On the Localization of Factored Fourier Series
نویسنده
چکیده
HÜSEYİN BOR Abstract. In this paper, a general theorem dealing with the local property of | N̄ , pn, θn |k summability of factored Fourier series has been proved , which generalizes some known results. 2010 AMS Subject Classification: 40G99, 42A24, 42B08.
منابع مشابه
On the ∣∣N, pn∣∣k Summability of Factored Fourier Series
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
متن کاملOn the local properties of factored Fourier series
In this paper we have improved the result of Bor [Bull. Math. Anal. Appl.1, (2009), 15-21] on local property of N, pn, θn k summability of factored Fourier series by proving under weaker conditions.
متن کاملLocal Properties of Fourier Series
A theorem on local property of |N̄,pn|k summability of factored Fourier series, which generalizes some known results, and also a general theorem concerning the |N̄,pn|k summability factors of Fourier series have been proved.
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 کاملDetermination of a jump by Fourier and Fourier-Chebyshev series
By observing the equivalence of assertions on determining the jump of a function by its differentiated or integrated Fourier series, we generalize a previous result of Kvernadze, Hagstrom and Shapiro to the whole class of functions of harmonic bounded variation. This is achieved without the finiteness assumption on the number of discontinuities. Two results on determination of ...
متن کامل