دانلود کتاب Approximation by Complex Bernstein and Convolution Type Operators

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Preface......Page 8
Contents......Page 12
1.0 Auxiliary Results in Complex Analysis......Page 14
1.1 Bernstein Polynomials......Page 19
1.2 Iterates of Bernstein Polynomials......Page 39
1.3 Generalized Voronovskaja Theorems for Bernstein Polynomials......Page 48
1.4 Butzer\'s Linear Combination of Bernstein Polynomials......Page 55
1.5 q-Bernstein Polynomials......Page 63
1.6 Bernstein-Stancu Polynomials......Page 80
1.7 Bernstein-Kantorovich Type Polynomials......Page 109
1.8 Favard-Szasz-Mirakjan Operators......Page 116
1.9 Baskakov Operators......Page 137
1.10 Balazs-Szabados Operators......Page 152
1.11 Bibliographical Notes and Open Problems......Page 162
2.1 Introduction......Page 168
2.2 Bernstein Polynomials......Page 169
2.3 Favard-Szasz-Mirakjan Operators......Page 179
2.4 Baskakov Operators......Page 185
2.5 Bibliographical Notes and Open Problems......Page 192
3.1 Linear Polynomial Convolutions......Page 194
3.2 Linear Non-Polynomial Convolutions......Page 217
3.3 Nonlinear Complex Convolutions......Page 299
3.4 Bibliographical Notes and Open Problems......Page 307
4.1 Bernstein Polynomials of Quaternion Variable......Page 308
4.2 Approximation of Vector-Valued Functions......Page 312
4.3 Strong Approximation by Complex Taylor Series......Page 334
4.4 Bibliographical Notes and Open Problems......Page 337
Bibliography......Page 340
Index......Page 350