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Popoviciu type inequalities for n-convex functions via extension of Montgomery identity

Asif R. Khan

Asif R. Khan

Department of Mathematical Sciences, Faculty of Science, University of Karachi, University Road,Karachi, Pakistan
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Khan, Asif R.
, 
Josip Pečarić

Josip Pečarić

Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28A, 10000Zagreb, Croatia
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Pečarić, Josip
 and 
Marjan Praljak

Marjan Praljak

Faculty of Food Technology and Biotechnology, University of Zagreb, Pierottijeva 6,Zagreb, Croatia
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Praljak, Marjan
  
Sep 21, 2017
Popoviciu type inequalities for n-convex functions via extension of Montgomery identity's Cover Image
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Published Online: Sep 21, 2017
Page range: 161 - 188
Received: Sep 09, 2015
Accepted: Feb 12, 2016
DOI: https://doi.org/10.1515/auom-2016-0053
Keywords
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski-type bounds for the integral remainders of identities associated with the obtained inequalities.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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