摘要
We discuss the relations among the best approximation En(f) and the Fourier coeffcients of a function, f(n) ∈ C,n = 0,±1,±2,..., under the conditions that {f (n)}∞n=0 ∈ MVBVS* and {f (n) + f(n)}∞n=0 ∈ MVBVS*, where MVBVS* is the class of the so-called Strong Mean Value Bounded Variation Sequences.
We discuss the relations among the best approximation En(f) and the Fourier coeffcients of a function, f(n) ∈ C,n = 0,±1,±2,..., under the conditions that {f (n)}∞n=0 ∈ MVBVS* and {f (n) + f(n)}∞n=0 ∈ MVBVS*, where MVBVS* is the class of the so-called Strong Mean Value Bounded Variation Sequences.
作者
YU DanSheng1,2, ZHOU Ping2 & ZHOU SongPing1 1 Institute of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China 2 Department of Mathematics, Statistics and Computer Science, St. Francis Xavier University, Antigonish, Nova Scotia, Canada, B2G 2W5
基金
NSERC RCD grant and AARMS of Canada (Yu D S)
by NSERC of Canada(Zhou P)
by the National Natural Science Foundation of China (Grant No. 10471130)
the Open Fund(Grant No. PLN0613) of State Key Laboratory of Oil
Gas Reservoir Geology and Exploitation (Southwest Petroleum University) (Zhou S P)
