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On the pointwise convergence of certain inductively defined sequences of functions Public Deposited

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  • In this paper we suppose that {f[subscript n]}[subscript n ε N] is a countable family of mappings of a topological space into itself and investigate the pointwise convergence of the sequence <F[subscript n]> defined by either F₁ = f₁, F[subscript n]₊₁ = f[subscript n]₊₁°F[subscript n] n = 1, 2, 3, ... or F₁ = f₁, F[subscript n]₊₁ = F[subscript n]₊₁°f[subscript n]₊₁ n = 1, 2, 3, ... The families {f[subscript n]}[subscript n ε N] considered have been chosen in a manner so as to include a study of iteration schemes, infinite products, infinite series and infinite continued fractions.
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-04-23T14:11:27Z (GMT) No. of bitstreams: 1 SeethoffTerranceL1966_Redacted.pdf: 645940 bytes, checksum: ceb2016e092e05eb60ac2e6699721858 (MD5)
  • description.provenance : Made available in DSpace on 2014-04-29T15:52:13Z (GMT). No. of bitstreams: 1 SeethoffTerranceL1966_Redacted.pdf: 645940 bytes, checksum: ceb2016e092e05eb60ac2e6699721858 (MD5) Previous issue date: 1966-04-21
  • description.provenance : Submitted by Alex McFerrin (amscannerosu@gmail.com) on 2014-04-22T21:55:47Z No. of bitstreams: 1 SeethoffTerranceL1966_Redacted.pdf: 645940 bytes, checksum: ceb2016e092e05eb60ac2e6699721858 (MD5)
  • description.provenance : Submitted by Alex McFerrin (amscannerosu@gmail.com) on 2014-04-21T20:47:27Z No. of bitstreams: 1 SeethoffTerranceL1966_Redacted.pdf: 14267435 bytes, checksum: ca6982b55e04b4e3528c2c8fc5d15117 (MD5)
  • description.provenance : Approved for entry into archive by Katy Davis(kdscannerosu@gmail.com) on 2014-04-29T15:52:13Z (GMT) No. of bitstreams: 1 SeethoffTerranceL1966_Redacted.pdf: 645940 bytes, checksum: ceb2016e092e05eb60ac2e6699721858 (MD5)
  • description.provenance : Rejected by Patricia Black(patricia.black@oregonstate.edu), reason: Rescan on 2014-04-22T14:47:08Z (GMT)

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