Regular methods of summability in some locally convex spaces

Costas Poulios

Displaying similar documents to “Regular methods of summability in some locally convex spaces”

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 $| R, p_{n} |_{k}$ , $k \geq 1$ , to be translative. So we extend the known results of Al-Madi [1] and Cesco $[4]$ to the case $k > 1$ .

On $[F, d_{n}]$ summability of Fourier series

P. L. Sharma, V. Prakash, S. K. Varma (1985)

Matematički Vesnik

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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.

On the inclusion relation between strong $(J, p_{n})$ and strong $(\bar{N}, p_{n})$ summability methods

R. K. Jain, A. Ganguly (1978)

Matematički Vesnik

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Relations among K $S (λ)$ and certain other methods for evaluations of sequences and series

B. Martić (1964)

Matematički Vesnik

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On the $C^{α} | C^{β}$ convergence

L. Jeśmanowicz (1962)

Annales Polonici Mathematici

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On the Solutions of the Functional Equation $x (t) + A (t) x (f (t)) = F (t)$ When the Function $F$ Satisfies Some Special Conditions

Mirjana Malenica (1993)

Matematički Vesnik

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A note on the $[τ, f (x)]$ means

V. Swaminathan (1979)

Matematički Vesnik

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On $| V, λ |$ summability of a factored Fourier series

P. L. Sharma, R. K. Jain (1970)

Matematički Vesnik

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Borel summable solutions of the Burgers equation

Grzegorz Łysik (2009)

Annales Polonici Mathematici

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We give necessary and sufficient conditions for the formal power series solutions to the initial value problem for the Burgers equation $\partial_{t} u - \partial_{x} ² u = \partial_{x} (u ²)$ to be convergent or Borel summable.

Some Tauberian theorems on $A_{λ}$ summability methods of integrals

B. P. Mishra, D. Singh (1976)

Matematički Vesnik

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