AbstractA result of Hardy, giving a necessary and sufficient condition for a trigonometric series with decreasing coefficients to have an asymptotic sum, is extended to the case of coefficients, quasimonotone in either sense. It is shown that in a certain sense the results are best possible
© Mathematical Association of America. In this note we give a rigorous proof by elementary means of ...
AbstractWe derive asymptotic estimates for the coefficient of zk in (f(z))n when n→∞ and k is of ord...
We characterize precisely the possible rate of decay of the anti-analytic half of a trigonometric se...
AbstractA result of Hardy, giving a necessary and sufficient condition for a trigonometric series wi...
AbstractIn this note, the well known theorem of Chaundy and Jolliffe giving necessary and sufficient...
AbstractIn this paper, the asymptotic behavior of a trigonometric series with O-regularly varying qu...
AbstractA result of Nurcombe giving a necessary and sufficient condition for the uniform convergence...
AbstractA result of Nurcombe giving a necessary and sufficient condition for the uniform convergence...
Abstract. The investigation of the asymptotic behavior of trigonometric series near the origin is a ...
AbstractWe study trigonometric series with general monotone coefficients. Convergence results in the...
AbstractIn this note, the well known theorem of Chaundy and Jolliffe giving necessary and sufficient...
Result concerning integrability of f(x)L(l/x)(g(x)L(l/x)), where f(x)(g(x)) is the pointwise limit o...
AbstractL1-convergence theorems for Fourier series with complex quasimonotone coefficients are gener...
AbstractWe give an essential generalization of Telyakovskii's results on the convergence of trigonom...
In the present paper, a general theorem concerning ϕ − |C,α, ρ, γ |k summability factors of infinte ...
© Mathematical Association of America. In this note we give a rigorous proof by elementary means of ...
AbstractWe derive asymptotic estimates for the coefficient of zk in (f(z))n when n→∞ and k is of ord...
We characterize precisely the possible rate of decay of the anti-analytic half of a trigonometric se...
AbstractA result of Hardy, giving a necessary and sufficient condition for a trigonometric series wi...
AbstractIn this note, the well known theorem of Chaundy and Jolliffe giving necessary and sufficient...
AbstractIn this paper, the asymptotic behavior of a trigonometric series with O-regularly varying qu...
AbstractA result of Nurcombe giving a necessary and sufficient condition for the uniform convergence...
AbstractA result of Nurcombe giving a necessary and sufficient condition for the uniform convergence...
Abstract. The investigation of the asymptotic behavior of trigonometric series near the origin is a ...
AbstractWe study trigonometric series with general monotone coefficients. Convergence results in the...
AbstractIn this note, the well known theorem of Chaundy and Jolliffe giving necessary and sufficient...
Result concerning integrability of f(x)L(l/x)(g(x)L(l/x)), where f(x)(g(x)) is the pointwise limit o...
AbstractL1-convergence theorems for Fourier series with complex quasimonotone coefficients are gener...
AbstractWe give an essential generalization of Telyakovskii's results on the convergence of trigonom...
In the present paper, a general theorem concerning ϕ − |C,α, ρ, γ |k summability factors of infinte ...
© Mathematical Association of America. In this note we give a rigorous proof by elementary means of ...
AbstractWe derive asymptotic estimates for the coefficient of zk in (f(z))n when n→∞ and k is of ord...
We characterize precisely the possible rate of decay of the anti-analytic half of a trigonometric se...
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