ARK 发表于 2025-3-23 10:33:21
Summability Methods for Random Variables,Let (..) be a sequence of independent, identically distributed (i.i.d.) random variables with . | .. | < . and .. = ., . = 1, 2, .. Let . = (..) be a Toeplitz matrix, i.e., the conditions (1.3.1)–(1.3.3) of Theorem 1.3.3 are satisfied by the matrix . = (..). Since . the series . converges absolutely with probability one.Ornithologist 发表于 2025-3-23 16:52:18
Matrix Summability of Fourier and Walsh-Fourier Series,In this chapter we apply regular and almost regular matrices to find the sum of derived Fourier series, conjugate Fourier series, and Walsh-Fourier series (see and ). Recently, Móricz has studied statistical convergence of sequences and series of complex numbers with applications in Fourier analysis and summability.Tractable 发表于 2025-3-23 20:24:11
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https://doi.org/10.1007/978-3-642-80463-2. In , Moricz mentioned that Henry Fast first time had heard about this concept from Steinhaus, but in fact it was Antoni Zygmund who proved theorems on the statistical convergence of Fourier series in the first edition of his book where he used the term “almost convergence” iantedate 发表于 2025-3-25 02:08:45
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