Tauberian theorems for sequences with moderately oscillatory control moduli

Author

Mehmet Di̇k

Abstract

"In classical Tauberian theory, after a few significant generalizations of Tauber’s original condition for the convergence recovery of a sequence {u_n} out of Abel’s necessary convergence condition, finding more subtle control devices for the oscillatory behavior became rather difficult.

Based on the Graduate Research Seminar notes of Professor Časlav V. Stanojević, and the method of Karamata, new control devices for the oscillatory behavior are obtained. These control devices are used to discover new Tauberian conditions. Consequently, classical Tauberian theory is extended. This theory leads to generalizations of the classical Tauberian theorems. Also, the class of moderately oscillatory regularly generated sequences is considered, and similar theorems to the classical Tauberian theorems are established"--Abstract, page iii.

Advisor(s)

Stanojevic, Caslav V., 1928-2008

Committee Member(s)

Hall, Leon M., 1946-
Hering, Roger H.
Randolph, Timothy W.
Gelles, Gregory M.

Department(s)

Mathematics and Statistics

Degree Name

Ph. D. in Mathematics

Publisher

University of Missouri--Rolla

Publication Date

Summer 2002

Pagination

iv, 44 pages

Note about bibliography

Includes bibliographical references (pages 42-43).

Rights

© 2002 Mehmet Di̇k, All rights reserved.

Document Type

Dissertation - Restricted Access

File Type

text

Language

English

Subject Headings

Tauberian theoremsSequences (Mathematics)

Thesis Number

T 8090

Print OCLC #

52545668

Recommended Citation

Di̇k, Mehmet, "Tauberian theorems for sequences with moderately oscillatory control moduli" (2002). Doctoral Dissertations. 1444.
https://scholarsmine.mst.edu/doctoral_dissertations/1444