[DOWNLOAD] "Several Theorems on [Lambda]-Summable Series (Report)" by O. Tammeraid, I. Meronen " Book PDF Kindle ePub Free
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eBook details
- Title: Several Theorems on [Lambda]-Summable Series (Report)
- Author : O. Tammeraid, I. Meronen
- Release Date : January 01, 2010
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 57 KB
Description
1 Introduction A sequence x = {[xi.sub.n]} is called bounded with the rapidity [lambda] = {[[lambda].sub.n]} (0 [[lambda].sub.n] [up arrow]) if [[lambda].sub.n] ([xi.sub.n]--[xi]) = O(1) with lim [xi.sub.n] = [xi]. A sequence x = {[xi.sub.n]} is called A-bounded by a matrix method A if Ax is A-bounded. G. Kangro [2] proved Tauberian remain- der theorem for the Riesz summability method A preserving A-boundedness (by the supposition AmA C mA), where