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Exploring mathematical analysis, app...

Daras, Nicholas J.

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Exploring mathematical analysis, approximation theory, and optimization = 270 years since A.-M. Legendre's birth /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Exploring mathematical analysis, approximation theory, and optimization/ edited by Nicholas J. Daras, Michael Th. Rassias, Nikolaos B. Zographopoulos.
Reminder of title:	270 years since A.-M. Legendre's birth /
other author:	Daras, Nicholas J.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	viii, 473 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mathematical analysis. -
Online resource:	https://doi.org/10.1007/978-3-031-46487-4
ISBN:	9783031464874

Exploring mathematical analysis, approximation theory, and optimization = 270 years since A.-M. Legendre's birth /
Exploring mathematical analysis, approximation theory, and optimization270 years since A.-M. Legendre's birth /[electronic resource] :edited by Nicholas J. Daras, Michael Th. Rassias, Nikolaos B. Zographopoulos. - Cham :Springer International Publishing :2023. - viii, 473 p. :ill., digital ;24 cm. - Springer optimization and its applications,v. 2071931-6836 ;. - Springer optimization and its applications ;v. 207..

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.

ISBN: 9783031464874

Standard No.: 10.1007/978-3-031-46487-4doiSubjects--Topical Terms:

516833
Mathematical analysis.

LC Class. No.: QA300

Dewey Class. No.: 515

Exploring mathematical analysis, approximation theory, and optimization = 270 years since A.-M. Legendre's birth /
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520 $a 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.
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