Atıf İçin Kopyala
KAMA R., ALTAY B.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.42, sa.12, ss.1410-1422, 2021 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
42
Sayı:
12
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Basım Tarihi:
2021
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Doi Numarası:
10.1080/01630563.2021.1961803
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Dergi Adı:
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
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Sayfa Sayıları:
ss.1410-1422
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Anahtar Kelimeler:
Statistical convergence, Orlicz-Pettis Theorem, weakly unconditionally Cauchy series, completeness, CONVERGENT SEQUENCES, MATRIX SUMMABILITY, NORMED SPACES, COMPLETENESS, DENSITY, SERIES, MODULI
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İnönü Üniversitesi Adresli:
Evet
Özet
In this paper, we introduce some new multiplier spaces related to a series Sigma(i)x(i) in a normed space X through f-statistical summability and give some characterizations of completeness and barrelledness of the spaces through weakly unconditionally Cauchy series in X and X*, respectively. We also obtain a new version of the Orlicz-Pettis theorem within the frame of the f-statistical convergence.