Onder, ZerrinCanak, Ibrahim2021-05-032021-05-0320200354-51800354-5180https://doi.org/10.2298/FIL2013489Ohttps://hdl.handle.net/11454/70391Let (u(mu nu)) be a double sequence of real or complex numbers which is (C,1,1) summable to a finite limit. We obtain some Tauberian conditions of slow decreasing or oscillating types in terms of the generator sequences in certain senses under which P-convergence of a double sequence (u(mu nu)) follows from its (C,1,1) summability. We give Tauberian theorems in which Tauberian conditions are of Hardy and Landau types as special cases of our results. We present some Tauberian conditions in terms of the de la Vall ee Poussin means of double sequences under which P-convergence of a double sequence (u(mu nu)) follows from its (C,1,1) summability. Moreover, we give analogous results for (C,1,0) and (C,0,1) summability methods.en10.2298/FIL2013489Oinfo:eu-repo/semantics/openAccessconvergence in Pringsheim's sensedouble sequencesgenerator sequencesone-sided Tauberian conditionstwo-sided Tauberian conditionsslowly decreaseslow oscillationstrong slow decreasestrong slow oscillationTauberian theorems(C,1,1)(C,1,0) and (C,0,1) summability methodsArticle341344894511WOS:0006296510000202-s2.0-85103251573Q3Q3