Approximation of holder continuous functions by singular integrals
Abstract
H6lder continuous functions and their fundamental properties are discussed in Chapter 1. Definitions of singular integrals and some basic propositions are dealt with in Chapter 2. In Chapter 3 we list some known results of approximation of H6lder continuous functions by singular integrals obtained in recent years, and in Chapter 4 we carefully study the degree of approximation of function of class L (p > 1) by some particular singular integrals and p obtain some results to be used in Chapter 5. In Chapter 5 we have obtained some new results concerning the degree of a convergence of H6lder continuous functions of class H by p some singular integrals. The results of Chapter 5 extend the results of Mohapatra and Rodriquez [12].
Notes
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Graduation Date
1989
Semester
Fall
Advisor
Mohapatra, Ram N.
Degree
Master of Science (M.S.)
College
College of Arts and Sciences
Department
Mathematical Science
Format
Pages
58 p.
Language
English
Length of Campus-only Access
None
Access Status
Masters Thesis (Open Access)
Identifier
DP0026639
Subjects
Arts and Sciences -- Dissertations, Academic; Dissertations, Academic -- Arts and Sciences
STARS Citation
Chen, Huiping, "Approximation of holder continuous functions by singular integrals" (1989). Retrospective Theses and Dissertations. 4118.
https://stars.library.ucf.edu/rtd/4118
Accessibility Status
Searchable text