Móricz, Ferenc Statistical limits of measurable functions. (English) Zbl 1062.40007 Analysis, München 24, No. 1, 1-18 (2004). The concept of statistical limit at infinity of a measurable real or complex valued function is introduced, as the analogous nondiscrete correspondent of the well-known concept of statistical convergence of a sequence of numbers. Then, various applications of this concept are considered, amongst them the statistical convergence of Fourier transforms. Reviewer: Vasile Berinde (Baia Mare) Cited in 2 ReviewsCited in 18 Documents MSC: 40C10 Integral methods for summability 40C15 Function-theoretic methods (including power series methods and semicontinuous methods) for summability 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type Keywords:statistical limit at infinity; strong \(p\)-Cesàro summability; locally integrable function; Fourier transform; Dirichlet integral PDFBibTeX XMLCite \textit{F. Móricz}, Analysis, München 24, No. 1, 1--18 (2004; Zbl 1062.40007) Full Text: DOI