Axioms
(Apr 2023)
Generalizations of Hardy-Type Inequalities by Montgomery Identity and New Green Functions
Kristina Krulić Himmelreich,
Josip Pečarić,
Dora Pokaz,
Marjan Praljak
Affiliations
Kristina Krulić Himmelreich
Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovića 28a, 10000 Zagreb, Croatia
Josip Pečarić
Croatian Academy of Sciences and Arts, Trg Nikole Šubića Zrinskog 11, 10000 Zagreb, Croatia
Dora Pokaz
Faculty of Civil Engineering, University of Zagreb, Fra Andrije Kačića Miošića 26, 10000 Zagreb, Croatia
Marjan Praljak
Faculty of Food Technology and Biotechnology, University of Zagreb, Pierrottijeva 6, 10000 Zagreb, Croatia
DOI
https://doi.org/10.3390/axioms12050434
Journal volume & issue
Vol. 12,
no. 5
Abstract
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In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived.
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