Results 221 to 230 of about 383 (244)

Θ-summability of Fourier series

Acta Mathematica Hungarica, 2004
In this paper the author investigates a general summability method of orthogonal series with the help of an integrable function \(\theta\). Under some conditions he shows that if the maximal Fejér operator is bounded from a Banach space \(\mathbf X\) to \(\mathbf Y\), then the maximal \(\theta\)-operator is also bounded.
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Summability of Series

The American Mathematical Monthly, 1932
(1932). Summability of Series. The American Mathematical Monthly: Vol. 39, No. 2, pp. 62-71.
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On Strong Summability of Fourier Series of Summable Functions

Ukrainian Mathematical Journal, 2000
Summary: In the metric of \(L\) we obtain estimates for the generalized means of deviations of partial Fourier sums from an arbitrary summable function in terms of the corresponding means of its best approximations by trigonometric polynomials.
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The Summability of Fourier Series

The Mathematical Gazette, 1931
One of the oldest problems in the theory of Fourier series is that of looking for a criterion that a Fourier series shall converge. No one, however, has been able to find a simple, necessary and sufficient condition for this. Thus, for instance, bounded variation of the function is sufficient but not necessary.
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On Ingham summability and summability by Lambert series

Mathematical Proceedings of the Cambridge Philosophical Society, 1955
In his paper ‘Some Tauberian theorems connected with the prime number theorem’, Ingham(10) discusses the method of summation of the series defined ...
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Summability of Power Series

The American Mathematical Monthly, 1946
(1946). Summability of Power Series. The American Mathematical Monthly: Vol. 53, No. 5, pp. 251-259.
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Summability of Multiple Series

Proceedings of the London Mathematical Society, 1940
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On Riesz Summability and Summability by Dirichlet's Series

American Journal of Mathematics, 1947
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Summable Trigonometric Series and Summable Power Series

1988
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Summability Methods and Orthogonal Series

Journal of the London Mathematical Society, 1963
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