In this paper we introduce and study some properties of the new sequence space of order α which is defined using the modulus and ϕ function. Furthermore some connections between - strong summability of sequences and μ− strong convergence of order α with respect to a modulus are studied.
REFERENCES
1.
S.
Banach
, Theorie des operations lineaires (Monografje Matematyczne, Warszawa
, (1932
).2.
R.
Colak
, C. A.
Bektas
, Acta Math. Scientia
, 31B
, 953
–959
(2011
).3.
J.
Connor
, Canad. Math. Bull.
32
, 194
–198
(1989
).4.
A. R.
Freedman
, J. J.
Sember
, M.
Raphel
, Proc. London Math. Soc.
, 37
, 508
–520
(1978
).5.
G. G.
Lorentz
, Acta Math.
80
, 167
–190
(1948
).6.
I. J.
Maddox
, Quart. J. Math.
, 18
, 345
–355
(1967
).7.
I. J.
Maddox
, Math. Proc. Camb. Philos. Soc.
, 100
, 161
–166
(1986
).8.
9.
10.
11.
12.
13.
14.
E.
Savaş
, Inter.J. Math. and Math. Sci.
29
, 303
–306
(2002
).15.
E.
Savaş
, Inter.J. Math. and Math. Sci.
29
, (2002
).16.
17.
E.
Savaş
, New Math. Nat. Comput.
3
, 301306
(2007
).18.
E.
Savaş
A new sequence space of order α defined by modulus function, The Conference Fourth International Conference on Computational Mathematics and Engineering Sciences CMES-2019
, Antalya/Turkey
, 20 to 22 April 2019
.19.
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