dragomir sever silvestru (44 Ergebnisse)

23.5 cm x 15.5 cm. X, 349 p. Hardcover. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Trends in Mathematics. Sprache: Englisch.

Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 124 | Sprache: Englisch | Produktart: Bücher.

Taschenbuch. Zustand: Neu. Neuware -The main aim of this book is to present recent results concerning inequalities of the Jensen, ¿eby¿ev and Grüss type for continuous functions of bounded selfadjoint operators on complex Hilbert spaces.In the introductory chapter, the author portrays fundamental facts concerning bounded selfadjoint operators on complex Hilbert spaces. The generalized Schwarz¿s inequality for positive selfadjoint operators as well as some results for the spectrum of this class of operators are presented. This text introduces the reader to the fundamental results for polynomials in a linear operator, continuous functions of selfadjoint operators as well as the step functions of selfadjoint operators. The spectral decomposition for this class of operators, which play a central role in the rest of the book and its consequences are introduced. At the end of the chapter, some classical operator inequalities are presented as well.Recent new results that deal with different aspects of the famous Jensen operator inequality are explored through the second chapter. These include but are not limited to the operator version of the Dragomir-Ionescu inequality, the Slater type inequalities for operators and its inverses, Jensen¿s inequality for twice differentiable functions whose second derivatives satisfy some upper and lower bound conditions and Jensen¿s type inequalities for log-convex functions. Hermite-Hadamard¿s type inequalities for convex functions and the corresponding results for operator convex functions are also presented.The ¿eby¿ev, (Chebyshev) inequality that compares the integral/discrete mean of the product with the product of the integral/discrete means is famous in the literature devoted to Mathematical Inequalities. The sister inequality due to Grüss which provides error bounds for the magnitudeof the difference between the integral mean of the product and the product of the integral means has also attracted much interest since it has been discovered in 1935 with more than 200 papers published so far. The last part of the book is devoted to the operator versions of these famous results for continuous functions of selfadjoint operators on complex Hilbert spaces. Various particular cases of interest and related results are presented as well.This book is intended for use by both researchers in various fields of Linear Operator Theory and Mathematical Inequalities, domains which have grown exponentially in the last decade, as well as by postgraduate students and scientists applying inequalities in their specific areas.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 136 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -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, RyffandClarke 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 chapterare 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 132 pp. Englisch.

Zustand: Hervorragend. Zustand: Hervorragend | Seiten: 224 | Sprache: Englisch | Produktart: Bücher.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The aim of this book is to present results related to Kato's famous inequality for bounded linear operators on complex Hilbert spaces obtained by the author in a sequence of recent research papers. As Linear Operator Theory in Hilbert spaces plays a central role in contemporary mathematics, with numerous applications in fields including Partial Differential Equations, Approximation Theory, Optimization Theory, and Numerical Analysis,the volume isintended for use by both researchers in various fields and postgraduate students and scientists applying inequalities in their specific areas.For the sake of completeness, all the results presented are completely proved and the original references where they have been firstly obtained are mentioned.

Zustand: New.

Zustand: New. pp. 222.

Zustand: New.

Gebunden. Zustand: New. Contains research, development and use of Mathematical Inequalities for Special Functions. This book features a presentation on special functions approximations and bounds via integral representation that utilises the classical Stevensen inequality and boun.

Zustand: New. In.

Gebunden. Zustand: New. 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 .

Zustand: Used. pp. xii + 243.

Zustand: New. In.