Extended Real-Valued Double Sequence and Its Convergence

• Autorzy: Noboru Endou
• Języki publikacji: EN

Abstrakty

EN

In this article we introduce the convergence of extended realvalued double sequences [16], [17]. It is similar to our previous articles [15], [10]. In addition, we also prove Fatou’s lemma and the monotone convergence theorem for double sequences.

Słowa kluczowe

EN

double sequence; Fatou’s lemma for double sequence; monotone convergence theorem for double sequence

Kategorie tematyczne

• 40B05: Multiple sequences and series (should also be assigned at least one other classification number in this section)
• 03B35: Mechanization of proofs and logical operations
• 40A05: Convergence and divergence of series and sequences

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2015
• Tom: 23
• Numer: 3
• Strony: 253-277

Daty

wydano

2015-09-01

otrzymano

2015-07-01

online

2015-09-30

Twórcy

autor

Noboru Endou

• Gifu National College of Technology Gifu, Japan

Bibliografia

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• [26] Hiroshi Yamazaki, Noboru Endou, Yasunari Shidama, and Hiroyuki Okazaki. Inferior limit, superior limit and convergence of sequences of extended real numbers. Formalized Mathematics, 15(4):231-236, 2007. doi:10.2478/v10037-007-0026-3. [Crossref]

Identyfikatory

DOI

10.1515/forma-2015-0021