scholarly journals Direct and converse results for the weighted rational approximation of functions with inner singularities

2004 ◽  
Vol 126 (1) ◽  
pp. 16-35 ◽  
Author(s):  
B. Della Vecchia
Keyword(s):  
Rational Approximation ◽  
Approximation Of Functions ◽  
Direct And Converse Results ◽  
Converse Results

Direct and converse results for q-Bernstein operators

2009 ◽  
Vol 52 (2) ◽  
pp. 339-349 ◽  
Author(s):  
Zoltán Finta
Keyword(s):  
Bernstein Polynomials ◽  
Modulus Of Smoothness ◽  
Second Order ◽  
Bernstein Operators ◽  
Approximation Theorems ◽  
Converse Theorems ◽  
Direct And Converse Results ◽  
Direct Approximation ◽  
Converse Results

AbstractDirect and converse theorems are established for the q-Bernstein polynomials introduced by G. M. Phillips. The direct approximation theorems are given for the second-order Ditzian–Totik modulus of smoothness. The converse results are theorems of Berens–Lorentz type.

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