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Advances in Applied Mathematics and Approximation Theory

Contributions from AMAT 2012

  • Conference proceedings
  • © 2013

Overview

Editors:
  1. George A. Anastassiou

    1. , Department of Mathematical Sciences, The University of Memphis, Memphis, USA

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  2. Oktay Duman

    1. , Department of Mathematics, TOBB Economics and Technology University, Ankara, Turkey

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    You can also search for this editor in PubMed   Google Scholar

  • Contributions from the only conference to bring together researchers from applied mathematics and approximation theory
  • Featuring clearly presented and unique contributions of the most recent advances in the field ?
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 41)

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Table of contents (29 papers)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. Approximation by Neural Networks Iterates

    • George A. Anastassiou
    Pages 1-20

  3. Univariate Hardy-Type Fractional Inequalities

    • George A. Anastassiou
    Pages 21-56

  4. Statistical Convergence on Timescales and Its Characterizations

    • Ceylan Turan, Oktay Duman
    Pages 57-71

  5. On the g-Jacobi Matrix Functions

    • Bayram Çekim, Esra Erkuş-Duman
    Pages 73-84

  6. Linear Combinations of Genuine Szász–Mirakjan–Durrmeyer Operators

    • Margareta Heilmann, Gancho Tachev
    Pages 85-105

  7. Extensions of Schur’s Inequality for the Leading Coefficient of Bounded Polynomials with Two Prescribed Zeros

    • Heinz-Joachim Rack
    Pages 107-116

  8. An Example of Optimal Nodes for Interpolation Revisited

    • Heinz-Joachim Rack
    Pages 117-120

  9. Theory of Differential Approximations of Radiative Transfer Equation

    • Weimin Han, Joseph A. Eichholz, Qiwei Sheng
    Pages 121-148

  10. Inverse Spectral Problems for Complex Jacobi Matrices

    • Gusein Sh. Guseinov
    Pages 149-163

  11. To Approximate Solution of Ordinary Differential Equations, I

    • Tamaz S. Vashakmadze
    Pages 165-181

  12. A Hybrid Method for Inverse Scattering Problem for a Dielectric

    • Ahmet Altundag
    Pages 183-200

  13. Solving Second-Order Discrete Sturm–Liouville BVP Using Matrix Pencils

    • Michael K. Wilson, Aihua Li
    Pages 201-214

  14. Approximation Formulas for the Ergodic Moments of Gaussian Random Walk with a Reflecting Barrier

    • Tahir Khaniyev, Basak Gever, Zulfiyya Mammadova
    Pages 215-228

  15. A Generalization of Some Orthogonal Polynomials

    • Boussayoud Ali, Kerada Mohamed, Abdelhamid Abderrezzak
    Pages 229-235

  16. Numerical Study of the High-Contrast Stokes Equation and Its Robust Preconditioning

    • Burak Aksoylu, Zuhal Unlu
    Pages 237-262

  17. Extension of Karmarkar’s Algorithm for Solving an Optimization Problem

    • El Amir Djeffal, Lakhdar Djeffal, Djamel Benterki
    Pages 263-271

  18. State-Dependent Sweeping Process with Perturbation

    • Tahar Haddad, Touma Haddad
    Pages 273-281

  19. Boundary Value Problems for Impulsive Fractional Differential Equations with Nonlocal Conditions

    • Hilmi Ergören, M. Giyas Sakar
    Pages 283-297

  20. The Construction of Particular Solutions of the Nonlinear Equation of Schrodinger Type

    • K. R. Yesmakhanova, Zh. R. Myrzakulova
    Pages 299-316
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About this book

Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012,” an international conference held in Ankara, Turkey, May 17-20, 2012. This volume brings together key work from authors in the field covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. The collection will be a useful resource for researchers in applied mathematics, engineering and statistics.​

Editors and Affiliations

  • , Department of Mathematical Sciences, The University of Memphis, Memphis, USA

    George A. Anastassiou

  • , Department of Mathematics, TOBB Economics and Technology University, Ankara, Turkey

    Oktay Duman

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