The STUDIA UNIVERSITATIS BABE┼×-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 / 2021  
         
  Article:   DIFFERENT TYPE PARAMETERIZED INEQUALITIES VIA GENERALIZED INTEGRAL OPERATORS WITH APPLICATIONS.

Authors:  ARTION KASHURI, ROZANA LIKO.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath. 2021.3.02

Published Online: 2021-09-30
Published Print: 2021-09-30
pp. 423-440

VIEW PDF


FULL PDF

The authors have proved an identity for a generalized integral operator via differentiable function with parameters. By applying the established identity, the generalized trapezium, midpoint and Simpson type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in recent past decades. Various special cases have been identified. Some applications of presented results to special means and new error estimates for the trapezium and midpoint quadrature formula have been analyzed. The ideas and techniques of this paper may stimulate further research in the field of integral inequalities.

Mathematics Subject Classification (2010): 26A51, 26A33, 26D07, 26D10, 26D15.

Keywords: Trapezium inequality, Simpson inequality, preinvexity, general fractional integrals.
 
         
     
         
         
      Back to previous page