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George A Anastassiou

Most popular at the top

  • The History of Approximation Theoryby George A. Anastassiou

    Springer 2007; US$ 109.00

    Traces the history of approximation theory from Leonhard Euler's cartographic investigations at the end of the 18th century to the early 20th century contributions of Sergei Bernstein in defining a branch of function theory. Demonstrating technical control of the underlying mathematics, it focuses on the results for the development of the theory. more...

  • Fractional Differentiation Inequalitiesby George A. Anastassiou

    Springer 2009; US$ 139.00

    Presents the Opial, Poincare, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. This monograph examines both the univariate and multivariate cases. It is suitable for researchers and graduate students in pure mathematics, applied mathematicians, engineers, and other applied scientists. more...

  • Advanced Inequalitiesby George A. Anastassiou

    World Scientific Publishing Company 2010; US$ 154.00

    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... more...

  • Inequalities Based on Sobolev Representationsby George A. Anastassiou

    Springer 2011; US$ 49.95

    Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Gruss, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions. Applications illustrate inequalities that engage in ordinary and weak partial derivatives of the involved... more...

  • Intelligent Systemsby George A. Anastassiou

    Springer 2011; US$ 159.00

    This brief monograph is the first one to deal exclusively with the quantitative approximation by artificial neural networks to the identity-unit operator. Here we study with rates the approximation properties of the "right" sigmoidal and hyperbolic tangent artificial neural network positive linear operators. In particular we study the degree... more...

  • Advances on Fractional Inequalitiesby George A. Anastassiou

    Springer 2011; US$ 49.95

    Advances on Fractional Inequalities use primarily the Caputo fractional derivative, as the most important in applications, and presents the first fractional differentiation inequalities of Opial type which involves the balanced fractional derivatives. The book continues with right and mixed fractional differentiation Ostrowski inequalities in the univariate... more...

  • Approximation by Multivariate Singular Integralsby George A. Anastassiou

    Springer 2011; US$ 49.95

    Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard,... more...

  • Applied Mathematics Reviews, Volume 1by George A. Anastassiou

    World Scientific Publishing Company 2000; US$ 249.00

    Applied mathematics connects the mathematical theory to the reality by solving real world problems and shows the power of the science of mathematics, greatly improving our lives. Therefore it plays a very active and central role in the scientific world.This volume contains 14 high quality survey articles — incorporating original results and... more...

  • Towards Intelligent Modelingby George A. Anastassiou; Oktay Duman

    Springer 2011; US$ 129.00

    The main idea of statistical convergence is to demand convergence only for a majority of elements of a sequence. This method of convergence has been investigated in many fundamental areas of mathematics such as: measure theory, approximation theory, fuzzy logic theory, summability theory, and so on. In this monograph we consider this concept in approximating... more...