级数sum from n=1 to ∞(n~βa_n~γ(f)φ_n~γ(x))绝对收敛性

Absolute Convergence of Series sum from n=1 to ∞(n~βa_n~γ(f)φ_n~γ(x))

文献 [1 ]针对多种情况 ,证明了Walch Fourier级数和级数∑∞n=0aγn( f) φγn(x)的绝对收敛性。本文对此进一步讨论 ,开拓了文献 [1 ]的结果。

Essayproved the absolute convergence o f Walch-Fourier series and ∑∞n=0a~γ_n(f)φ~γ_n(x) serie s based on different situations. After further discussions, this essay develope d the results of .