Absolute Cesàro summability of the factored Fourier series
نویسندگان
چکیده
منابع مشابه
On generalized absolute Cesàro summability
In this paper, a main theorem dealing with | C, 1 |k summability factors has been generalized under more weaker conditions for | C,α, β |k summability factors. This theorem also includes some new results. Mathematics Subject Classification 2000: 40D15, 40F05, 40G05, 40G99.
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In this paper we deal with a main theorem on the local property of ∣∣N, pn∣∣k, k ≥ 1 summability of factored Fourier series, which generalizes some known results. Mathematics Subject Classification: 40D15, 40G99, 42A24, 42B15
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A positive sequence (bn) is said to be almost increasing if there exists a positive increasing sequence cn and two positive constants A and B such that Acn ≤ bn ≤ Bcn (see [1]). Obviously every increasing sequence is almost increasing but the converse need not be true as can be seen from the example bn = ne(−1) n . Let ∑ an be a given infinite series with partial sums (sn). We denote by tn n-th...
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We improve and generalize a result on a local property of |T |k summability of factored Fourier series due to Sarıgöl [6].
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The behaviour of Cesàro means of trigonometric Fourier series of monotone type functions in the space of continuous functions is studied.
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1970
ISSN: 0386-5991
DOI: 10.2996/kmj/1138846059