Results 221 to 230 of about 406 (262)

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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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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On the Norlund summability of Fourier series

Bulletin de la Classe des sciences, 1966
Varshney Om P. On the Norlund summability of Fourier series. In: Bulletin de la Classe des sciences, tome 52, 1966. pp. 1552-1558.
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On Integrals and Summable Trigonometric Series

Canadian Mathematical Bulletin, 1981
AbstractIn considering a problem on certain summable (C, k) trigonometric series, R. D. James [13] used a symmetric pk+2- integral defined earlier to recapture the coefficients of the series from the sum function. James' formulas for the coefficients are more complicated than the usual Euler-Fourier form since the pk + 2 - integral is of order k + 2 ...
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On the Absolute Summability of Fourier Series

Journal of the London Mathematical Society, 1942
Unter \(f (x)\) werde eine mit \(2\pi\) periodische, \(L\)-integrable Funktion verstanden; ihre Fourierreihe laute \[ f (x) \sim \frac {a_0}2 + \sum_{n=1}^\infty (a_n \cos\, nx + b_n \sin\, nx). \tag{1} \] Die Funktion \(f (x)\) heißt zur Klasse \(\text{Lip}\,k\) \((0 < k \leq 1)\) gehörig, wenn gleichmäßig für alle \(x\) \[ |f(x+t)-f(x)|= O(|t|^k ...
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A Theorem on the Summability of Series

Proceedings of the London Mathematical Society, 1949
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On Riesz Summability and Summability by Dirichlet's Series

American Journal of Mathematics, 1947
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On the Summability of Trigonometrical Series

Journal of the London Mathematical Society, 1932
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Summability of Multiple Series

Proceedings of the London Mathematical Society, 1940
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On the Summability of Schlömilch Series

Proceedings of the London Mathematical Society, 1936
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