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Some Tauberian Remainder Theorems for Holder Summability

    Umit Totur Affiliation
    ; Muhammet Ali Okur Affiliation

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.

Keyword : Tauberian remainder theorem, λ-bounded series, general control modulo, Holder summability

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
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Mar 30, 2015
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This work is licensed under a Creative Commons Attribution 4.0 International License.