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DEGREE OF APROXIMATION OF HÖLDER CONTINUOUS FUNCTIONS
| Title: | DEGREE OF APROXIMATION OF HÖLDER CONTINUOUS FUNCTIONS. |
 33 views 11 downloads |
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| Name(s): |
Landon, Benjamin, Author Mohapatra, Ram, Committee Chair University of Central Florida, Degree Grantor |
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| Type of Resource: | text | |
| Date Issued: | 2008 | |
| Publisher: | University of Central Florida | |
| Language(s): | English | |
| Abstract/Description: | Pratima Sadangi in a Ph.D. thesis submitted to Utkal University proved results on degree of approximation of functions by operators associated with their Fourier series. In this dissertation, we consider degree of approximation of functions in H_(α,p) by different operators. In Chapter 1 we mention basic definitions needed for our work. In Chapter 2 we discuss different methods of summation. In Chapter 3 we define the H_(α,p) metric and present the degree of approximation problem relating to Fourier series and conjugate series of functions in the H_(α,p) metric using Karamata (K^λ) means. In Chapter 4 we present the degree of approximation of an integral associated with the conjugate series by the Euler, Borel and (e,c) means of a series analogous to the Hardy-Littlewood series in the H_(α,p) metric. In Chapter 5 we propose problems to be solved in the future. | |
| Identifier: | CFE0002414 (IID), ucf:47730 (fedora) | |
| Note(s): |
2008-12-01 Ph.D. Sciences, Department of Mathematics Doctorate This record was generated from author submitted information. |
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| Subject(s): |
Hölder metric H_(± p) metric Euler Borel (e c) and K^» means Fourier series HL-series |
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| Persistent Link to This Record: | http://purl.flvc.org/ucf/fd/CFE0002414 | |
| Restrictions on Access: | public | |
| Host Institution: | UCF |
