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E-raamat: Computational Analysis: AMAT, Ankara, May 2015 Selected Contributions

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Featuring the clearly presented and unique 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 re

searchers in applied mathematics, engineering and statistics.__

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 M

odels (Neygebauer, I.).- Schurer Generalization of q-Hybrid Summation Integral Type Operators (Vural, _., Alt_n, B. & Yüksel, I.).- Approximation by q-Baskakov-Durrmeyer Type Operators of Two Variables (Yüksel, _., Dinlemez, Ü. & Alt_n, 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. & _scan, _.).- On One Boundary-Value Problem with Two Nonlocal Conditions for a Parabolic Equation (Danilkina, O.).- Neighborhoods of Analytic Functions Associated with Fractional Derivative (Alt_ntas, O).- Spectrums of Solvable Pantograph Type Delay Differential Operators for First Order (Ismailov, Z.I. & Ipek, P.).- Non-Commutative Geometry and Application

s to Physical Systems (Zaim, S.).- The (s,t)-Generalized Jacobsthal Matrix Sequences (Uygun, S. & 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 (Tas, E. & Yurdakadim, T.).- Generalized Iterated Fractional Representation Formulae and Inequalities (Anastassiou, G.A.).
1 Bivariate Left Fractional Pseudo-Polynomial Monotone Approximation
1(18)
George A. Anastassiou
2 Bivariate Right Fractional Polynomial Monotone Approximation
19(14)
George A. Anastassiou
3 Uniform Approximation with Rates by Multivariate Generalized Discrete Singular Operators
33(26)
George A. Anastassiou
Merve Kester
4 Summation Process by Max-Product Operators
59(10)
Turkan Yeliz Gokcer
Oktay Duman
5 Fixed Point in a Non-metrizable Space
69(10)
Abdalla Tallafha
Suad A. Alhihi
6 Second Hankel Determinant for New Subclass Defined by a Linear Operator
79(8)
Aisha Ahmed Amer
7 Some Asymptotics for Extremal Polynomials
87(16)
Gokalp Alpan
Alexander Goncharov
Burak Hatinoglu
8 Some Differential Subordinations Using Ruscheweyh Derivative and a Multiplier Transformation
103(22)
Alina Alb Lupas
9 Some Results on the Bivariate Laguerre Polynomials
125(12)
Mehmet Ali Ozarslan
Cemaliye Kurt
10 Inner Product Spaces and Quadratic Functional Equations
137(16)
Choonkil Park
Won-Gil Park
Themistocles M. Rassias
11 Fuzzy Partial Metric Spaces
153(10)
Fariha Jumaa Amer
12 Bounded and Unbounded Fundamental Solutions in MAC Models
163(16)
Igor Neygebauer
13 Schurer Generalization of g-Hybrid Summation Integral Type Operators
179(16)
Ilker Vural
Birol Altin
Ismet Yuksel
14 Approximation by q-Baskakov--Durrmeyer Type Operators of Two Variables
195(16)
Ismet Yuksel
Ulku Dinlemez
Birol Altin
15 Blow Up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions
211(14)
Jamila Kalantarova
Mustafa Polat
16 Functional Inequalities in Fuzzy Normed Spaces
225(22)
Jung Rye Lee
Reza Saadati
Dong Yun Shin
17 Principal Vectors of Matrix-Valued Difference Operators
247(12)
Yelda Aygar
Murat Olgun
18 Some Extensions of Preinvexity for Stochastic Processes
259(12)
Nurgul Okur Bekar
Hande Gunay Akdemir
Imdat Iscan
19 On One Boundary-Value Problem with Two Nonlocal Conditions for a Parabolic Equation
271(18)
Olga Danilkina
20 Neighborhoods of Analytic Functions Associated with Fractional Derivative
289(10)
Osman Altintas
21 Spectrums of Solvable Pantograph Type Delay Differential Operators for First Order
299(14)
Zameddin I. Ismailov
Pembe Ipek
22 Non-commutative Geometry and Applications to Physical Systems
313(12)
Slimane Zaim
23 The (s, t)-Generalized Jacobsthal Matrix Sequences
325(12)
Sukran Uygun
Kemal Uslu
24 Domain Decomposition Approximation Approach for an Elliptic Partial Differential Equation
337(16)
Tahira Nasreen Buttar
Naila Sajid
25 Voronovskaja Type Approximation Theorem for q-Szasz-Schurer Operators
353(10)
Tuba Vedi
Mehmet Ali Ozarslan
26 Approximation to Derivatives of Functions by Linear Operators Acting on Weighted Spaces by Power Series Method
363(10)
Emre Tas
Tugba Yurdakadim
27 Generalized Iterated Fractional Representation Formulae and Inequalities
373
George A. Anastassiou