The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary

The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.

  
       
         
    STUDIA MATHEMATICA - Issue no. 3 / 2014  
         
  Article:   INVERSE THEOREM FOR THE ITERATES OF MODIFIED BERNSTEIN TYPE POLYNOMIALS.

Authors:  T.A.K. SINHA, P.N. AGRAWAL. 		 
       
         
  Abstract:   Gupta and Maheshwari [12] introduced a new sequence of Durrmeyer type linear positive operators Pn to approximate pth Lebesgue integrable functions on [0; 1]. It is observed that these operators are saturated with O(n-1). In order to improve this slow rate of convergence, following Agrawal et al  [2], we [3] applied the technique of an iterative combination to the above operators Pn and estimated the error in the Lp- approximation in terms of the higher order integral modulus of smoothness using some properties of the Steklov mean. The present paper is in continuation of this work. Here we have discussed the corresponding inverse result for the above iterative combination Tn,k of the operators Pn:

Mathematics Subject Classi fication (2010): 41A25, 41A27, 41A36.

Keywords: Linear positive operators, iterative combination, integral modulus of smoothness, Steklov mean, inverse theorem.
  
         
     
         
         
      Back to previous page