Mutual bounds for Jensen-type operator inequalities related to higher order convexity

The main objective of this article is to establish mutual bounds for the Jensen operator inequality related to convex functions of higher order. First we give several mutual bounds for the operator version of the Lah-Ribarič inequality which hold for a class of n-convex functions. By virtue of the established estimates, we then derive several mutual bounds for the Jensen operator inequality which are also related to n-convex functions. © 2019, Springer Nature Switzerland AG.

Authors
Krnić M.1 , Mikić R.2 , Pečarić J. 3
Publisher
Birkhauser Verlag Basel
Language
English
Status
Published
Year
2019
Organizations
  • 1 Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, Zagreb, 10000, Croatia
  • 2 Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, Zagreb, 10000, Croatia
  • 3 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
Keywords
Jensen operator inequality; Lah-Ribarič operator inequality; Mutual bounds; n-Convexity
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