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    STUDIA MATHEMATICA - Issue no. 2 / 2015  
         
  Article:   WEIGHTED OSTROWSKI-GRÜSS TYPE INEQUALITIES.

Authors:  HEINER GONSKA.
 
       
         
  Abstract:  

Several inequalities of Ostrowski-Grüss-type availabe in the literature are generalized considering the weighted case of them. Involving the least concave majorant of the modulus of continuity we provide upper bounds of our inequalities.

Mathematics Subject Classification (2010): 26D15, 26A15, 39B62.

Keywords: Ostrowki-Grüss type inequalities, modulus of smoothness, least concave majorant of modulus of continuity.

 
         
     
         
         
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