Computational Analysis

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.

Brings together researchers from applied mathematics and approximation theory? Featuring unique presentations from research in the fields of engineering, statistics, and their connections to approximation theory Contextualizes traditional subfields of approximation theory while also examining connections to applied mathematics Includes supplementary material: sn.pub/extras

Klappentext
This special volume is a collection of outstanding theoretical articles presented at the conference AMAT 2015, held in Ankara, Turkey from May 28-31, 2015, at TOBB University of Economics and Technology.
The collection is suitable for a range of applications: from researchers and practitioners of applied and computational mathematics, to students in graduate-level seminars. Furthermore it will be a useful resource for all science libraries.
This book includes 27 self-contained and expertly-refereed chapters that provide numerous insights into the latest developments at the intersection of applied and computational mathematics, engineering, and statistics.

Inhalt
Bivariate Left Fractional Pseudo-Polynomial Monotone Approximation (Anastassiou, G.A.).- Bivariate Right Fractional Polynomial Monotone Approximation (Anastassiou, G.A.).- Uniform Approximation with Rates by Multivariate Generalized Discrete Singular Operators (Anastassiou, G.A. & Kester, M.).- Summation Process by Max-Product Operators (Gökçer, T.Y. & Duman, O.).- Fixed Point in a Non-Metrizable Space (Tallafha, A. & Alhihi, S.A.).- Second Hankel Determinant for New Subclass Defined by a Linear Operator (Amer, A.A.).- Some Asymptotics for Extremal Polynomials (Alpan, G., Goncharov, A. & Hatinoglu, B.).- Some Differential Subordinations Using Ruscheweyh Derivative and a Multiplier Transformation (Lupas, A.A.).- Some Results on the Bivariate Laguerre Polynomials (Özarslan, M.A. & Kürt, C.).- Inner Product Spaces and Quadratic Functional Equations (Park, C., Park, W.-G. & Rassias, T.M.).- Fuzzy Partial Metric Spaces (Amer, F.J.).- Bounded and Unbounded FundamentalSolutions in MAC Models (Neygebauer, I.).- Schurer Generalization of q-Hybrid Summation Integral Type Operators (Vural, ., Altn, B. & Yüksel, I.).- Approximation by q-Baskakov-Durrmeyer Type Operators of Two Variables (Yüksel, ., Dinlemez, Ü. & Altn, B.).- Blow up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions (Kalantarova, J. & Polat, M.).- Functional Inequalities in Fuzzy Normed Spaces (Lee, J.R., Saadati, R. & Shin, D.Y.).- Principal Vectors of Matrix-valued Difference Operators (Aygar, Y. & Olgun, M.).- Some Extensions of Preinvexity for Stochastic Processes (Okur Bekar, N., Günay Akdemir, H. & can, .).- On One Boundary-Value Problem with Two Nonlocal Conditions for a Parabolic Equation (Danilkina, O.).- Neighborhoods of Analytic Functions Associated with Fractional Derivative (Altnta, O).- Spectrums of Solvable Pantograph Type Delay Differential Operators for First Order (Ismailov, Z.I. & Ipek, P.).- Non-Commutative Geometry and Applications to Physical Systems (Zaim, S.).- The (s,t)-Generalized Jacobsthal Matrix Sequences (Uygun, . & Uslu, K.).- Domain Decomposition Approximation Approach for an Elliptic Partial Differential Equation (Buttar, T.N. & Sajid, N.).- Voronovskaja Type Approximation Theorem for q-Szasz-Schurer Operators (Vedi, T. & Özarslan, M.A.).- Approximation to Derivatives of Functions by Linear Operators Acting on Weighted Spaces by Power Series Method (Ta, E. & Yurdakadim, T.).- Generalized Iterated Fractional Representation Formulae and Inequalities (Anastassiou, G.A.).