Displaying similar documents to “On the Solutions of the Functional Equation x ( t ) + A ( t ) x ( f ( t ) ) = F ( t ) When the Function F Satisfies Some Special Conditions”

Translativity of absolute weighted mean summability

Cihan Orhan (1998)

Czechoslovak Mathematical Journal

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In this paper, we give necessary and sufficient conditions on ( p n ) for | R , p n | k , k ≥ 1 , to be translative. So we extend the known results of Al-Madi [1] and Cesco 4 to the case k > 1 .

On generalized absolute Cesaro summability factors

A. Nihal Tuncer (2002)

Annales Polonici Mathematici

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Using δ-quasi-monotone and any almost increasing sequences we prove a theorem on | C , α , β ; δ | k summability factors of infinite series, which generalizes a theorem of Mazhar [7] on | C , 1 | k summability factors.

Summability of first integrals of a C ω -non-integrable resonant Hamiltonian system

Masafumi Yoshino (2012)

Banach Center Publications

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This article studies the summability of first integrals of a C ω -non-integrable resonant Hamiltonian system. The first integrals are expressed in terms of formal exponential transseries and their Borel sums. Smooth Liouville integrability and a relation to the Birkhoff transformation are discussed from the point of view of the summability.

Regular methods of summability in some locally convex spaces

Costas Poulios (2009)

Commentationes Mathematicae Universitatis Carolinae

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Suppose that X is a Fréchet space, 〈 a i j 〉 is a regular method of summability and ( x i ) is a bounded sequence in X . We prove that there exists a subsequence ( y i ) of ( x i ) such that: either (a) all the subsequences of ( y i ) are summable to a common limit with respect to 〈 a i j 〉 ; or (b) no subsequence of ( y i ) is summable with respect to 〈 a i j 〉 . This result generalizes the Erdös-Magidor theorem which refers to summability of bounded sequences in Banach spaces. We also show that two analogous results for some ω 1 -locally convex...