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

Front Matter....Pages i-xix
Approximation by Neural Networks Iterates....Pages 1-20
Univariate Hardy-Type Fractional Inequalities....Pages 21-56
Statistical Convergence on Timescales and Its Characterizations....Pages 57-71
On the g -Jacobi Matrix Functions....Pages 73-84
Linear Combinations of Genuine Szász–Mirakjan–Durrmeyer Operators....Pages 85-105
Extensions of Schur’s Inequality for the Leading Coefficient of Bounded Polynomials with Two Prescribed Zeros....Pages 107-116
An Example of Optimal Nodes for Interpolation Revisited....Pages 117-120
Theory of Differential Approximations of Radiative Transfer Equation....Pages 121-148
Inverse Spectral Problems for Complex Jacobi Matrices....Pages 149-163
To Approximate Solution of Ordinary Differential Equations, I....Pages 165-181
A Hybrid Method for Inverse Scattering Problem for a Dielectric....Pages 183-200
Solving Second-Order Discrete Sturm–Liouville BVP Using Matrix Pencils....Pages 201-214
Approximation Formulas for the Ergodic Moments of Gaussian Random Walk with a Reflecting Barrier....Pages 215-228
A Generalization of Some Orthogonal Polynomials....Pages 229-235
Numerical Study of the High-Contrast Stokes Equation and Its Robust Preconditioning....Pages 237-262
Extension of Karmarkar’s Algorithm for Solving an Optimization Problem....Pages 263-271
State-Dependent Sweeping Process with Perturbation....Pages 273-281
Boundary Value Problems for Impulsive Fractional Differential Equations with Nonlocal Conditions....Pages 283-297
The Construction of Particular Solutions of the Nonlinear Equation of Schrodinger Type....Pages 299-316
A Method of Solution for Integro-Differential Parabolic Equation with Purely Integral Conditions....Pages 317-327
A Better Error Estimation On Szász–Baskakov–Durrmeyer Operators....Pages 329-338
About New Class of Volterra-Type Integral Equations with Boundary Singularity in Kernels....Pages 339-358
Fractional Integration of the Product of Two Multivariables H -Function and a General Class of Polynomials....Pages 359-374
Non-asymptotic Norm Estimates for the q -Bernstein Operators....Pages 375-384
Approximation Techniques in Impulsive Control Problems for the Tubes of Solutions of Uncertain Differential Systems....Pages 385-396
A New Viewpoint to Fourier Analysis in Fractal Space....Pages 397-409
Non-solvability of Balakrishnan–Taylor Equation with Memory Term in $${\\mathbb{R}}^{N}$$ ....Pages 411-419
Study of Third-Order Three-Point Boundary Value Problem with Dependence on the First-Order Derivative....Pages 421-439
Reverse and Forward Fractional Integral Inequalities....Pages 441-478
Back Matter....Pages 479-486