In this paper we introduce the concepts of Wijsman (f, I) −lacunary statistical convergence of order α and Wijsman strongly (f, I) −lacunary statistical convergence of order α, and investigated between their relationship.
REFERENCES
1.
H.
Steinhaus
, Colloquium Mathematicum
2
, 73
–74
(1951
).2.
H.
Fast
, Colloq. Math.
2
, 241
–244
(1951
).3.
I. J.
Schoenberg
, Amer. Math. Monthly
66
, 361
–375
(1959
).4.
5.
6.
A.
Caserta
, G.
Di Maio
, and L. D. R.
Kocinac
, Abstr. Appl. Anal.
Art. ID 420419, p. 11
(2011
).7.
8.
J. S.
Connor
, Analysis
8
, 47
–63
(1988
).9.
10.
11.
H.
Cakalli
, Filomat
27
(8
), 1545
–1549
(2013
).12.
13.
R.
Colak
, Conference on Summability and Applications
, Istanbul Commerce Univ
. May 12-13 İstanbul (2011
).14.
M.
Et
, A.
Alotaibi
, and S. A.
Mohiuddine
, The Scientific World Journal
535419
, p. DOI: (2014
).15.
M.
Et
and H.
Sengul
, Filomat
28
(8
), 1593
–1602
(2014
).16.
17.
18.
J. A.
Fridy
, Analysis
5
, 301
–313
(1985
).19.
A. D.
Gadjiev
and C.
Orhan
, Rocky Mountain J. Math.
32
(1
), 129
–138
(2002
).20.
21.
22.
E.
Savas
and M.
Et
, Period. Math. Hungar.
71
(2
), 135
–145
(2015
).23.
24.
25.
26.
U.
Ulusu
and E.
Dundar
, Filomat
28
(8
), 1567
–1574
(2014
).27.
A. R.
Freedman
, J. J.
Sember
, and M.
Raphael
, Proc. Lond. Math. Soc.
37
(3
), 508
–520
(1978
).28.
J. A.
Fridy
and C.
Orhan
, Pacific J. Math.
160
(1
), 43
–51
(1993
).29.
H.
Sengul
and M.
Et
, Acta Math. Sci. Ser. B Engl. Ed.
34
(2
), 473
–482
(2014
).30.
H.
Sengul
, H.
Cakalli
, and M.
Et
, International Conference of Mathematical Sciences (ICMS 2018) Maltepe
University Istanbul Turkey
(2018
).31.
H. M.
Srivastava
and M.
Et
, Filomat
31
(6
), 1573
–1582
(2017
).32.
H.
Nakano
, Proc. Japan Acad.
27
, 508
–512
(1951
).33.
A.
Aizpuru
, M. C. L.
Garcia
, and F. R.
Barreno
, Quaest. Math.
37
(4
), 525
–530
(2014
).34.
P.
Kostyrko
, T.
Salat
, and W.
Wilczynski
, Real Anal. Exchange
26(2)
, 669
–686
(2000/2001
).35.
F.
Nuray
and W. H.
Ruckle
, J. Math. Anal. Appl.
245
(2
), 513
–527
(2000
).36.
37.
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