On absolute summability of infinite series and Fourier series
نویسندگان
چکیده
Abstract In the present paper, a theorem on θ −| T; δ | k summability method of an infinite series is proved, and also by using this method, result trigonometric Fourier obtained.
منابع مشابه
On absolute generalized Norlund summability of double orthogonal series
In the paper [Y. Okuyama, {it On the absolute generalized N"{o}rlund summability of orthogonal series},Tamkang J. Math. Vol. 33, No. 2, (2002), 161-165] the author has found some sufficient conditions under which an orthogonal seriesis summable $|N,p,q|$ almost everywhere. These conditions are expressed in terms of coefficients of the series. It is the purpose ofthis paper to extend this result...
متن کاملCharacterization on Some Absolute Summability Factors of Infinite Series
A general theorem concerning some absolute summability factors of infinite series is proved. This theorem characterizes as well as generalizes our previous result [4]. Other results are also deduced.
متن کاملLocal property of absolute weighted mean summability of Fourier series
We improve and generalize a result on a local property of |T |k summability of factored Fourier series due to Sarıgöl [6].
متن کاملLogarithmic Summability of Fourier Series
A set of regular summations logarithmic methods is introduced. This set includes Riesz and Nörlund logarithmic methods as limit cases. The application to logarithmic summability of Fourier series of continuous and integrable functions are given. The kernels of these logarithmic methods for trigonometric system are estimated.
متن کاملOn absolute matrix summability of orthogonal series
In this paper, we prove two theorems on ∣A∣k, 1 ≤ k ≤ 2, summability of orthogonal series. The first one gives a sufficient condition under which an orthogonal series is absolutely summable almost everywhere, and the second one, is a general theorem, which also gives a sufficient condition so that an orthogonal series is absolutely summable almost everywhere, but it involves a positive numerica...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Universitatis Paedagogicae Cracoviensis
سال: 2023
ISSN: ['2080-9751', '2450-341X']
DOI: https://doi.org/10.2478/aupcsm-2023-0010