Exploring Mathematical Analysis, Approximation Theory, and Optimization

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Release : 2024-01-04
Genre : Mathematics
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Book Rating : 877/5 ( reviews)

Exploring Mathematical Analysis, Approximation Theory, and Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Exploring Mathematical Analysis, Approximation Theory, and Optimization write by Nicholas J. Daras. This book was released on 2024-01-04. Exploring Mathematical Analysis, Approximation Theory, and Optimization available in PDF, EPUB and Kindle. This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendre's work, contributions to this volume are devoted to those branches of mathematics and its applications that have been influenced, directly or indirectly, by the mathematician. Additional contributions provide a historical background as it relates to Legendre's work and its association to the foundation of Greece's higher education. Topics covered in this book include the investigation of the Jensen-Steffensen inequality, Ostrowski and trapezoid type inequalities, a Hilbert-Type Inequality, Hardy’s inequality, dynamic unilateral contact problems, square-free values of a category of integers, a maximum principle for general nonlinear operators, the application of Ergodic Theory to an alternating series expansion for real numbers, bounds for similarity condition numbers of unbounded operators, finite element methods with higher order polynomials, generating functions for the Fubini type polynomials, local asymptotics for orthonormal polynomials, trends in geometric function theory, quasi variational inclusions, Kleene fixed point theorems, ergodic states, spontaneous symmetry breaking and quasi-averages. It is hoped that this book will be of interest to a wide spectrum of readers from several areas of pure and applied sciences, and will be useful to undergraduate students, graduate level students, and researchers who want to be kept up to date on the results and theories in the subjects covered in this volume.

Exploring Mathematical Analysis, Approximation Theory, and Optimization

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Release : 2023-12-06
Genre : Mathematics
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Book Rating : 867/5 ( reviews)

Exploring Mathematical Analysis, Approximation Theory, and Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Exploring Mathematical Analysis, Approximation Theory, and Optimization write by Nicholas J. Daras. This book was released on 2023-12-06. Exploring Mathematical Analysis, Approximation Theory, and Optimization available in PDF, EPUB and Kindle. This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendre's work, contributions to this volume are devoted to those branches of mathematics and its applications that have been influenced, directly or indirectly, by the mathematician. Additional contributions provide a historical background as it relates to Legendre's work and its association to the foundation of Greece's higher education. Topics covered in this book include the investigation of the Jensen-Steffensen inequality, Ostrowski and trapezoid type inequalities, a Hilbert-Type Inequality, Hardy’s inequality, dynamic unilateral contact problems, square-free values of a category of integers, a maximum principle for general nonlinear operators, the application of Ergodic Theory to an alternating series expansion for real numbers, bounds for similarity condition numbers of unbounded operators, finite element methods with higher order polynomials, generating functions for the Fubini type polynomials, local asymptotics for orthonormal polynomials, trends in geometric function theory, quasi variational inclusions, Kleene fixed point theorems, ergodic states, spontaneous symmetry breaking and quasi-averages. It is hoped that this book will be of interest to a wide spectrum of readers from several areas of pure and applied sciences, and will be useful to undergraduate students, graduate level students, and researchers who want to be kept up to date on the results and theories in the subjects covered in this volume.

Mathematical Analysis, Approximation Theory and Their Applications

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Release : 2016-06-03
Genre : Mathematics
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Book Rating : 812/5 ( reviews)

Mathematical Analysis, Approximation Theory and Their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Analysis, Approximation Theory and Their Applications write by Themistocles M. Rassias. This book was released on 2016-06-03. Mathematical Analysis, Approximation Theory and Their Applications available in PDF, EPUB and Kindle. Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.

Approximation Theory and Analytic Inequalities

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Release : 2021-07-21
Genre : Mathematics
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Book Rating : 228/5 ( reviews)

Approximation Theory and Analytic Inequalities - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Approximation Theory and Analytic Inequalities write by Themistocles M. Rassias. This book was released on 2021-07-21. Approximation Theory and Analytic Inequalities available in PDF, EPUB and Kindle. This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role. It features cutting-edge research on a wide spectrum of analytic inequalities with emphasis on differential and integral inequalities in the spirit of functional analysis, operator theory, nonlinear analysis, variational calculus, featuring a plethora of applications, making this work a valuable resource. The reader will be exposed to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, PDEs, fractional integral inequalities, multidimensional numerical integration, Gauss–Jacobi and Hermite–Hadamard type inequalities, Hilbert-type inequalities, and Ulam’s stability of functional equations. Contributions have been written by eminent researchers, providing up-to-date information and several results which may be useful to a wide readership including graduate students and researchers working in mathematics, physics, economics, operational research, and their interconnections.

Approximation Theory and Optimization

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Release : 1997-11-13
Genre : Mathematics
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Book Rating : 905/5 ( reviews)

Approximation Theory and Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Approximation Theory and Optimization write by M. D. Buhmann. This book was released on 1997-11-13. Approximation Theory and Optimization available in PDF, EPUB and Kindle. Michael Powell is one of the world's foremost figures in numerical analysis. This volume, first published in 1997, is derived from invited talks given at a meeting celebrating his 60th birthday and, reflecting Powell's own achievements, focuses on innovative work in optimisation and in approximation theory. The individual papers have been written by leading authorities in their subjects and are a mix of expository articles and surveys. They have all been reviewed and edited to form a coherent volume for this important discipline within mathematics, with highly relevant applications throughout science and engineering.