Statistical order convergence in Riesz spaces
Abstract In this paper, we introduce the concepts of statistical monotone convergence and statistical order convergence in a Riesz space, and establish some basic facts. We show that the statistical order convergence and the statistical convergence in norm need not be equivalent in a normed Riesz sp...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Şençi̇men, Celaleddi̇n [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Schlagwörter: |
statistical monotone convergence |
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| Anmerkung: |
© © Versita Warsaw and Springer-Verlag Wien 2012 |
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| Übergeordnetes Werk: |
Enthalten in: Mathematica Slovaca - Warsaw : Versita, 2007, 62(2012), 2 vom: 29. Feb., Seite 257-270 |
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| Übergeordnetes Werk: |
volume:62 ; year:2012 ; number:2 ; day:29 ; month:02 ; pages:257-270 |
| Links: |
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| DOI / URN: |
10.2478/s12175-012-0007-z |
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| Katalog-ID: |
SPR025427997 |
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10.2478/s12175-012-0007-z doi (DE-627)SPR025427997 (SPR)s12175-012-0007-z-e DE-627 ger DE-627 rakwb eng Şençi̇men, Celaleddi̇n verfasserin aut Statistical order convergence in Riesz spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2012 Abstract In this paper, we introduce the concepts of statistical monotone convergence and statistical order convergence in a Riesz space, and establish some basic facts. We show that the statistical order convergence and the statistical convergence in norm need not be equivalent in a normed Riesz space. Finally, we introduce the statistical order boundedness of a sequence in a Riesz space. Riesz space (dpeaa)DE-He213 statistical monotone convergence (dpeaa)DE-He213 statistical order convergence (dpeaa)DE-He213 statistical convergence in norm (dpeaa)DE-He213 statistical order boundedness (dpeaa)DE-He213 Pehli̇van, Serpi̇l aut Enthalten in Mathematica Slovaca Warsaw : Versita, 2007 62(2012), 2 vom: 29. Feb., Seite 257-270 (DE-627)548127344 (DE-600)2393408-6 1337-2211 nnns volume:62 year:2012 number:2 day:29 month:02 pages:257-270 https://dx.doi.org/10.2478/s12175-012-0007-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4277 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 62 2012 2 29 02 257-270 |
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10.2478/s12175-012-0007-z doi (DE-627)SPR025427997 (SPR)s12175-012-0007-z-e DE-627 ger DE-627 rakwb eng Şençi̇men, Celaleddi̇n verfasserin aut Statistical order convergence in Riesz spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2012 Abstract In this paper, we introduce the concepts of statistical monotone convergence and statistical order convergence in a Riesz space, and establish some basic facts. We show that the statistical order convergence and the statistical convergence in norm need not be equivalent in a normed Riesz space. Finally, we introduce the statistical order boundedness of a sequence in a Riesz space. Riesz space (dpeaa)DE-He213 statistical monotone convergence (dpeaa)DE-He213 statistical order convergence (dpeaa)DE-He213 statistical convergence in norm (dpeaa)DE-He213 statistical order boundedness (dpeaa)DE-He213 Pehli̇van, Serpi̇l aut Enthalten in Mathematica Slovaca Warsaw : Versita, 2007 62(2012), 2 vom: 29. Feb., Seite 257-270 (DE-627)548127344 (DE-600)2393408-6 1337-2211 nnns volume:62 year:2012 number:2 day:29 month:02 pages:257-270 https://dx.doi.org/10.2478/s12175-012-0007-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4277 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 62 2012 2 29 02 257-270 |
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10.2478/s12175-012-0007-z doi (DE-627)SPR025427997 (SPR)s12175-012-0007-z-e DE-627 ger DE-627 rakwb eng Şençi̇men, Celaleddi̇n verfasserin aut Statistical order convergence in Riesz spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2012 Abstract In this paper, we introduce the concepts of statistical monotone convergence and statistical order convergence in a Riesz space, and establish some basic facts. We show that the statistical order convergence and the statistical convergence in norm need not be equivalent in a normed Riesz space. Finally, we introduce the statistical order boundedness of a sequence in a Riesz space. Riesz space (dpeaa)DE-He213 statistical monotone convergence (dpeaa)DE-He213 statistical order convergence (dpeaa)DE-He213 statistical convergence in norm (dpeaa)DE-He213 statistical order boundedness (dpeaa)DE-He213 Pehli̇van, Serpi̇l aut Enthalten in Mathematica Slovaca Warsaw : Versita, 2007 62(2012), 2 vom: 29. Feb., Seite 257-270 (DE-627)548127344 (DE-600)2393408-6 1337-2211 nnns volume:62 year:2012 number:2 day:29 month:02 pages:257-270 https://dx.doi.org/10.2478/s12175-012-0007-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4277 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 62 2012 2 29 02 257-270 |
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10.2478/s12175-012-0007-z doi (DE-627)SPR025427997 (SPR)s12175-012-0007-z-e DE-627 ger DE-627 rakwb eng Şençi̇men, Celaleddi̇n verfasserin aut Statistical order convergence in Riesz spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2012 Abstract In this paper, we introduce the concepts of statistical monotone convergence and statistical order convergence in a Riesz space, and establish some basic facts. We show that the statistical order convergence and the statistical convergence in norm need not be equivalent in a normed Riesz space. Finally, we introduce the statistical order boundedness of a sequence in a Riesz space. Riesz space (dpeaa)DE-He213 statistical monotone convergence (dpeaa)DE-He213 statistical order convergence (dpeaa)DE-He213 statistical convergence in norm (dpeaa)DE-He213 statistical order boundedness (dpeaa)DE-He213 Pehli̇van, Serpi̇l aut Enthalten in Mathematica Slovaca Warsaw : Versita, 2007 62(2012), 2 vom: 29. Feb., Seite 257-270 (DE-627)548127344 (DE-600)2393408-6 1337-2211 nnns volume:62 year:2012 number:2 day:29 month:02 pages:257-270 https://dx.doi.org/10.2478/s12175-012-0007-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4277 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 62 2012 2 29 02 257-270 |
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10.2478/s12175-012-0007-z doi (DE-627)SPR025427997 (SPR)s12175-012-0007-z-e DE-627 ger DE-627 rakwb eng Şençi̇men, Celaleddi̇n verfasserin aut Statistical order convergence in Riesz spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2012 Abstract In this paper, we introduce the concepts of statistical monotone convergence and statistical order convergence in a Riesz space, and establish some basic facts. We show that the statistical order convergence and the statistical convergence in norm need not be equivalent in a normed Riesz space. Finally, we introduce the statistical order boundedness of a sequence in a Riesz space. Riesz space (dpeaa)DE-He213 statistical monotone convergence (dpeaa)DE-He213 statistical order convergence (dpeaa)DE-He213 statistical convergence in norm (dpeaa)DE-He213 statistical order boundedness (dpeaa)DE-He213 Pehli̇van, Serpi̇l aut Enthalten in Mathematica Slovaca Warsaw : Versita, 2007 62(2012), 2 vom: 29. Feb., Seite 257-270 (DE-627)548127344 (DE-600)2393408-6 1337-2211 nnns volume:62 year:2012 number:2 day:29 month:02 pages:257-270 https://dx.doi.org/10.2478/s12175-012-0007-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4277 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 62 2012 2 29 02 257-270 |
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Enthalten in Mathematica Slovaca 62(2012), 2 vom: 29. Feb., Seite 257-270 volume:62 year:2012 number:2 day:29 month:02 pages:257-270 |
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Abstract In this paper, we introduce the concepts of statistical monotone convergence and statistical order convergence in a Riesz space, and establish some basic facts. We show that the statistical order convergence and the statistical convergence in norm need not be equivalent in a normed Riesz space. Finally, we introduce the statistical order boundedness of a sequence in a Riesz space. © © Versita Warsaw and Springer-Verlag Wien 2012 |
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Abstract In this paper, we introduce the concepts of statistical monotone convergence and statistical order convergence in a Riesz space, and establish some basic facts. We show that the statistical order convergence and the statistical convergence in norm need not be equivalent in a normed Riesz space. Finally, we introduce the statistical order boundedness of a sequence in a Riesz space. © © Versita Warsaw and Springer-Verlag Wien 2012 |
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Abstract In this paper, we introduce the concepts of statistical monotone convergence and statistical order convergence in a Riesz space, and establish some basic facts. We show that the statistical order convergence and the statistical convergence in norm need not be equivalent in a normed Riesz space. Finally, we introduce the statistical order boundedness of a sequence in a Riesz space. © © Versita Warsaw and Springer-Verlag Wien 2012 |
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| score |
7.399349 |