Approximation Theory and Analytic Inequalities

We apply these inequalities to provide approximations for the integral of a real valued function. ... Approximation Theory and Analytic Inequalities, https://doi.org/10.1007/978-3-030-60622-0_15 valued function f .

Approximation Theory and Analytic Inequalities

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.

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Approximation Theory and Analytic Inequalities
Language: en
Pages: 546
Authors: Themistocles M. Rassias
Categories: Mathematics
Type: BOOK - Published: 2021-07-21 - Publisher: Springer Nature

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
Analytic Number Theory, Approximation Theory, and Special Functions
Language: en
Pages: 880
Authors: Gradimir V. Milovanović, Michael Th. Rassias
Categories: Mathematics
Type: BOOK - Published: 2014-07-08 - Publisher: Springer

This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and
Differential and Integral Inequalities
Language: en
Pages: 854
Authors: Dorin Andrica, Themistocles M. Rassias
Categories: Mathematics
Type: BOOK - Published: 2019-11-14 - Publisher: Springer Nature

Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall,
Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomial
Language: en
Pages: 442
Authors: Robert B. Gardner, Narendra K. Govil, Gradimir V. Milovanovic
Categories: Mathematics
Type: BOOK - Published: 2022-03-14 - Publisher: Academic Press

Inequalities for polynomials and their derivatives are very important in many areas of mathematics, as well as in other computational and applied sciences; in particular they play a fundamental role in approximation theory. Here, not only Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials, but also ones for
Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations
Language: en
Pages: 319
Authors: George A. Anastassiou
Categories: Technology & Engineering
Type: BOOK - Published: 2017-09-02 - Publisher: Springer

This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book’s results are abstract in nature: analytic inequalities, Korovkin approximation of functions and neural network approximation. The chapters are self-contained and can be read independently. This concise book is suitable for use