Regularity of fractal interpolation functions via wavelet transform
In the present paper, the regularity of a Fractal Interpolation Function (FIF) is studied using wavelet transform. The wavelet transform of FIF is obtained through two different methods. The first method uses the functional equation which FIF satisfies. By this method, it is shown that the FIF belon...
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Prasad, Srijanani Anurag [verfasserIn] |
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Walter de Gruyter GmbH ; 2013 |
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14 |
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Walter de Gruyter Online Zeitschriften |
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Enthalten in: Advances in pure and applied mathematics= Avancées en mathématiques pures et appliquées - London : ISTE OpenScience, 2010, 4(2013), 2 vom: 05. Juni, Seite 189-202 |
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volume:4 ; year:2013 ; number:2 ; day:05 ; month:06 ; pages:189-202 ; extent:14 |
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10.1515/apam-2013-0003 |
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NLEJ246430028 |
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| 520 | |a In the present paper, the regularity of a Fractal Interpolation Function (FIF) is studied using wavelet transform. The wavelet transform of FIF is obtained through two different methods. The first method uses the functional equation which FIF satisfies. By this method, it is shown that the FIF belongs to Lipschitz class of order , , under certain conditions on free parameters used in the construction of FIF. The second method is via Fourier transform of FIF. This approach gives the regularity of the FIF under certain conditions on free parameters. The Fourier transform of a FIF is also derived in this paper to facilitate the approach of wavelet transform of a FIF via Fourier transform. | ||
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10.1515/apam-2013-0003 doi artikel_Grundlieferung.pp (DE-627)NLEJ246430028 DE-627 ger DE-627 rakwb Prasad, Srijanani Anurag verfasserin aut Regularity of fractal interpolation functions via wavelet transform Walter de Gruyter GmbH 2013 14 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In the present paper, the regularity of a Fractal Interpolation Function (FIF) is studied using wavelet transform. The wavelet transform of FIF is obtained through two different methods. The first method uses the functional equation which FIF satisfies. By this method, it is shown that the FIF belongs to Lipschitz class of order , , under certain conditions on free parameters used in the construction of FIF. The second method is via Fourier transform of FIF. This approach gives the regularity of the FIF under certain conditions on free parameters. The Fourier transform of a FIF is also derived in this paper to facilitate the approach of wavelet transform of a FIF via Fourier transform. Walter de Gruyter Online Zeitschriften Fractal interpolation function wavelet transform Fourier transform functional equation Enthalten in Advances in pure and applied mathematics= Avancées en mathématiques pures et appliquées London : ISTE OpenScience, 2010 4(2013), 2 vom: 05. Juni, Seite 189-202 (DE-627)NLEJ248235028 (DE-600)2549738-8 1869-6090 nnns volume:4 year:2013 number:2 day:05 month:06 pages:189-202 extent:14 https://doi.org/10.1515/apam-2013-0003 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 4 2013 2 05 06 189-202 14 |
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10.1515/apam-2013-0003 doi artikel_Grundlieferung.pp (DE-627)NLEJ246430028 DE-627 ger DE-627 rakwb Prasad, Srijanani Anurag verfasserin aut Regularity of fractal interpolation functions via wavelet transform Walter de Gruyter GmbH 2013 14 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In the present paper, the regularity of a Fractal Interpolation Function (FIF) is studied using wavelet transform. The wavelet transform of FIF is obtained through two different methods. The first method uses the functional equation which FIF satisfies. By this method, it is shown that the FIF belongs to Lipschitz class of order , , under certain conditions on free parameters used in the construction of FIF. The second method is via Fourier transform of FIF. This approach gives the regularity of the FIF under certain conditions on free parameters. The Fourier transform of a FIF is also derived in this paper to facilitate the approach of wavelet transform of a FIF via Fourier transform. Walter de Gruyter Online Zeitschriften Fractal interpolation function wavelet transform Fourier transform functional equation Enthalten in Advances in pure and applied mathematics= Avancées en mathématiques pures et appliquées London : ISTE OpenScience, 2010 4(2013), 2 vom: 05. Juni, Seite 189-202 (DE-627)NLEJ248235028 (DE-600)2549738-8 1869-6090 nnns volume:4 year:2013 number:2 day:05 month:06 pages:189-202 extent:14 https://doi.org/10.1515/apam-2013-0003 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 4 2013 2 05 06 189-202 14 |
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10.1515/apam-2013-0003 doi artikel_Grundlieferung.pp (DE-627)NLEJ246430028 DE-627 ger DE-627 rakwb Prasad, Srijanani Anurag verfasserin aut Regularity of fractal interpolation functions via wavelet transform Walter de Gruyter GmbH 2013 14 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In the present paper, the regularity of a Fractal Interpolation Function (FIF) is studied using wavelet transform. The wavelet transform of FIF is obtained through two different methods. The first method uses the functional equation which FIF satisfies. By this method, it is shown that the FIF belongs to Lipschitz class of order , , under certain conditions on free parameters used in the construction of FIF. The second method is via Fourier transform of FIF. This approach gives the regularity of the FIF under certain conditions on free parameters. The Fourier transform of a FIF is also derived in this paper to facilitate the approach of wavelet transform of a FIF via Fourier transform. Walter de Gruyter Online Zeitschriften Fractal interpolation function wavelet transform Fourier transform functional equation Enthalten in Advances in pure and applied mathematics= Avancées en mathématiques pures et appliquées London : ISTE OpenScience, 2010 4(2013), 2 vom: 05. Juni, Seite 189-202 (DE-627)NLEJ248235028 (DE-600)2549738-8 1869-6090 nnns volume:4 year:2013 number:2 day:05 month:06 pages:189-202 extent:14 https://doi.org/10.1515/apam-2013-0003 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 4 2013 2 05 06 189-202 14 |
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10.1515/apam-2013-0003 doi artikel_Grundlieferung.pp (DE-627)NLEJ246430028 DE-627 ger DE-627 rakwb Prasad, Srijanani Anurag verfasserin aut Regularity of fractal interpolation functions via wavelet transform Walter de Gruyter GmbH 2013 14 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In the present paper, the regularity of a Fractal Interpolation Function (FIF) is studied using wavelet transform. The wavelet transform of FIF is obtained through two different methods. The first method uses the functional equation which FIF satisfies. By this method, it is shown that the FIF belongs to Lipschitz class of order , , under certain conditions on free parameters used in the construction of FIF. The second method is via Fourier transform of FIF. This approach gives the regularity of the FIF under certain conditions on free parameters. The Fourier transform of a FIF is also derived in this paper to facilitate the approach of wavelet transform of a FIF via Fourier transform. Walter de Gruyter Online Zeitschriften Fractal interpolation function wavelet transform Fourier transform functional equation Enthalten in Advances in pure and applied mathematics= Avancées en mathématiques pures et appliquées London : ISTE OpenScience, 2010 4(2013), 2 vom: 05. Juni, Seite 189-202 (DE-627)NLEJ248235028 (DE-600)2549738-8 1869-6090 nnns volume:4 year:2013 number:2 day:05 month:06 pages:189-202 extent:14 https://doi.org/10.1515/apam-2013-0003 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 4 2013 2 05 06 189-202 14 |
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10.1515/apam-2013-0003 doi artikel_Grundlieferung.pp (DE-627)NLEJ246430028 DE-627 ger DE-627 rakwb Prasad, Srijanani Anurag verfasserin aut Regularity of fractal interpolation functions via wavelet transform Walter de Gruyter GmbH 2013 14 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In the present paper, the regularity of a Fractal Interpolation Function (FIF) is studied using wavelet transform. The wavelet transform of FIF is obtained through two different methods. The first method uses the functional equation which FIF satisfies. By this method, it is shown that the FIF belongs to Lipschitz class of order , , under certain conditions on free parameters used in the construction of FIF. The second method is via Fourier transform of FIF. This approach gives the regularity of the FIF under certain conditions on free parameters. The Fourier transform of a FIF is also derived in this paper to facilitate the approach of wavelet transform of a FIF via Fourier transform. Walter de Gruyter Online Zeitschriften Fractal interpolation function wavelet transform Fourier transform functional equation Enthalten in Advances in pure and applied mathematics= Avancées en mathématiques pures et appliquées London : ISTE OpenScience, 2010 4(2013), 2 vom: 05. Juni, Seite 189-202 (DE-627)NLEJ248235028 (DE-600)2549738-8 1869-6090 nnns volume:4 year:2013 number:2 day:05 month:06 pages:189-202 extent:14 https://doi.org/10.1515/apam-2013-0003 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 4 2013 2 05 06 189-202 14 |
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Regularity of fractal interpolation functions via wavelet transform |
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In the present paper, the regularity of a Fractal Interpolation Function (FIF) is studied using wavelet transform. The wavelet transform of FIF is obtained through two different methods. The first method uses the functional equation which FIF satisfies. By this method, it is shown that the FIF belongs to Lipschitz class of order , , under certain conditions on free parameters used in the construction of FIF. The second method is via Fourier transform of FIF. This approach gives the regularity of the FIF under certain conditions on free parameters. The Fourier transform of a FIF is also derived in this paper to facilitate the approach of wavelet transform of a FIF via Fourier transform. |
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In the present paper, the regularity of a Fractal Interpolation Function (FIF) is studied using wavelet transform. The wavelet transform of FIF is obtained through two different methods. The first method uses the functional equation which FIF satisfies. By this method, it is shown that the FIF belongs to Lipschitz class of order , , under certain conditions on free parameters used in the construction of FIF. The second method is via Fourier transform of FIF. This approach gives the regularity of the FIF under certain conditions on free parameters. The Fourier transform of a FIF is also derived in this paper to facilitate the approach of wavelet transform of a FIF via Fourier transform. |
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In the present paper, the regularity of a Fractal Interpolation Function (FIF) is studied using wavelet transform. The wavelet transform of FIF is obtained through two different methods. The first method uses the functional equation which FIF satisfies. By this method, it is shown that the FIF belongs to Lipschitz class of order , , under certain conditions on free parameters used in the construction of FIF. The second method is via Fourier transform of FIF. This approach gives the regularity of the FIF under certain conditions on free parameters. The Fourier transform of a FIF is also derived in this paper to facilitate the approach of wavelet transform of a FIF via Fourier transform. |
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The wavelet transform of FIF is obtained through two different methods. The first method uses the functional equation which FIF satisfies. By this method, it is shown that the FIF belongs to Lipschitz class of order , , under certain conditions on free parameters used in the construction of FIF. The second method is via Fourier transform of FIF. This approach gives the regularity of the FIF under certain conditions on free parameters. The Fourier transform of a FIF is also derived in this paper to facilitate the approach of wavelet transform of a FIF via Fourier transform.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Walter de Gruyter Online Zeitschriften</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fractal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">interpolation function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">wavelet transform</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fourier transform</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">functional equation</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Advances in pure and applied mathematics= Avancées en mathématiques pures et appliquées</subfield><subfield code="d">London : ISTE OpenScience, 2010</subfield><subfield code="g">4(2013), 2 vom: 05. Juni, Seite 189-202</subfield><subfield code="w">(DE-627)NLEJ248235028</subfield><subfield code="w">(DE-600)2549738-8</subfield><subfield code="x">1869-6090</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:4</subfield><subfield code="g">year:2013</subfield><subfield code="g">number:2</subfield><subfield code="g">day:05</subfield><subfield code="g">month:06</subfield><subfield code="g">pages:189-202</subfield><subfield code="g">extent:14</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/apam-2013-0003</subfield><subfield code="z">Deutschlandweit zugänglich</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-DGR</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">4</subfield><subfield code="j">2013</subfield><subfield code="e">2</subfield><subfield code="b">05</subfield><subfield code="c">06</subfield><subfield code="h">189-202</subfield><subfield code="g">14</subfield></datafield></record></collection>
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