Lah–Ribarič type inequalities for (h, g; m)-convex functions

Recently introduced new class of (h, g; m)-convex functions unifies a certain range of convexity, thus allowing the generalizations of know results. In this paper we prove Lah–Ribarič type inequalities for (h, g; m)-convex functions from which we obtain inequalities of Hermite–Hadamard, Fejér, Giaccardi, Popoviciu and Petrović. © 2021, The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid.

Authors
Andrić M.1 , Pečarić J. 2
Publisher
Springer-Verlag Italia s.r.l.
Number of issue
1
Language
English
Status
Published
Number
39
Volume
116
Year
2022
Organizations
  • 1 Faculty of Civil Engineering, Architecture and Geodesy, University of Split, Matice hrvatske 15, Split, 21000, Croatia
  • 2 RUDN University, 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
Convex function; Giaccardi inequality; Lah–Ribarič inequality
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/84359/
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