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

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.​

---

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.?

---

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.?
Content:
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 Sz?sz–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 Sz?sz–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
Study of Third-Order Three-Point Boundary Value Problem with Dependence on the First-Order Derivative....Pages 411-419
Reverse and Forward Fractional Integral Inequalities....Pages 421-439
Back Matter....Pages 441-478
....Pages 479-486