The solution of the two-point boundary value problem for a nonlinear differential equation of the third order
Ľudmila Zajacová (1986)
Mathematica Slovaca
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Ľudmila Zajacová (1986)
Mathematica Slovaca
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F. Grünbaum, E. Zarantonello (1966)
Studia Mathematica
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Abd El-Aal El-Adad, El-Sayed (1996)
Serdica Mathematical Journal
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Here we prove results about Riesz summability of classical Laguerre series, locally uniformly or on the Lebesgue set of the function f such that (∫(1 + x)^(mp) |f(x)|^p dx )^(1/p) < ∞, for some p and m satisfying 1 ≤ p ≤ ∞, −∞ < m < ∞.
Shibata, Tetsutaro (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Djalil Kateb, Pierre Gilles Lemarié-Rieusset (1997)
Revista Matemática Iberoamericana
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We give the first term of the asymptotic development for the phase of the N-th (minimum-phased) Daubechies filter as N goes to +∞. We obtain this result through the description of the complex zeros of the associated polynomial of degree 2N+1.
Ryszard Szwarc (1998)
Colloquium Mathematicae
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Harper’s operator is defined on by where . We show that the norm of is less than or equal to for . This solves a conjecture stated in [1]. A general formula for estimating the norm of self-adjoint tridiagonal infinite matrices is also derived.
D. Przeworska-Rolewicz (1969)
Studia Mathematica
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Cédric Villani (1999)
Revista Matemática Iberoamericana
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We show that in the setting of the spatially homogeneous Boltzmann equation without cut-off, the entropy dissipation associated to a function f ∈ L(R) yields a control of √f in Sobolev norms as soon as f is locally bounded below. Under this additional assumption of lower bound, our result is an improvement of a recent estimate given by P.-L. Lions, and is optimal in a certain sense.
J. Radecki (1962)
Studia Mathematica
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