Open AccessGeneralizations of some Hardy-Littlewood-Pólya type inequalities and related results
Author(s) -
Sadia Khalid,
Josip Pečarić
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2108811k
Subject(s) - mathematics , remainder , inequality , type (biology) , identity (music) , pure mathematics , regular polygon , convex function , mathematical analysis , arithmetic , geometry , ecology , physics , acoustics , biology
In this paper, we use an identity of Fink and present some interesting identities and inequalities for real valued functions and r-convex functions respectively. We also obtain generalizations of some Hardy-Littlewood-P?lya type inequalities. In addition, we use the Cebysev functional and the Gr?ss type inequalities and find the bounds for the remainder in the obtained identities. Finally, we present an interesting result related to the Ostrowski type inequalities.