Inequality Theory And Applications
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Inequality Theory And Applications
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Author : Yeol Je Cho
language : en
Publisher: Nova Biomedical Books
Release Date : 2001
Inequality Theory And Applications written by Yeol Je Cho and has been published by Nova Biomedical Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This book examines new topics in the areas of fixed point theory, variational inequality and complementarity problem theory, non-linear ergodic theory, difference, differential and integral equations, control and optimisation theory, dynamic system theory, inequality theory, stochastic analysis and probability theory, and their applications. Contents: Perturbed Version of a General Trapezoid Inequality; Perturbed Three-Point Rules; Three-Point Inequalities from Riemann-Stieltjes Integrals; Geometric Means, Index Mappings and Entropy; On Some Recent Results Related to Jessen's Inequality for Convex Functions; Estimates for an Integral in Lp Norm of the (n+1)-th Derivative of its Integrand; Some Refinements of the Triangle and Cauchy-Schwartz Inequalities in Inner Product Spaces; On the Algebraic Character of Blundon's Inequalities; The Jensen's Equation in Banach Modules over a C-Algebra; Improved Weighted Ostrowski-Gruss Type Inequalities; Sequences Supplied by Inequalities and Applications; Inequalities on Polynomial Divisors; Chebyshev-Anderson's Inequality; Convexity of the Gamma Function with Respect to Holder Means; Generalised Perturbed Inequalities of Ostrowski Type and Appl
Inequality Theory And Applications
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Author : Dragomir Sever Silvestru Kim Jong Kyu Cho Yeol Je
language : en
Publisher:
Release Date : 2012-02
Inequality Theory And Applications written by Dragomir Sever Silvestru Kim Jong Kyu Cho Yeol Je and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02 with Mathematics categories.
This book introduces and exchanges recent innovative topics on the areas of fixed point theory, convex and set-valued analysis, variational inequality and complementarity problem theory, nonlinear ergodic theory, difference, differential and integral equations, control and optimization theory, dynamic system theory, inequality theory, stochastic analysis and probability theory, and their applications.
An Introduction To Theory And Applications Of Stationary Variational Hemivariational Inequalities
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Author : Weimin Han
language : en
Publisher: Springer Nature
Release Date : 2024-11-01
An Introduction To Theory And Applications Of Stationary Variational Hemivariational Inequalities written by Weimin Han and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-01 with Mathematics categories.
This book offers a comprehensive and accessible introduction to the mathematical theory of stationary Variational-Hemivariational Inequalities (VHIs), a rapidly growing area of research with significant applications in science and engineering. Unlike traditional approaches that rely heavily on abstract inclusion results for pseudomonotone operators, this work presents a more user-friendly method grounded in basic Functional Analysis. VHIs include variational inequalities and hemivariational inequalities as special cases. The book systematically categorizes and names different VHIs, making it easier for readers to understand the specific problems being addressed. Designed for graduate students and researchers in mathematics, physical sciences, and engineering, this monograph not only provides a concise review of essential materials in Sobolev spaces, convex analysis, and nonsmooth analysis but also delves into applications in contact and fluid mechanics. Through detailed explanations and practical examples, the book bridges the gap between theory and practice, making the complex subject of VHIs more approachable. By focusing on the well-posedness of various forms of VHIs and extending the analysis to include mixed VHIs for the Stokes and Navier-Stokes equations, this book serves as an essential resource for anyone interested in the modeling, analysis, numerical solutions, and real-world applications of VHIs.
Advanced Inequalities
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Author : George A. Anastassiou
language : en
Publisher: World Scientific
Release Date : 2011
Advanced Inequalities written by George A. Anastassiou and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
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 HardyOpial type inequalities are examined. Works on ordinary and distributional Taylor formulae with estimates for their remainders and applications as well as ChebyshevGruss, 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.
Inequality Theory And Applications
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Author : Yeol Je Cho
language : en
Publisher: Nova Science Publishers
Release Date : 2011-02-16
Inequality Theory And Applications written by Yeol Je Cho and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-16 with Inequalities (Mathematics). categories.
This book introduces and exchanges recent innovative topics on the areas of fixed point theory, convex and set-valued analysis, variational inequality and complementarity problem theory, non-linear ergodic theory, difference, differential and integral equations, control and optimisation theory, dynamic system theory, inequality theory, stochastic analysis and probability theory, and their applications.
Mathematical Analysis Optimization Approximation And Applications
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Author : Panos M Pardalos
language : en
Publisher: World Scientific
Release Date : 2025-01-17
Mathematical Analysis Optimization Approximation And Applications written by Panos M Pardalos and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-17 with Mathematics categories.
The comprehensive volume focuses on both research and survey papers presenting results in a broad spectrum of subjects in pure and applied mathematics, such as in approximation theory, optimization and their applications.Topics within this book include Sobolev spaces, Banach spaces, locally convex spaces, integral operators, Szasz-Mirakyan operators, to name a few.This useful reference text benefits professionals, academics, graduate students and advanced research scientists in theoretical computer science, computer mathematics and general applied mathematics. Effort was also made for the content to constitute a reference source for researchers in physics and engineering.
Integral And Finite Difference Inequalities And Applications
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Author : B. G. Pachpatte
language : en
Publisher: Elsevier
Release Date : 2006-09-14
Integral And Finite Difference Inequalities And Applications written by B. G. Pachpatte and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-14 with Mathematics categories.
The monograph is written with a view to provide basic tools for researchers working in Mathematical Analysis and Applications, concentrating on differential, integral and finite difference equations. It contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools and will be a valuable source for a long time to come. It is self-contained and thus should be useful for those who are interested in learning or applying the inequalities with explicit estimates in their studies. - Contains a variety of inequalities discovered which find numerous applications in various branches of differential, integral and finite difference equations - Valuable reference for someone requiring results about inequalities for use in some applications in various other branches of mathematics - Highlights pure and applied mathematics and other areas of science and technology
Mathematical Analysis And Applications
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Author : Themistocles M. Rassias
language : en
Publisher: Springer Nature
Release Date : 2019-12-12
Mathematical Analysis And Applications written by Themistocles M. Rassias and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-12 with Mathematics categories.
An international community of experts scientists comprise the research and survey contributions in this volume which covers a broad spectrum of areas in which analysis plays a central role. Contributions discuss theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more. This volume is useful to graduate students and researchers working in mathematics, physics, engineering, and economics.
Multidimensional Integral Equations And Inequalities
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Author : B.G. Pachpatte
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-26
Multidimensional Integral Equations And Inequalities written by B.G. Pachpatte and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-26 with Mathematics categories.
Since from more than a century, the study of various types of integral equations and inequalities has been focus of great attention by many researchers, interested both in theory and its applications. In particular, there exists a very rich literature related to the integral equations and inequalities and their applications. The present monograph is an attempt to organize recent progress related to the Multidimensional integral equations and inequalities, which we hope will widen the scope of their new applications. The field to be covered is extremely wide and it is nearly impossible to treat all of them here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with reasonable background in real analysis and acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be an invaluable reading for mathematicians, physicists and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.
Analytic And Geometric Inequalities And Applications
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Author : Themistocles RASSIAS
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analytic And Geometric Inequalities And Applications written by Themistocles RASSIAS and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Analytic and Geometric Inequalities and Applications is devoted to recent advances in a variety of inequalities of Mathematical Analysis and Geo metry. Subjects dealt with in this volume include: Fractional order inequalities of Hardy type, differential and integral inequalities with initial time differ ence, multi-dimensional integral inequalities, Opial type inequalities, Gruss' inequality, Furuta inequality, Laguerre-Samuelson inequality with extensions and applications in statistics and matrix theory, distortion inequalities for ana lytic and univalent functions associated with certain fractional calculus and other linear operators, problem of infimum in the positive cone, alpha-quasi convex functions defined by convolution with incomplete beta functions, Chebyshev polynomials with integer coefficients, extremal problems for poly nomials, Bernstein's inequality and Gauss-Lucas theorem, numerical radii of some companion matrices and bounds for the zeros of polynomials, degree of convergence for a class of linear operators, open problems on eigenvalues of the Laplacian, fourth order obstacle boundary value problems, bounds on entropy measures for mixed populations as well as controlling the velocity of Brownian motion by its terminal value. A wealth of applications of the above is also included. We wish to express our appreciation to the distinguished mathematicians who contributed to this volume. Finally, it is our pleasure to acknowledge the fine cooperation and assistance provided by the staff of Kluwer Academic Publishers. June 1999 Themistocles M. Rassias Hari M.