Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012

Approximation by Neural Networks Iterates. George A. Anastassiou.- Univariate Hardy Type Fractional Inequalities. George A. Anastassiou.- Statistical Convergence on Time Scales and its Characterizations. Ceylan Turan and Oktay Duman.- On the g-Jacobi Matrix Functions Bayram C¸ ekim and Esra Erkus¸-Duman.-Linear Combinations of Genuine Sz´asz-Mirakjan-Durrmeyer Operators. Margareta Heilmann and Gancho Tachev.- Extensions of Schur's Inequality for the Leading Coefficient of Bounded Polynomials with Two Prescribed Zeros. Heinz-Joachim Rack.- An Example of Optimal Nodes for Interpolation Revisited. Heinz-Joachim Rack.-Theory of Differential Approximations of Radiative Transfer Equation. Weimin Han, Joseph A. Eichholz and Qiwei Sheng.- Inverse Spectral Problems for Complex Jacobi Matrices. Gusein Sh. Guseinov.- To Approximate Solution of Ordinary Differential Equations, I. Tamaz S. Vashakmadze.- A Hybrid Method for Inverse Scattering Problem for a Dielectric. Ahmet Altundag.- Solving Second Order Discrete Sturm-Liouville BVP Using Matrix Pencils. Michael K. Wilson and Aihua Li.- Approximation Formulas for the Ergodic Moments of Gaussian Random Walk with a Reflecting Barrier. Tahir Khaniyev, Basak Gever and Zulfiyya Mammadova.-A Generalization of Some Orthogonal Polynomials. Boussayoud Ali, Kerada Mohamed and Abdelhamid Abderrezzak.-Numerical Study of the High-Contrast Stokes Equation and its Robust Preconditioning. Burak Aksoylu and Zuhal Unlu.- Extension of Karmarkar's Algorithm for Solving an Optimization Problem. El Amir Djeffal, Lakhdar Djeffal and Djamel Benterki.- State Dependent Sweeping Process with Perturbation. Tahar Haddad and Touma Haddad.- Boundary Value Problems for Impulsive Fractional Differential Equations with Non-Local Conditions. Hilmi Ergoren and M. Giyas Sakar.- The Construction of Particular Solutions of the Nonlinear Equation of Schodinger Type. K.R. Yesmakhanova and Zh.R. Myrzakulova.- A Method of Solution for Integro-Differential Parabolic Equation with Purely Integral Conditions. Ahcene Merad and Abdelfatah Bouziani.- A Better Error Estimation On Sz´asz Baskakov Durrmeyer Operators. Neha Bhardwaj and Naokant Deo.- About New Class of Volterra Type Integral Equations with Boundary Singularity in Kernels. Nusrat Rajabov.- Fractional Integration of the Product of Two Multivariables H-Function and a General Class of Polynomials. Praveen Agarwal.- Non-Asymptotic Norm Estimates for the q-Bernstein Operators. Sofiya Ostrovska and Ahmet Yas¸ar O¨ zban.- Approximation Techniques in Impulsive Control Problems for the Tubes of Solutions of Uncertain Differential Systems. Tatiana Filippova.- A New Viewpoint to Fourier Analysis in Fractal Space. Mengke Liao, Xiaojun Yang and Qin Yan.- Non-Solvability of Balakrishnan-Taylor Equation With Memory Term in RN , Abderrahmane Zarai and Nasser-eddine Tatar.- Study of Third-Order Three-Point Boundary Value Problem With Dependence on the First Order Derivative. A. Guezane-Lakoud and L. Zenkoufi.- Reverse and Forward Fractional Integral Inequalities. George A. Anastassiou and Razvan A. Mezei.