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. 4 / 2023  
         
  Article:   TRIANGULAR IDEAL RELATIVE CONVERGENCE ON MODULAR SPACES AND KOROVKIN THEOREMS.

Authors:  SELIN ÇINAR, SEVDA YILDIZ.
 
       
         
  Abstract:   DOI: 10.24193/subbmath.2023.4.17

Received 23 February 2021; Accepted 22 April 2021. Published Online: 2023-12-11
Published Print: 2023-12-30
pp. 907-924

VIEW PDF


FULL PDF

In this paper, we introduce the concept of triangular ideal relative convergence for double sequences of functions defined on a modular space. Based upon this new convergence method, we prove Korovkin theorems. Then, we construct an example such that our new approximation results work. Finally, we discuss the reduced results which are obtained by special choices.

Mathematics Subject Classification (2010): 40A35, 41A36, 46E30.
Keywords: Positive linear operators; the double sequences; triangular ideal relative modular convergence; Korovkin theorem
 
         
     
         
         
      Back to previous page