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Orthogonal polynomials and expansions for a family of weight functions in two variables
Orthogonal polynomials orthogonal expansions Jacobi polynomials
2011/2/25
Orthogonal polynomials for a family of weight functions on [1; 1]2,W ; ; (x; y) = jx + yj2 +1jx yj2 +1(1 x2) (1 y2) ; are studied and shown to be related to ...
Entire functions for which the escaping set is a spider's web
Entire functions escaping set spider's web
2011/1/19
We construct several new classes of transcendental entire func-tions, f, such that both the escaping set, I(f), and the fast escaping set,A(f), have a structure known as a spider’s web. We show that s...
Rate of Convergence of Durrmeyer Type Baskakov-Bezier Operators for Locally Bounded Functions
Locally Bounded Functions Rate of Convergence Modulus of Variation
2010/2/26
In the present paper, we introduce the Durrmeyer variant of Baskakov-Bezier operators Bn,a (f,x), which is the modified form of Baskakov-Beta operators. Here we obtain an estimate on the rate of conve...