Notes on Fourier analysis (XIV): Absolute Cesàro summability of 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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A function or a real variable f is said to be periodic with period P if f(x+ P ) = f(x) holds for all x. Hence, if we know the values of f on an interval of length P , we know its values everywhere. If f is a function defined on an interval [a, b), we can extend f to a function defined for all x which is periodic of period b− a. We simply define f(x) to be f(x+ n(b− a)), where n is the integer ...
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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: Tohoku Mathematical Journal
سال: 1949
ISSN: 0040-8735
DOI: 10.2748/tmj/1178245766