HIGHER SUMMABILITY THEOREMS FROM THE WEIGHTED REVERSE DISCRETE INEQUALITIES

Motivated by higher integrability theorems due to Muckenhoupt and Gehring, in this paper we establish some related higher summability results for non-increasing sequences, verifying the weighted reverse discrete inequalities. Our main result will be proved by employing the weighted Hardy-type inequa...

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Bibliographic Details
Published in:Applicable analysis and discrete mathematics 2019-10, Vol.13 (2), p.423-439
Main Authors: Saker, Samir H., Krnić, Mario, Pečarić, Josip
Format: Article
Language:English
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Summary:Motivated by higher integrability theorems due to Muckenhoupt and Gehring, in this paper we establish some related higher summability results for non-increasing sequences, verifying the weighted reverse discrete inequalities. Our main result will be proved by employing the weighted Hardy-type inequality designed and proved for this purpose.
ISSN:1452-8630
2406-100X
DOI:10.2298/AADM180727013S