Abstract
In this paper, we extend a Tauberian theorem for the Cesàro summability method due to Maddox (Analysis 9:297–302, 1989) in ordered spaces to the weighted mean method of summability.
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References
Móricz F, Rhoades BH (2004) Necessary and sufficient Tauberian conditions for certain weighted mean methods of summability II. Acta Math Hung 102:279–285
Schmidt R (1925) Über divergente Folgen und lineare Mittelbildungen. Math Z 22:89–152
Maddox IJ (1989) A Tauberian theorem for ordered spaces. Analysis 9:297–302
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The author thanks Prof. Girjesh Govil for his comment which improved the quality and presentation of the paper.
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Çanak, İ. A Tauberian Theorem for a Weighted Mean Method of Summability in Ordered Spaces. Natl. Acad. Sci. Lett. 43, 553–555 (2020). https://doi.org/10.1007/s40009-020-00915-1
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DOI: https://doi.org/10.1007/s40009-020-00915-1