TY  - JOUR
T1  - Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence
AU  - Sözbir, Bayram
AU  - Altundağ, Selma
PY  - 2019
DA  - December
Y2  - 2019
DO  - 10.33187/jmsm.652626
JF  - Journal of Mathematical Sciences and Modelling
PB  - Mahmut AKYİĞİT
WT  - DergiPark
SN  - 2636-8692
SP  - 198
EP  - 204
VL  - 2
IS  - 3
LA  - en
AB  - In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ−summability of double sequences and investigate the relation between these two new concepts. Moreover, statistical convergence andαβ−statistical convergence of double sequences are compared under some certain assumptions. Finally, as an application, we prove Korovkin type approximation theorem for a function of two variables by using the notion ofαβ−statistical convergence.
KW  - αβ-statistical convergence
KW  - Double sequences
KW  - Korovkin type theorem
KW  - Lacunary statistical convergence
KW  - λ-statistical convergence
KW  - Statistical convergence
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UR  - https://doi.org/10.33187/jmsm.652626
L1  - https://dergipark.org.tr/en/download/article-file/899887
ER  -