dragomir and published by Nova Publishers. This book was released on 2005 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Hilbert spaces plays a central role in contemporary mathematics with numerous applications for Linear Operators, Partial Differential Equations, in Nonlinear Analysis, Approximation Theory, Optimisation Theory, Numerical Analysis, Probability Theory, Statistics and other fields. The Schwarz, triangle, Bessel, Gram and most recently, Grüss type inequalities have been frequently used as powerful tools in obtaining bounds or estimating the errors for various approximation formulae occurring in the domains mentioned above. Therefore, any new advancement related to these fundamental facts will have a flow of important consequences in the mathematical fields where these inequalities have been used before.
Book Synopsis Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces by : Sever Silvestru Dragomir
Download or read book Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces written by Sever Silvestru Dragomir and published by Nova Publishers. This book was released on 2007 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities for hermitian forms -- Schwarz related inequalities -- Reverses for the triangle inequality -- Reverses for the continous triangle inequality -- Reverses of the cbs and heisenberg inequalities -- Other inequalities in inner product spaces
Book Synopsis Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces by : S.S. Dragomir
Download or read book Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces written by S.S. Dragomir and published by . This book was released on 2018 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reverses of Schwarz, triangle and Bessel inequalities in inner product spaces that improve some earlier results are pointed out. They are applied to obtain new Grüss type inequalities in inner product spaces. Some natural applications for integral inequalities are also pointed out.
Book Synopsis New Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces by : S.S. Dragomir
Download or read book New Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces written by S.S. Dragomir and published by . This book was released on 2018 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: New reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces are pointed out. These results complement the recent ones obtained by the author in the earlier paper [13]. Further, they are emploied to establish new Grüss type inequalities. Finally, some natural integral inequalities are stated as well.
Author :Themistocles M. Rassias Publisher :Springer Science & Business Media ISBN 13 :1461400554 Total Pages :744 pages Book Rating :4.4/5 (614 download)
Book Synopsis Functional Equations in Mathematical Analysis by : Themistocles M. Rassias
Download or read book Functional Equations in Mathematical Analysis written by Themistocles M. Rassias and published by Springer Science & Business Media. This book was released on 2011-09-18 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular, the pursuit of solutions to the Hyers-Ulam and Hyers-Ulam-Rassias stability problems for sets of functional equations and ineqalities has led to an outpouring of recent research. This volume, dedicated to S. M. Ulam, presents the most recent results on the solution to Ulam stability problems for various classes of functional equations and inequalities. Comprised of invited contributions from notable researchers and experts, this volume presents several important types of functional equations and inequalities and their applications to problems in mathematical analysis, geometry, physics and applied mathematics. "Functional Equations in Mathematical Analysis" is intended for researchers and students in mathematics, physics, and other computational and applied sciences.
Book Synopsis On Bessel and Grüss Inequalities for Orthornormal Families in Inner Product Spaces by : S.S. Dragomir
Download or read book On Bessel and Grüss Inequalities for Orthornormal Families in Inner Product Spaces written by S.S. Dragomir and published by . This book was released on 2018 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new counterpart of Bessel's inequality for orthornormal families in real or complex inner product spaces is obtained. Applications for some Grüss type results are also provided.
Book Synopsis Discrete Inequalities of the Cauchy-Bunyakovsky-Schwarz Type by : Sever Silvestru Dragomir
Download or read book Discrete Inequalities of the Cauchy-Bunyakovsky-Schwarz Type written by Sever Silvestru Dragomir and published by . This book was released on 2004 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cauchy-Bunyakovsky-Schwarz inequality, or for short, the CBS inequality, plays an important role in different branches of Modern Mathematics including Hilbert Spaces Theory, Probability and Statistics, Classical Real and Complex Analysis, Numerical Analysis, Qualitative Theory of Differential Equations and their applications. The main purpose of this book, that is mainly based on a survey paper written by the author in the Journal of Inequalities in Pure and Applied Mathematics is to identify and highlight the discrete inequalities that are connected with the CBS inequality. Provided are refinements, counterparts and reverse results as well as the study of some functional properties of certain mappings that can be naturally associated with this inequality such as superadditivity, supermultiplicity, the strong versions of these and the corresponding monotonicity properties. Many companions and related results both for real and complex numbers are also presented. It was one of the main aims of the book to provide complete proofs for the results considered.
Book Synopsis A Counterpart of Bessel's Inequality in Inner Product Spaces and Some Grüss Type Related Results by : S.S. Dragomir
Download or read book A Counterpart of Bessel's Inequality in Inner Product Spaces and Some Grüss Type Related Results written by S.S. Dragomir and published by . This book was released on 2018 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: A counterpart of the famous Bessel's inequality for orthornormal families in real or complex inner product spaces is given. Applications for some Grüss type inequalities are also provided.
Book Synopsis On Bessel's and Grüss' Inequalities for Orthornormal Families in 2-Inner Product Spaces and Applications by : S.S. Dragomir
Download or read book On Bessel's and Grüss' Inequalities for Orthornormal Families in 2-Inner Product Spaces and Applications written by S.S. Dragomir and published by . This book was released on 2018 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new counterpart of Bessel's inequality for orthornormal families in real or complex 2-inner product spaces is obtained. Applications for some Grüss type results with applications for determinantal integral inequalities are also provided.
Author :Silvestru Sever Dragomir Publisher :Springer Science & Business Media ISBN 13 :331901448X Total Pages :130 pages Book Rating :4.3/5 (19 download)
Book Synopsis Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces by : Silvestru Sever Dragomir
Download or read book Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces written by Silvestru Sever Dragomir and published by Springer Science & Business Media. This book was released on 2013-09-14 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed toward researchers, postgraduate students, and scientists in linear operator theory and mathematical inequalities, this self-contained monograph focuses on numerical radius inequalities for bounded linear operators on complex Hilbert spaces for the case of one and two operators. Students at the graduate level will learn some essentials that may be useful for reference in courses in functional analysis, operator theory, differential equations, and quantum computation, to name several. Chapter 1 presents fundamental facts about the numerical range and the numerical radius of bounded linear operators in Hilbert spaces. Chapter 2 illustrates recent results obtained concerning numerical radius and norm inequalities for one operator on a complex Hilbert space, as well as some special vector inequalities in inner product spaces due to Buzano, Goldstein, Ryff and Clarke as well as some reverse Schwarz inequalities and Grüss type inequalities obtained by the author. Chapter 3 presents recent results regarding the norms and the numerical radii of two bounded linear operators. The techniques shown in this chapter are elementary but elegant and may be accessible to undergraduate students with a working knowledge of operator theory. A number of vector inequalities in inner product spaces as well as inequalities for means of nonnegative real numbers are also employed in this chapter. All the results presented are completely proved and the original references are mentioned.
Book Synopsis A Reverse of Bessel's Inequality in 2-Inner Product Spaces and Some Grüss Type Related Results with Applications by : S.S. Dragomir
Download or read book A Reverse of Bessel's Inequality in 2-Inner Product Spaces and Some Grüss Type Related Results with Applications written by S.S. Dragomir and published by . This book was released on 2018 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reverse of Bessel's inequality in 2-inner product spaces and companions of Grüss inequality with applications for determinantal integral inequalities are given.
Book Synopsis Some Reverses of the Cauchy-Bunyakovsky-Schwarz Inequality in 2-Inner Product Spaces by : Sever S. Dragomir
Download or read book Some Reverses of the Cauchy-Bunyakovsky-Schwarz Inequality in 2-Inner Product Spaces written by Sever S. Dragomir and published by . This book was released on 2018 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, some reverses of the Cauchy-Bunyakovsky-Schwarz inequality in 2-inner product spaces are given. Using this framework, some applications for determinantal integral inequalities are also provided.
Book Synopsis Some Pečarić's Type Inequalities in 2-Inner Product Spaces and Applications by : Y.J. Cho
Download or read book Some Pečarić's Type Inequalities in 2-Inner Product Spaces and Applications written by Y.J. Cho and published by . This book was released on 2018 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some results related to the Pečarić's type generalisation of Bessel's inequality in 2-inner product spaces are given. Applications for determinantal integral inequalities are also provided.
Book Synopsis The Cauchy-Schwarz Master Class by : J. Michael Steele
Download or read book The Cauchy-Schwarz Master Class written by J. Michael Steele and published by Cambridge University Press. This book was released on 2004-04-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.
Book Synopsis Refinements of Some Reverses of Schwarz's Inequality in 2-Inner Product Spaces and Applications for Integrals by : P. Cerone
Download or read book Refinements of Some Reverses of Schwarz's Inequality in 2-Inner Product Spaces and Applications for Integrals written by P. Cerone and published by . This book was released on 2018 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Refinements of some recent reverse inequalities for the celebrated Cauchy-Bunyakovsky-Schwarz inequality in 2--inner product spaces are given. Using this framework, applications for determinantal integral inequalities are also provided.
Book Synopsis Some New Results Related to Bessel and Grss Inequalities for Orthogonal Families in Inner Product Spaces by : S.S. Dragomir
Download or read book Some New Results Related to Bessel and Grss Inequalities for Orthogonal Families in Inner Product Spaces written by S.S. Dragomir and published by . This book was released on 2018 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some new counterparts of Bessel's inequality for orthornormal families in real or complex inner product spaces are pointed out. Applications for some Grss type inequalities are also empahsized.
Book Synopsis Some Bombieri Type Inequalities in Inner Product Spaces by : S.S. Dragomir
Download or read book Some Bombieri Type Inequalities in Inner Product Spaces written by S.S. Dragomir and published by . This book was released on 2018 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: Companion results to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.
