αβ−STATISTICAL CONVERGENCE ON TIME SCALES
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bibitem{ad}
{sc A. Cabada {rm and} D. R. Vivero}: textit{Expression of
the Lebesgue $Delta-$integral on time scales as a usual Lebesgue
integral: Application to the calculus of
$Delta-$antiderivatives}. Math. Comput. Model. {bf 43} (1-2)
(2006), 194-207.
bibitem{ar}
{sc A. R. Freedman, J. J. Sember {rm and} M. Raphael}:
textit{Some Ces`{a}ro type summability spaces}. Proc. London
Math. Soc. {bf 37} (1978), 508-520.
bibitem{bs}
{sc B. Aulbach {rm and} S. Hilger}: textit{A unified approach
to continuous and discrete dynamics}. In: Qualitative Theory of
Differential Equations (Szeged 1988), Colloq. Math. Soc. Janos
Bolyai 53, North-Holland, Amsterdam (1990), 37-56.
bibitem{bss}
{sc B. Sozbir {rm and} S. Altundag}: textit{Weighted
statistical convergence on time scale}. Dyn. Contin. Discrete
Impuls. Syst. Ser. A Math. Anal. {bf 26} (2019), 137-143.
bibitem{co}
{sc C. Turan {rm and} O. Duman}: textit{Statistical
convergence on time scales and its characterizations}. Springer
Proc. Math. Stat. {bf 41} (2013), 57-71.
bibitem{ct}
{sc C. Turan {rm and} O. Duman}: textit{Convergence methods
on time scales}. AIP Conf. Proc. {bf 1558} (1) (2013), 1120-1123.
bibitem{od}
{sc C. Turan {rm and} O. Duman}: textit{Fundamental
properties of statistical convergence and lacunary statistical
convergence on time scales}. Filomat {bf 31} (14) (2017),
-4467.
bibitem{ep}
{sc E. Savas {rm and} P. Das}: textit{A generalized
statistical convergence via ideals}. Appl. Math. Lett. {bf 24}
(2011), 826-830.
bibitem{ey}
{sc E. Yilmaz, Y. Altin {rm and} H. Koyunbakan}: textit{
$lambda-$statistical convergence on time scales}. Dyn. Contin.
Discrete Impuls. Syst. Ser. A Math. Anal. {bf 23} (1) (2016),
-78.
bibitem{fmo}
{sc F. M'{o}ricz}: textit{Statistical limits of measurable
functions}. Analysis {bf 24} (1) (2004), 1-18.
bibitem{fn}
{sc F. Nuray}: textit{$lambda-$strongly summable and
$lambda-$statistically convergent functions}. Iran. J. Sci.
Technol. Trans. A Sci. {bf 34} (4) (2010), 335-338.
bibitem{gs}
{sc G. S. Guseinov}: textit{Integration on time scales}. J.
Math. Anal. Appl. {bf 285} (1) (2003), 107-127.
bibitem{hak}
{sc H. Aktuglu}: textit{Korovkin type approximation theorems
proved via $alpha beta -$statistical convergence}. J. Comput.
Appl. Math. {bf 259} (2014), 174-181.
bibitem{hf}
{sc H. Fast}: textit{Sur la convergence statistique}. Colloq.
Math. {bf 2} (1951), 241-244.
bibitem{hs}
{sc H. Steinhaus}: textit{Sur la convergence ordinaire et la
convergence asymptotique}. Colloq. Math. {bf 2} (1) (1951),
-74.
bibitem{ij}
{sc I. J. Schoenberg}: textit{The integrability of certain
functions and related summability methods}. Amer. Math. Monthly
{bf 66} (1959), 361-375.
bibitem{ja}
{sc J. A. Fridy}: textit{On statistical convergence}. Analysis
{bf 5} (1985), 301-313.
bibitem{jh}
{sc J. A. Fridy {rm and} H. I. Miller}: textit{A matrix
characterization of statistical convergence}. Analysis {bf 11}
(1991), 59-66.
bibitem{jc}
{sc J. A. Fridy {rm and} C. Orhan}: textit{Lacunary
statistical convergence}. Pacific J. Math. {bf 160} (1993),
-51.
bibitem{js}
{sc J. S. Connor}: textit{The statistical and strong
p-Ces`{a}ro convergence of sequences}. Analysis {bf 8} (1988),
-63.
bibitem{jsc}
{sc J. S. Connor}: textit{On strong matrix summability with
respect to a modulus and statistical convergence}. Canad. Math.
Bull. {bf 32} (1989), 194-198.
bibitem{ma}
{sc M. Bohner {rm and} A. Peterson}: textit{Dynamic equations
on time scales. An introduction with applications}.
Birkh"{a}user, Boston, 2001.
bibitem{mb}
{sc M. Bohner {rm and} A. Peterson}: textit{Advances in
dynamic equations on time scales}. Birkh"{a}user, Boston, 2003.
bibitem{mm}
{sc M. Mursaleen}: textit{$lambda-$statistical convergence}.
Math. Slovaca {bf 50} (1) (2000), 111-115.
bibitem{mn}
{sc M. S. Seyyidoglu {rm and} N. O. Tan}: textit{A note on
statistical convergence on time scale}. J. Inequal. Appl. {bf
} (2012), Paper No. 219.
bibitem{pd}
{sc P. Das, E. Savas {rm and} S. K. Ghosal}: textit{On
generalizations of certain summability methods using ideals}.
Appl. Math. Lett. {bf 24} (2011), 1509-1514.
bibitem{sh}
{sc S. Hilger}: textit{Analysis on measure chains-a unified
approach to continuous and discrete calculus}. Results Math. {bf
} (1-2) (1990), 18-56.
bibitem{tr}
{sc T. Rzezuchowski}: textit{A note on measures on time
scales}. Demonstr. Math. {bf 38} (1) (2005), 79-84.
bibitem{ts}
{sc T. v{S}al'{a}t}: textit{On statistically convergent
sequences of real numbers}. Math. Slovaca {bf 30} (2) (1980),
-150.
bibitem{yhe}
{sc Y. Altin, H. Koyunbakan {rm and} E. Yilmaz}:
textit{Uniform statistical convergence on time scales}. J. Appl.
Math. {bf 2014} (2014), Article ID 471437.
DOI: https://doi.org/10.22190/FUMI2001141S
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