Convergence of the Fourier SeriesRavi P. AgarwalDonal O’Regan
Convergence of the Fourier series of f(t)=(t−π)χ(0,2π)f(t)=(t−π)χ(0,2π) Ask Question Asked 12 years ago Modified 12 years ago Viewed 215 times 3 The partial sum of the Fourier series for the function f(t)=(t−π)χ(0,2π)f(t)=(t...
being the complex Fourier series of f (θ).(Received March 18 1935)(Accepted June 03 1935) PGH Hardy,PJE Littlewood - 《Mathematical Proceedings of the Cambridge Philosophical Society》 被引量: 184发表: 1935年 General inequalities for Stieljes integrals and the convergence of Fourier series The ...
网络傅立叶级数的收敛性 网络释义 1. 傅立叶级数的收敛性 ...) 1-6 Parseval 附录一收敛定理第二章傅立叶级数的收敛性(Convergence of Fourier series) 2-1 Gibbs 现象授课教师:应用数 … www.veengle.com|基于91个网页
摘要: A new, unified approach to recent end point estimates for the maximal operator of partial sums of Fourier series is obtained through the use of extrapolation theory. The method involves characterizing certain extrapolation spaces associated with scales of Lorentz-Zygmund spaces....
pointwise convergence of fourier series级数逐点收敛.pdf,Preface This book grew out of my attempt in August 1998 to compare Carleson’s and Fefferman’s proofs of the pointwise convergence of Fourier series with Lacey and Thiele’s proof of the boundedn
1 Gibbs Phenomenon and Fourier Series 3 Fourier series of piecewise-defined function and convergence 1 Proving convergence of infinite series 2 Show that Fourier series of f(x)=|x|f(x)=|x| converges pointwise and uniformly to f(x)f(x) on [−π,π][−π,π...
Absolute convergence of the Fourier series with respect to the generalized Haar system 来自 ResearchGate 喜欢 0 阅读量: 17 作者:GA Akishev,ST Makhashev 摘要: Let {p n } be an increasing sequence, p n ≥2, n=1,2,, m k =p 1 p k , A a set of type l/m k from [0,1]. If...
The convergence of Fourier series and a k -functionaldoi:10.1016/0022-247X(91)90075-BH.NMhaskarSDOSJournal of Mathematical Analysis & Applications
摘要:We prove mean convergence of the Fourier series in Akhiezer–Chebyshev polynomials inLp,p>1, using a weighted inequality for the Hilbert transform in an arc of the unit circle.关键词: Akhiezer–Chebyshev expansions Weighted inequalities Para-orthogonal polynomials Orthogonal polynomials ...