Geodesic
Bounded index and four dimensional summability methods
Novi Sad Journal of Mathematics, Tome 49 (2019) no. 2 Cet article a éte moissonné depuis la source Novi sad journal of mathematics website

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In this paper, we present necessary and sufficient conditions on four dimensional matrix transformations that preserve entireness, bounded index and absolute convergence of double sequences. We begin this analysis with the following observation: The four dimensional Taylor matrix $T$ transforms the set of double sequences of bounded index into itself. After this observation, we present general characterizations for four dimensional RH-regular matrix transformations for the space of entire, bounded index, and absolutely summable double sequences.
Publié le :
DOI : 10.30755/NSJOM.08285
Classification : 40B05, 40C05, 30D05, 30D15
Keywords: Four dimensional summability method, RH-Regular matrix, Double Sequences, Pringsheim Limit convergence, entire functions, bounded index 
@article{10.30755/NSJOM.08285,
     author = {Fatih Nuray},
     title = {Bounded index and four dimensional summability methods
},
     journal = {Novi Sad Journal of Mathematics},
     pages = {73 - 85},
     year = {2019},
     volume = {49},
     number = {2},
     doi = {10.30755/NSJOM.08285},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.08285/}
}
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Fatih Nuray. Bounded index and four dimensional summability methods. Novi Sad Journal of Mathematics, Tome 49 (2019) no. 2. doi: 10.30755/NSJOM.08285

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