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George A Anastassiou

Most popular at the top

  • Fractional Differentiation Inequalitiesby George A. Anastassiou

    Springer New York 2009; US$ 139.00

    This book presents the Opial, Poincare, Sobolev, Hilbert and Ostrowski fractional differentiation equalities, and results are derived for each using three different types of fractional derivatives. The univariate and multivariate cases are both examined. more...

  • Advanced Inequalitiesby George A. Anastassiou

    World Scientific Publishing Company 2010; US$ 166.00

    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 New York 2011; US$ 49.95

    Inequalities based on Sobolev Representations deals exclusively with tight integral inequalities of Chebyshev-Grüss and Ostrowski types, and of integral means. Applications illustrate inequalities that engage in ordinary and weak partial derivatives of the involved functions. more...

  • Advances on Fractional Inequalitiesby George A. Anastassiou

    Springer New York 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... more...

  • Approximation by Multivariate Singular Integralsby George A. Anastassiou

    Springer New York 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...

  • Probabilistic Inequalitiesby George A. Anastassiou

    World Scientific Publishing Company 2009; US$ 172.00

    In this monograph, the author presents univariate and multivariate probabilistic inequalities with coverage on basic probabilistic entities like expectation, variance, moment generating function and covariance. These are built on the recent classical form of real analysis inequalities which are also discussed in full details. This treatise is the culmination... more...

  • Intelligent Mathematics: Computational Analysisby George A. Anastassiou

    Springer Berlin Heidelberg 2011; US$ 329.00

    Knowledge can be modeled and computed using computational mathematical methods, then lead to real world conclusions. This book examines a wide array of topics in computational analysis. more...

  • Intelligent Systems: Approximation by Artificial Neural Networksby George A. Anastassiou

    Springer Berlin Heidelberg 2011; US$ 179.00

    This brief monograph is the first to deal exclusively with the quantitative approximation by artificial neural networks to the identity-unit operator. Each chapter is written in a self-contained style, with all necessary background and motivations included. more...

  • Modern Differential Geometry in Gauge Theoriesby Anastasios Mallios; George A. Anastassiou

    Birkhäuser Boston 2006; US$ 189.00

    Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author?s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented... more...