OPERATOR SUPERPOSISI PADA RUANG HOLDER

This thesis discusses the Holder functions, Holder space and their properties. Furthermore, we will introduce the superposition operator in general and the properties of the superposition operator in Holder space. The properties discussed are the following: the acting condition, the boundedness cond...

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Main Authors: , YUNDARI, S. S i, , Dr. Supama, M.Si
Format: Thesis
Published: [Yogyakarta] : Universitas Gadjah Mada 2011
Subjects:
ETD
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author , YUNDARI, S. S i
, Dr. Supama, M.Si
author_facet , YUNDARI, S. S i
, Dr. Supama, M.Si
author_sort , YUNDARI, S. S i
collection UGM
description This thesis discusses the Holder functions, Holder space and their properties. Furthermore, we will introduce the superposition operator in general and the properties of the superposition operator in Holder space. The properties discussed are the following: the acting condition, the boundedness condition and the continuity condition. The superposition operator which discussed a nonlinear operator so that the boundedness and the continuity is not equivalent. The superposition operator F generated by f maps holder room into relation room does not imply its boundedness, except for the autonomous case. However if F is bounded, then F is not continuous even though for the autonomous case, and only in case superposition operator F generated by f maps holder room into sub relation and holder room .
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institution Universiti Gadjah Mada
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publisher [Yogyakarta] : Universitas Gadjah Mada
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spelling oai:generic.eprints.org:899562014-08-20T02:54:24Z https://repository.ugm.ac.id/89956/ OPERATOR SUPERPOSISI PADA RUANG HOLDER , YUNDARI, S. S i , Dr. Supama, M.Si ETD This thesis discusses the Holder functions, Holder space and their properties. Furthermore, we will introduce the superposition operator in general and the properties of the superposition operator in Holder space. The properties discussed are the following: the acting condition, the boundedness condition and the continuity condition. The superposition operator which discussed a nonlinear operator so that the boundedness and the continuity is not equivalent. The superposition operator F generated by f maps holder room into relation room does not imply its boundedness, except for the autonomous case. However if F is bounded, then F is not continuous even though for the autonomous case, and only in case superposition operator F generated by f maps holder room into sub relation and holder room . [Yogyakarta] : Universitas Gadjah Mada 2011 Thesis NonPeerReviewed , YUNDARI, S. S i and , Dr. Supama, M.Si (2011) OPERATOR SUPERPOSISI PADA RUANG HOLDER. UNSPECIFIED thesis, UNSPECIFIED. http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=52306
spellingShingle ETD
, YUNDARI, S. S i
, Dr. Supama, M.Si
OPERATOR SUPERPOSISI PADA RUANG HOLDER
title OPERATOR SUPERPOSISI PADA RUANG HOLDER
title_full OPERATOR SUPERPOSISI PADA RUANG HOLDER
title_fullStr OPERATOR SUPERPOSISI PADA RUANG HOLDER
title_full_unstemmed OPERATOR SUPERPOSISI PADA RUANG HOLDER
title_short OPERATOR SUPERPOSISI PADA RUANG HOLDER
title_sort operator superposisi pada ruang holder
topic ETD
work_keys_str_mv AT yundarissi operatorsuperposisipadaruangholder
AT drsupamamsi operatorsuperposisipadaruangholder