Displaying similar documents to “On the degree of convergence of Borel and Euler means for double Fourier series of functions of bounded variation in Hardy sense”

Implications between approximate convexity properties and approximate Hermite-Hadamard inequalities

Judit Makó, Zsolt Páles (2012)

Open Mathematics

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The connection between the functional inequalities f x + y 2 ⩽ f x + f y 2 + α J x - y , x , y ∈ D , and ∫ 0 1 f t x + 1 - t y ρ t d t ⩽ λ f x + 1 - λ f y + α H x - y , x , y ∈ D , is investigated, where D is a convex subset of a linear space, f: D → ℝ, α H;α J: D-D → ℝ are even functions, λ ∈ [0; 1], and ρ: [0; 1] →ℝ+ is an integrable nonnegative function with ∫01 ρ(t) dt = 1.

Almost-periodic solutions in various metrics of higher-order differential equations with a nonlinear restoring term

Ján Andres, Alberto Maria Bersani, Lenka Radová (2006)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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Almost-periodic solutions in various metrics (Stepanov, Weyl, Besicovitch) of higher-order differential equations with a nonlinear Lipschitz-continuous restoring term are investigated. The main emphasis is focused on a Lipschitz constant which is the same as for uniformly almost-periodic solutions treated in [A1] and much better than those from our investigations for differential systems in [A2], [A3], [AB], [ABL], [AK]. The upper estimates of ε for ε -almost-periods of solutions and...