An attempt has also been made to obtain a necessary and sufficient condition for the convergence of Fourier series of a function in a certain subspace of L .doi:10.1007/BF02771081Prem ChandraSpringer NetherlandsAnalysis MathematicaPrem Chandra, Necessary conditions for the convergence of Lebesgue-...
Yu Protasov on the convergence of simple partial fractions. It says that Protasov obtained a sufficient condition which is important in assuming poles lie in some angle with C fixed. It mentions that the study aims to derive the condition for the convergence of the series...
We extend the results of paper of F.Móricz (2010), where necessary conditions were given for the L1-convergence of double Fourier series. We also give necessary and sufficient conditions for the L1-convergence under appropriate assumptions. This is a preview of subscription content, log in via...
A generalization of a classical necessary condition for convergence of continued fractions 来自 Semantic Scholar 喜欢 0 阅读量: 15 作者:R Heller,FA Roach 摘要: One of the most frequently cited necessary conditions for convergence of continued fractions is the divergence of a particular series. In ...
Thus, sufficient conditions gradually approach necessary conditions. A typical classical example of this type of investigation are studies on convergence conditions for series. The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved....
Given a continuous real-valued function f which vanishes outside a fixed finite interval, we establish necessary conditions for weighted mean convergence of Lagrange interpolation for a general class of even weights w which are of exponential decay on the real line or at the endpoints of (−1...
A Necessary and Sufficient Condition for Uniform Convergence of Function Sequence 来自 Semantic Scholar 喜欢 0 阅读量: 24 作者: JP Zhang 摘要: The uniform convergence criterion for the analysis of the nature of function sequence is very important,Dini discrimination is a common law judge,but ...
2.The several necessary and sufficient conditions of Lebesgue integral;Lebesgue积分的几个充要条件 3.A Sufficient Condition about Convergence Uniform of Function and a Sufficient and Necessary Condition about Convergence of Positive Series;函数列一致收敛的一个充分条件和正项级数收敛的一个充要条件 4.Study...
In this paper, we prove a Halpern-type strong convergence theorem for nonexpansive mappings in a Banach space whose norm is uniformly Gâteaux differentiable. Also, we discuss the sufficient and necessary condition about this theorem. This is a partial answer of the problem raised by Reich in ...
prime factors of its degree over are Fermat primes; by computing some ray class groups, we give many examples where this necessary condition is not ... B Cais,B Conrad - 《Journal Fur Die Reine Und Angewandte Mathematik》 被引量: 33发表: 2006年 On the Convergence of Series of Reciproca...