On the properties of oscillation and almost periodicity of certain convolutions

In this paper we have collected some partial results on the sign of u(t,x) where u is a (sufficiently regular) solution of ⎧ u_tt + (-1)^m Δ^mu = 0 (t,x) ∈ R x Ω ⎨ ⎩ u_|Γ = ... = Δ^m-1 u_|Γ = 0 t ∈ R. These results rely on the study of a sign of almost periodic functions of a special...

Absolute convergence of Fourier series of a function of Wiener’s class $V_{p}$

Siddiqi, Rafat N. (1979)

Portugaliae mathematica

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Some inequalities involving trigonometrical polynomials

E. Bombieri, H. Davenport (1969)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On the integrability and L¹-convergence of sine series

Ferenc Móricz (1989)

Studia Mathematica

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Indirect approximation theorems in $L^{p}$ -metrics $(1 < p < \infty)$

R. Taberski (1979)

Banach Center Publications

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Necessary and Sufficient Condition for Oscillations of Neutral Differential Equation

Elabbasy, E., Hassan, T., Saker, S. (2005)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 34K15, 34C10. We obtain necessary and sufficient conditions for the oscillation of all solutions of neutral differential equation with mixed (delayed and advanced) arguments ...