Generalizations of Some Hardy-Littlewood-Pólya Type Inequalities and Related Results

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-Pólya type inequalities. In addition, we use the Čebyšev functional and the Grüss 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. © 2021, University of Nis. All rights reserved.

Authors
Khalid S.1 , Pečarić J. 2
Journal
Filomat
Publisher
University of Nis
Number of issue
8
Language
English
Pages
2811-2826
Status
Published
Link
External link
DOI
10.2298/FIL2108811K
Volume
35
Year
2021
Organizations
  • 1 Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan
  • 2 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
Fink’s identity; Grüss and Ostrowski type inequalities; Hardy-Littlewood-Pólya inequality; Non-increasing sequence in weighted mean; R-convex function; Shannon entropy; Čebyšev functional
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/84545/
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