Some New Fourier and Jackson–Nikol’skii Type Inequalities in
Unbounded Orthonormal Systems

dc.contributor.author	Singh, Harpal
dc.contributor.author	Persson, Lars-Erik
dc.contributor.author	Akishev, Gabdolla
dc.date.accessioned	2022-03-08T11:59:10Z
dc.date.available	2022-03-08T11:59:10Z
dc.date.issued	2021-09-16
dc.description.abstract	We consider the generalized Lorentz space L_ψ,q defined via a continuous and concave function ψ and the Fourier series of a function with respect to an unbounded orthonormal system. Some new Fourier and Jackson-Nikol’skii type inequalities in this frame are stated, proved and discussed. In particular, the derived results generalize and unify several well-known results but also some new applications are pointed out.	en_US
dc.identifier.citation	Singh H, Persson LE, Akishev G. Some New Fourier and Jackson–Nikol’skii Type Inequalities in Unbounded Orthonormal Systems. Constructive Mathematical Analysis. 2021;4(3):291-304	en_US
dc.identifier.cristinID	FRIDAID 2007548
dc.identifier.doi	https://doi.org/10.33205/cma.910173
dc.identifier.issn	2651-2939
dc.identifier.uri	https://hdl.handle.net/10037/24325
dc.language.iso	eng	en_US
dc.publisher	Constructive Mathematical Analysis	en_US
dc.relation.journal	Constructive Mathematical Analysis
dc.rights.accessRights	openAccess	en_US
dc.rights.holder	Copyright 2021 The Author(s)	en_US
dc.title	Some New Fourier and Jackson–Nikol’skii Type Inequalities in Unbounded Orthonormal Systems	en_US
dc.type.version	publishedVersion	en_US
dc.type	Journal article	en_US
dc.type	Tidsskriftartikkel	en_US
dc.type	Peer reviewed	en_US