Some Tauberian Remainder Theorems for Holder Summability
Abstract
In this paper, we prove some Tauberian remainder theorems that generalize the results given by Meronen and Tammeraid [Math. Model. Anal., 18(1):97– 102, 2013] for Holder summability method using the notion of the general control modulo of the oscillatory behaviour of nonnegative integer order.
Keywords:
Tauberian remainder theorem, λ-bounded series, general control modulo, Holder summabilityHow to Cite
Totur, U., & Okur, M. A. (2015). Some Tauberian Remainder Theorems for Holder Summability. Mathematical Modelling and Analysis, 20(2), 139-147. https://doi.org/10.3846/13926292.2015.1011719
Share
License
Copyright (c) 2015 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
View article in other formats
CrossMark check
Published
2015-03-30
Issue
Section
Articles
Copyright
Copyright (c) 2015 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Totur, U., & Okur, M. A. (2015). Some Tauberian Remainder Theorems for Holder Summability. Mathematical Modelling and Analysis, 20(2), 139-147. https://doi.org/10.3846/13926292.2015.1011719