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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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 Fundamental Solutions in MAC Models (Neygebauer, I.).- Schurer Generalization of q-Hybrid Summation Integral Type Operators (Vural, İ., Altın, B. & Yüksel, I.).- Approximation by q-Baskakov-Durrmeyer Type Operators of Two Variables (Yüksel, İ., Dinlemez, Ü. & Altın, 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. & İşcan, İ.).- On One Boundary-Value Problem with Two Nonlocal Conditions for a Parabolic Equation (Danilkina, O.).- Neighborhoods of Analytic Functions Associated with Fractional Derivative (Altıntaş, 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, Ş. & 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 (Taş, E. & Yurdakadim, T.).- Generalized Iterated Fractional Representation Formulae and Inequalities (Anastassiou, G.A.).