- Turkish Journal of Mathematics
- Vol: 40 Issue: 5
- Some results concerning the summability of spliced sequences
Some results concerning the summability of spliced sequences
Authors : Tuğba Yurdakadim, Mehmet Ünver
Pages : 1134-1143
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :A spliced sequence is formed by combining all of the terms of two or more convergent sequences, in their original order, into a new spliced sequence. In this paper replacing convergent sequences by bounded sequences, we study the summability of spliced sequences and give some inequalities that provide us with approximation of the core of transformation of these sequences by a summability matrix. We also present some further results via the Lebesgue integral.Keywords : Matrix summability, spliced sequences, $A$-density, core of a sequence