Computational Analysis: AMAT, Ankara, May 2015 Selected Contributions

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George A. Anastassiou, Oktay Duman
Springer, Jun 20, 2016 - Mathematics - 396 pages
Featuring the clearly presented and expertly-refereed contributions of leading researchers in the field of approximation theory, this volume is a collection of the best contributions at the Third International Conference on Applied Mathematics and Approximation Theory, an international conference held at TOBB University of Economics and Technology in Ankara, Turkey, on May 28-31, 2015.

The goal of the conference, and this volume, is to bring together key work from researchers in all areas of approximation theory, 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. These topics are presented both within their traditional context of approximation theory, while also focusing on their connections to applied mathematics. As a result, this collection will be an invaluable resource for researchers in applied mathematics, engineering and statistics.
 

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Contents

1 Bivariate Left Fractional PseudoPolynomial Monotone Approximation
1
2 Bivariate Right Fractional Polynomial Monotone Approximation
19
3 Uniform Approximation with Rates by Multivariate Generalized Discrete Singular Operators
33
4 Summation Process by MaxProduct Operators
59
5 Fixed Point in a Nonmetrizable Space
69
6 Second Hankel Determinant for New Subclass Defined by a Linear Operator
79
7 Some Asymptotics for Extremal Polynomials
87
8 Some Differential Subordinations Using Ruscheweyh Derivative and a Multiplier Transformation
103
15 Blow Up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions
211
16 Functional Inequalities in Fuzzy Normed Spaces
225
17 Principal Vectors of MatrixValued Difference Operators
247
18 Some Extensions of Preinvexity for Stochastic Processes
259
19 On One BoundaryValue Problem with Two Nonlocal Conditions for a Parabolic Equation
271
20 Neighborhoods of Analytic Functions Associated with Fractional Derivative
289
21 Spectrums of Solvable Pantograph Type Delay Differential Operators for First Order
299
22 Noncommutative Geometry and Applications to Physical Systems
313

9 Some Results on the Bivariate Laguerre Polynomials
125
10 Inner Product Spaces and Quadratic Functional Equations
137
11 Fuzzy Partial Metric Spaces
153
12 Bounded and Unbounded Fundamental Solutions in MAC Models
163
13 Schurer Generalization of qHybrid Summation Integral Type Operators
179
14 Approximation by qBaskakovDurrmeyer Type Operators of Two Variables
195
23 The stGeneralized Jacobsthal Matrix Sequences
325
24 Domain Decomposition Approximation Approach for an Elliptic Partial Differential Equation
337
25 Voronovskaja Type Approximation Theorem for qSzaszSchurer Operators
353
26 Approximation to Derivatives of Functions by Linear Operators Acting on Weighted Spaces by Power Series Method
363
27 Generalized Iterated Fractional Representation Formulae and Inequalities
373
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