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    STUDIA MATHEMATICA - Issue no. 1 / 2024  
         
  Article:   POPOVICIU TYPE INEQUALITIES FOR N-CONVEX FUNCTIONS VIA EXTENSION OF WEIGHTED MONTGOMERY IDENTITY.

Authors:  ASIF R. KHAN, HIRA NABI, JOSIP PEČARIĆ.
 
       
         
  Abstract:   DOI: 10.24193/subbmath.2024.1.02

Received 26 September 2021; Accepted 13 May 2022.. Published Online: 2024-03-20
Published Print: 2024-03-30
pp. 15-48

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In this article, we derive the Popoviciu-type inequalities by using the weighted version of the extension of Montgomery''s identity and Green functions. By considering the n-convex function, we prove some identities and related in-equalities involving sums.

Mathematics Subject Classification (2010): 26A51, 26D15, 26D20.
Keywords: n-convex functions, n--convex functions at a point, Weighted Montgomery identity, Green''s function, Ostrowski type inequalities.
 
         
     
         
         
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