Comparing weighted densities

Abstract In this paper we study inequalities between weighted densities of sets of natural numbers corresponding to different weight functions. Depending on the asymptotic relation between the weight functions, we give sharp bounds for possible values of one density when the values of another densit...
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Autor*in:	Bukor, József [verfasserIn] Filip, Ferdinánd Šustek, Jan Tóth, János T.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Asymptotic density Logarithmic density Weighted density

Anmerkung:	© The Author(s) 2022

Übergeordnetes Werk:	Enthalten in: Journal of inequalities and applications - Heidelberg : Springer, 2005, 2022(2022), 1 vom: 22. Nov.
Übergeordnetes Werk:	volume:2022 ; year:2022 ; number:1 ; day:22 ; month:11

Links:	Volltext

DOI / URN:	10.1186/s13660-022-02885-y

Katalog-ID:	SPR048693073

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allfields	10.1186/s13660-022-02885-y doi (DE-627)SPR048693073 (SPR)s13660-022-02885-y-e DE-627 ger DE-627 rakwb eng Bukor, József verfasserin aut Comparing weighted densities 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract In this paper we study inequalities between weighted densities of sets of natural numbers corresponding to different weight functions. Depending on the asymptotic relation between the weight functions, we give sharp bounds for possible values of one density when the values of another density are given. In particular, we give a condition for two weight functions to generate equivalent weighted densities. Asymptotic density (dpeaa)DE-He213 Logarithmic density (dpeaa)DE-He213 Weighted density (dpeaa)DE-He213 Filip, Ferdinánd (orcid)0000-0003-1439-4330 aut Šustek, Jan aut Tóth, János T. aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2022(2022), 1 vom: 22. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2022 year:2022 number:1 day:22 month:11 https://dx.doi.org/10.1186/s13660-022-02885-y kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 1 22 11
spelling	10.1186/s13660-022-02885-y doi (DE-627)SPR048693073 (SPR)s13660-022-02885-y-e DE-627 ger DE-627 rakwb eng Bukor, József verfasserin aut Comparing weighted densities 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract In this paper we study inequalities between weighted densities of sets of natural numbers corresponding to different weight functions. Depending on the asymptotic relation between the weight functions, we give sharp bounds for possible values of one density when the values of another density are given. In particular, we give a condition for two weight functions to generate equivalent weighted densities. Asymptotic density (dpeaa)DE-He213 Logarithmic density (dpeaa)DE-He213 Weighted density (dpeaa)DE-He213 Filip, Ferdinánd (orcid)0000-0003-1439-4330 aut Šustek, Jan aut Tóth, János T. aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2022(2022), 1 vom: 22. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2022 year:2022 number:1 day:22 month:11 https://dx.doi.org/10.1186/s13660-022-02885-y kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 1 22 11
allfields_unstemmed	10.1186/s13660-022-02885-y doi (DE-627)SPR048693073 (SPR)s13660-022-02885-y-e DE-627 ger DE-627 rakwb eng Bukor, József verfasserin aut Comparing weighted densities 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract In this paper we study inequalities between weighted densities of sets of natural numbers corresponding to different weight functions. Depending on the asymptotic relation between the weight functions, we give sharp bounds for possible values of one density when the values of another density are given. In particular, we give a condition for two weight functions to generate equivalent weighted densities. Asymptotic density (dpeaa)DE-He213 Logarithmic density (dpeaa)DE-He213 Weighted density (dpeaa)DE-He213 Filip, Ferdinánd (orcid)0000-0003-1439-4330 aut Šustek, Jan aut Tóth, János T. aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2022(2022), 1 vom: 22. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2022 year:2022 number:1 day:22 month:11 https://dx.doi.org/10.1186/s13660-022-02885-y kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 1 22 11
allfieldsGer	10.1186/s13660-022-02885-y doi (DE-627)SPR048693073 (SPR)s13660-022-02885-y-e DE-627 ger DE-627 rakwb eng Bukor, József verfasserin aut Comparing weighted densities 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract In this paper we study inequalities between weighted densities of sets of natural numbers corresponding to different weight functions. Depending on the asymptotic relation between the weight functions, we give sharp bounds for possible values of one density when the values of another density are given. In particular, we give a condition for two weight functions to generate equivalent weighted densities. Asymptotic density (dpeaa)DE-He213 Logarithmic density (dpeaa)DE-He213 Weighted density (dpeaa)DE-He213 Filip, Ferdinánd (orcid)0000-0003-1439-4330 aut Šustek, Jan aut Tóth, János T. aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2022(2022), 1 vom: 22. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2022 year:2022 number:1 day:22 month:11 https://dx.doi.org/10.1186/s13660-022-02885-y kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 1 22 11
allfieldsSound	10.1186/s13660-022-02885-y doi (DE-627)SPR048693073 (SPR)s13660-022-02885-y-e DE-627 ger DE-627 rakwb eng Bukor, József verfasserin aut Comparing weighted densities 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract In this paper we study inequalities between weighted densities of sets of natural numbers corresponding to different weight functions. Depending on the asymptotic relation between the weight functions, we give sharp bounds for possible values of one density when the values of another density are given. In particular, we give a condition for two weight functions to generate equivalent weighted densities. Asymptotic density (dpeaa)DE-He213 Logarithmic density (dpeaa)DE-He213 Weighted density (dpeaa)DE-He213 Filip, Ferdinánd (orcid)0000-0003-1439-4330 aut Šustek, Jan aut Tóth, János T. aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2022(2022), 1 vom: 22. Nov. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2022 year:2022 number:1 day:22 month:11 https://dx.doi.org/10.1186/s13660-022-02885-y kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 1 22 11
language	English
source	Enthalten in Journal of inequalities and applications 2022(2022), 1 vom: 22. Nov. volume:2022 year:2022 number:1 day:22 month:11
sourceStr	Enthalten in Journal of inequalities and applications 2022(2022), 1 vom: 22. Nov. volume:2022 year:2022 number:1 day:22 month:11
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author	Bukor, József
spellingShingle	Bukor, József misc Asymptotic density misc Logarithmic density misc Weighted density Comparing weighted densities
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topic_title	Comparing weighted densities Asymptotic density (dpeaa)DE-He213 Logarithmic density (dpeaa)DE-He213 Weighted density (dpeaa)DE-He213
topic	misc Asymptotic density misc Logarithmic density misc Weighted density
topic_unstemmed	misc Asymptotic density misc Logarithmic density misc Weighted density
topic_browse	misc Asymptotic density misc Logarithmic density misc Weighted density
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	Comparing weighted densities
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title_full	Comparing weighted densities
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author_browse	Bukor, József Filip, Ferdinánd Šustek, Jan Tóth, János T.
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title_sort	comparing weighted densities
title_auth	Comparing weighted densities
abstract	Abstract In this paper we study inequalities between weighted densities of sets of natural numbers corresponding to different weight functions. Depending on the asymptotic relation between the weight functions, we give sharp bounds for possible values of one density when the values of another density are given. In particular, we give a condition for two weight functions to generate equivalent weighted densities. © The Author(s) 2022
abstractGer	Abstract In this paper we study inequalities between weighted densities of sets of natural numbers corresponding to different weight functions. Depending on the asymptotic relation between the weight functions, we give sharp bounds for possible values of one density when the values of another density are given. In particular, we give a condition for two weight functions to generate equivalent weighted densities. © The Author(s) 2022
abstract_unstemmed	Abstract In this paper we study inequalities between weighted densities of sets of natural numbers corresponding to different weight functions. Depending on the asymptotic relation between the weight functions, we give sharp bounds for possible values of one density when the values of another density are given. In particular, we give a condition for two weight functions to generate equivalent weighted densities. © The Author(s) 2022
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title_short	Comparing weighted densities
url	https://dx.doi.org/10.1186/s13660-022-02885-y
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author2	Filip, Ferdinánd Šustek, Jan Tóth, János T.
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