On regularly weighted generated sequences | Zendy

Ümit Totura | Zendy; İbrahi̇m Çanak | Zendy

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On regularly weighted generated sequences

Author(s) -

Ümit Totura,

İbrahi̇m Çanak

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1707167t

Subject(s) - mathematics , sequence (biology) , abelian and tauberian theorems , series (stratigraphy) , power series , discrete mathematics , pure mathematics , combinatorics , calculus (dental) , mathematical analysis , paleontology , genetics , biology , medicine , dentistry

We introduce a new concept which is called a regularly weighted generated sequence for sequences of real numbers. Moreover, we obtain some Tauberian conditions in terms of regularly weighted generated sequences for the power series method of summability, and generalize some classical Tauberian theorems given by Tietz [Acta Sci. Math. 54 (3-4) 355--365 (1990)].

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