Estimates of entropy for multiplier operators of systems of orthonormal functions

Milaré, J.; Kushpel, A.K.; Tozoni, S.A.

dc.contributor.author	Milaré, J.
dc.contributor.author	Kushpel, A.K.
dc.contributor.author	Tozoni, S.A.
dc.date.accessioned	2023-12-07T12:31:01Z
dc.date.available	2023-12-07T12:31:01Z
dc.date.issued	2023-01
dc.identifier.citation	Milaré, J.; Kushpel, A.K.; Tozoni, S.A. (2023). "Estimates of entropy for multiplier operators of systems of orthonormal functions", Journal of Approximation Theory, Vol.285.	tr_TR
dc.identifier.issn	00219045
dc.identifier.uri	http://hdl.handle.net/20.500.12416/6765
dc.description.abstract	We obtain upper and lower estimates for ɛ-entropy and entropy numbers of multiplier operators of systems of orthonormal functions bounded from Lp to Lq. Upper estimates in our study require that a Marcinkiewicz-type multiplier theorem is available for the system. As application we obtain estimates for ɛ-entropy and entropy numbers of the multiplier operators associated with the sequences (k−γlnk−ξ)k=2∞ and (e−γk)k=0∞ where γ>0, ξ≥0 and 0[removed]	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.1016/j.jat.2022.105837	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.subject	Entropy	tr_TR
dc.subject	Fourier Series	tr_TR
dc.subject	Haar Series	tr_TR
dc.subject	Multiplier Operators	tr_TR
dc.subject	Vilenkin Series	tr_TR
dc.subject	Walsh Series	tr_TR
dc.title	Estimates of entropy for multiplier operators of systems of orthonormal functions	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Journal of Approximation Theory	tr_TR
dc.contributor.authorID	279144	tr_TR
dc.identifier.volume	285	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü	tr_TR