Some results concerning the summability of spliced sequences

YURDAKADİM, TUĞBA; Ünver, Mehmet

Some results concerning the summability of spliced sequences

Tuğba YURDAKADİM, (Hitit Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Çorum, Türkiye)

Mehmet ÜNVER (Ankara Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara)

Turkish Journal of Mathematics

3 0

Yıl: 2016 Cilt: 40 Sayı: 5 Sayfa Aralığı: 1134 - 1143 Metin Dili: Diğer İndeks Tarihi: 29-07-2022

Some results concerning the summability of spliced sequences

Öz:

Anahtar Kelime:

Konular: Matematik

Öz:

A spliced sequence is formed by combining all of the terms of two or more convergent sequences, in their original order, into a new spliced sequence. In this paper replacing convergent sequences by bounded sequences, we study the summability of spliced sequences and give some inequalities that provide us with approximation of the core of transformation of these sequences by a summability matrix. We also present some further results via the Lebesgue integral.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[1] Agnew RP. Cores of complex sequences and their transforms. Am J Math 1939; 61: 176-186.
[2] Allen HS. T-transformations which leave the core of every bounded sequence invariant. J London Math Soc 1944; 19: 42-46.
[3] Boos J. Classical and Modern Methods in Summability. Oxford, UK: Oxford University Press, 2000.
[4] Buck RC. The measure theoretic approach to density. Am J Math 1946; 68: 560-580.
[5] Buck RC. Generalized asymptotic density. Am J Math 1953; 75: 335-346.
[6] Choudhary B. An extension of Knopps core theorem. J Math Anal Appl 1988; 132: 226-233.
[7] Freedman AR, Sember JJ. Densities and summability. Pacific J Math 1981; 95: 293-305.
[8] Fridy JA. On statistical convergence. Analysis 1985; 5: 301-313.
[9] Fridy JA, Orhan C. Statistical core theorems. J Math Anal Appl 1997; 208: 520-527.
[10] Knopp K. Zur Theorie der Limitierungsverfahren (Erste Mitteilung). Math Z 1930; 31: 97-127.
[11] Kolk E. Matrix summability of statistically convergent sequences. Analysis 1993; 13: 77-83.
[12] Maddox J. Some analogues of Knopps core theorem. Internat J Math Math Sci 1979; 2: 605-614.
[13] Natarajan PN. On the core of a sequence over valued fields. J Indian Math Soc 1990; 55: 189-198.
[14] Osikiewicz JA. Summability of spliced sequences. Rocky Mountain J Math 2005; 35: 977-996.
[15] Rhoades BE. Some properties of totally coregular matrices. Illinois J Math 1960; 4: 518-525.
[16] Unver M, Khan MK, Orhan C. A-distributional summability in topological spaces. Positivity 2014; 18: 131-145.

APA	YURDAKADİM T, Ünver M (2016). Some results concerning the summability of spliced sequences. , 1134 - 1143.
Chicago	YURDAKADİM TUĞBA,Ünver Mehmet Some results concerning the summability of spliced sequences. (2016): 1134 - 1143.
MLA	YURDAKADİM TUĞBA,Ünver Mehmet Some results concerning the summability of spliced sequences. , 2016, ss.1134 - 1143.
AMA	YURDAKADİM T,Ünver M Some results concerning the summability of spliced sequences. . 2016; 1134 - 1143.
Vancouver	YURDAKADİM T,Ünver M Some results concerning the summability of spliced sequences. . 2016; 1134 - 1143.
IEEE	YURDAKADİM T,Ünver M "Some results concerning the summability of spliced sequences." , ss.1134 - 1143, 2016.
ISNAD	YURDAKADİM, TUĞBA - Ünver, Mehmet. "Some results concerning the summability of spliced sequences". (2016), 1134-1143.

APA	YURDAKADİM T, Ünver M (2016). Some results concerning the summability of spliced sequences. Turkish Journal of Mathematics, 40(5), 1134 - 1143.
Chicago	YURDAKADİM TUĞBA,Ünver Mehmet Some results concerning the summability of spliced sequences. Turkish Journal of Mathematics 40, no.5 (2016): 1134 - 1143.
MLA	YURDAKADİM TUĞBA,Ünver Mehmet Some results concerning the summability of spliced sequences. Turkish Journal of Mathematics, vol.40, no.5, 2016, ss.1134 - 1143.
AMA	YURDAKADİM T,Ünver M Some results concerning the summability of spliced sequences. Turkish Journal of Mathematics. 2016; 40(5): 1134 - 1143.
Vancouver	YURDAKADİM T,Ünver M Some results concerning the summability of spliced sequences. Turkish Journal of Mathematics. 2016; 40(5): 1134 - 1143.
IEEE	YURDAKADİM T,Ünver M "Some results concerning the summability of spliced sequences." Turkish Journal of Mathematics, 40, ss.1134 - 1143, 2016.
ISNAD	YURDAKADİM, TUĞBA - Ünver, Mehmet. "Some results concerning the summability of spliced sequences". Turkish Journal of Mathematics 40/5 (2016), 1134-1143.