dc.contributor.author
Tokmagambetov, Niyaz
dc.date.accessioned
2025-04-09T06:50:21Z
dc.date.available
2025-04-09T06:50:21Z
dc.date.issued
2025-03-26
dc.identifier.uri
http://hdl.handle.net/2072/483459
dc.description.abstract
In this paper, we study Pitt-type results for the Fourier transform. A new class of general monotone functions is introduced as a subclass of BV functions, and basic properties are established. It is shown that GM(R; τ, κ) is a natural generalization of the classical general monotone functions first introduced by Liflyand and Tikhonov in 2008. Pitt’s inequality is proven for functions from this class for the range of weight parameters extending known results.
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dc.description.sponsorship
Niyaz Tokmagambetov is supported by the Beatriu de Pin´os programme and by AGAUR (Generalitat de Catalunya) grant 2021 SGR 00087.
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dc.format.extent
22 p.
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dc.rights
Attribution-NonCommercial-NoDerivatives 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Pitt’s inequality
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dc.subject.other
Bounded variation
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dc.subject.other
General monotone function
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dc.title
Pitt-Type Inequalities For General Monotone Functions
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dc.type
info:eu-repo/semantics/article
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dc.description.version
ca
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
