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- W4386907736 abstract "For a continuous function 1 over R2+ := [1,?) ? [1,?), we denote its integral over [1, x] ? [1, y] by h(x, y) = R x 1 R y 1 1(u, v)dudv and its (C, 1, 1) mean, the average of h(x, y) over [1, x] ? [1, y], by t(h(x, y)) = (xy)?1 R x 1 R y 1 h(u, v)dudv. Analogously, the other means (C, 1, 0) and (C, 0, 1) can be defined. In this paper, we introduce the concept of regularly generated double integrals in senses (1, 1), (1, 0) and (0, 1) and obtain Tauberian conditions in terms of the regularly generated double integrals in senses (1,1), (1,0) and (0,1) under which convergence of h(x, y) follows from that of t(h(x,y))." @default.
- W4386907736 created "2023-09-21" @default.
- W4386907736 creator A5052277732 @default.
- W4386907736 date "2023-01-01" @default.
- W4386907736 modified "2023-09-27" @default.
- W4386907736 title "Tauberian theorems for the Cesàro summability method of regularly generated double integrals" @default.
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- W4386907736 doi "https://doi.org/10.2298/fil2309969f" @default.
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