JIPAM

Direct Approximation Theorems for Discrete Type Operators  
 
  Authors: Zoltán Finta,  
  Keywords: Direct approximation theorem, $K-$functional, Ditzian-Totik modulus of smoothness.  
  Date Received: 16/07/06  
  Date Accepted: 10/10/06  
  Subject Codes:

41A36, 41A25.

  
  Editors: Zeev Ditzian,  
 
  Abstract:

In the present paper we prove direct approximation theorems for discrete type operators

$displaystyle (L_{n}f)( x ) = displaystyle sum_{k = 0}^{infty} u_{n,k}( x ) lambda_{n,k}( f ),$
$ f in C[ 0 , infty ),$ $ x in [ 0 , infty )$ using a modified $ K-$functional. As applications we give direct theorems for Baskakov type operators, Szász-Mirakjan type operators and Lupas operator.;


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