Geodesic
Some Tauberian theorems for Cesàro summability of double integrals over R2+
Filomat, Tome 35 (2021) no. 15, p. 5279

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DOI

In this paper, we obtain one-sided and two-sided Tauberian conditions of Landau and Hardy types for (C, 1, 0) and (C, 0, 1) summability methods for improper double integrals under which convergence of improper double integrals follows from (C, 1, 0) and (C, 0, 1) summability of improper double integrals. We give similar results for (C, 1, 1) summability method of improper double integrals. In general, we obtain Tauberian conditions in terms of the concepts of slowly decreasing (resp. oscillating) and strong slowly decreasing (resp. oscillating) functions in different senses for Cesàro summability methods of real or complex-valued locally integrable functions on [0, ∞) × [0, ∞) in different senses
DOI : 10.2298/FIL2115279F
Classification : 40B05, 40E05
Keywords: One-sided and two-sided Tauberian conditions, improper double integrals, Cesàro summability (C, 1, 1), (C, 1, 0) and (C, 0, 1), convergence in Pringsheim’s sense, slow decrease and strong slow decrease in different senses, slow oscillation and strong slow oscillation in different senses 
Gökşen Fındık; Íbrahim Çanak. Some Tauberian theorems for Cesàro summability of double integrals over R2+. Filomat, Tome 35 (2021) no. 15, p. 5279 . doi: 10.2298/FIL2115279F
@article{10_2298_FIL2115279F,
     author = {G\"ok\c{s}en F{\i}nd{\i}k and \'Ibrahim \c{C}anak},
     title = {Some {Tauberian} theorems for {Ces\`aro} summability of double integrals over {R2+}},
     journal = {Filomat},
     pages = {5279 },
     year = {2021},
     volume = {35},
     number = {15},
     doi = {10.2298/FIL2115279F},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2115279F/}
}
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