Advances in Applied Mathematics and Approximation Theory

1. Front Matter

   Pages i-xix

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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

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.​

• AMAT 2012
• Approximations and Expansions
• Fractional Calculus
• Numerical Analysis
• Ordinary and Partial Differential Equations
• Time Scales
• ordinary differential equations
• partial differential equations

• , 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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