Absolute Convergence of the Double Fourier-Franklin Series
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DOI: 10.1134/s0037446620030039
Abstract: We prove that, for every 0 < ϵ < 1, there exists a measurable set E ⊂ T = [0, 1] 2 with measure ∣ E ∣ > 1 − ϵ such that, for all… read more here.
Keywords: absolute convergence; convergence double; fourier franklin; double fourier ... See more keywords
On deferred f-statistical convergence for double sequences
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DOI: 10.1515/math-2023-0174
Abstract: Abstract In this article, we first put forward the concept of deferred f-double natural density for double sequences, where f is an unbounded modulus. Then, we combine f-density with deferred statistical convergence for double sequences… read more here.
Keywords: statistical convergence; convergence double; double sequences; deferred statistical ... See more keywords
Exponent of convergence for double sequences and selection principles
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DOI: 10.2298/fil1709821d
Abstract: In this paper, we will define the exponent of convergence for double sequences and in that terminology, we will prove tree new theorems in theory of selection principles for double sequences. read more here.
Keywords: exponent convergence; convergence double; selection principles; double sequences ... See more keywords