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Some new inequalities involving the Hardy operator
Author(s) -
Nikolova Ludmila,
Persson LarsErik,
Samko Natasha
Publication year - 2020
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201900080
Subject(s) - mathematics , banach space , inequality , generalization , pure mathematics , operator (biology) , finite rank operator , pseudo monotone operator , algebra over a field , mathematical analysis , operator space , biochemistry , chemistry , repressor , transcription factor , gene
In this paper we derive some new inequalities involving the Hardy operator, using some estimates of the Jensen functional, continuous form generalization of the Bellman inequality and a Banach space variant of it. Some results are generalized to the case of Banach lattices on ( 0 , b ] , 0 < b ≤ ∞ .