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Titlebook: Exploring Mathematical Analysis, Approximation Theory, and Optimization; 270 Years Since A.-M Nicholas J. Daras,Michael Th. Rassias,Nikolao

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书目名称Exploring Mathematical Analysis, Approximation Theory, and Optimization
副标题270 Years Since A.-M
编辑Nicholas J. Daras,Michael Th. Rassias,Nikolaos B.
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概述Compiles research on various developments in mathematical analysis, approximation theory and optimization.Devoted to those branches of mathematics and its applications that have been influenced.Provid
丛书名称Springer Optimization and Its Applications
图书封面Titlebook: Exploring Mathematical Analysis, Approximation Theory, and Optimization; 270 Years Since A.-M Nicholas J. Daras,Michael Th. Rassias,Nikolao
描述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 po
出版日期Book 2023
关键词analytic inequalities; polynomial approximation; variational principles; nonlinear analysis; functional
版次1
doihttps://doi.org/10.1007/978-3-031-46487-4
isbn_softcover978-3-031-46489-8
isbn_ebook978-3-031-46487-4Series ISSN 1931-6828 Series E-ISSN 1931-6836
issn_series 1931-6828
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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On the Application of Ergodic Theory to an Alternating Series Expansion for Real Numbers,ernating series representations in terms of rationals we present some important results arising from the application of ergodic theory to an alternating series expansion for real numbers in terms of rationals generating from another algorithm called . which gives generalized versions of the correspo
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Finite Element Methods with Higher Order Polynomials,uations’ non-linearities. For this reason, novel formulations of FEM were introduced, including the use of orthogonal polynomials and high-order polynomials. In this review, the focus rests on studying and analysing the aforementioned formulations and describing their improvements over the classical
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On a Reverse Hilbert-Type Inequality in the Whole Plane with Multi-Parameters,ality in the whole plane with multi-parameters. The corresponding constant factor of the inequality is proved to be the best possible. Moreover, we also consider equivalent forms and a few particular inequalities.
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On Ergodic States, Spontaneous Symmetry Breaking and Quasi-Averages,es include quantum spin systems and many-body boson systems. As a consequence, we elucidate the problem of equivalence between Bose-Einstein condensation and the quasi-average spontaneous symmetry breaking of the gauge invariance recently discussed for continuous boson systems. The multi-mode extend
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