ON THE PRE-JENSEN-GRUSS INEQUALITY

Several pre-Jensen-Gruss inequalities for functions of n real variables are proved. The obtained inequalities are refinements of the Jensen-Gruss inequalities proved by Budimir and Pecaric.

Authors
Bakula M.K. 1 , Pecaric J. 2
Journal
Mathematical Inequalities and Applications
Publisher
Element D.O.O.
Issue number
4
Language
English
Pages
1529-1543
State
Published
DOI
10.7153/MIA-2020-23-109
Volume
23
Year
2020
Organizations
  • 1 Univ Split, Fac Sci, Rudera Boskovica 33, Split 21000, Croatia
  • 2 RUDN Univ, Miklukho Maklaya Str 6, Moscow 117198, Russia
Keywords
Jensen inequality; Gruss inequality; Lipschitz condition; alpha-Holder condition
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