المؤلفون: Lee, Tuo-Yeong

مصطلحات موضوعية: keyword:multiple Fourier series, keyword:multiple cosine series, keyword:multiple sine series, msc:40B05, msc:42B05

وصف الملف: application/pdf

Relation: mr:MR2893976; zbl:Zbl 1250.42028; reference:[1] Boas, R. P.: Integrability Theorems for Trigonometric Transforms.Springer, Berlin (1967). Zbl 0145.06804, MR 0219973; reference:[2] Grafakos, L.: Classical Fourier analysis. Second edition.Graduate Texts in Mathematics 249. Springer (2008). MR 2445437; reference:[3] Hardy, G. H.: On the convergence of certain multiple series.Proc. Cambridge Philos. Soc. 19 (1916-1919), 86-95.; reference:[4] Lee, Tuo-Yeong: Proof of two conjectures of Móricz on double trigonometric series.J. Math. Anal. Appl. 340 (2008), 53-63. MR 2376137, 10.1016/j.jmaa.2007.08.010; reference:[5] Lee, Tuo-Yeong: Some convergence theorems for Lebesgue integrals.Analysis (Munich) 28 (2008), 263-268. Zbl 1156.40007, MR 2401157; reference:[6] Lee, Tuo-Yeong: A measure-theoretic characterization of the Henstock-Kurzweil integral revisited.Czech. Math. J. 58 (2008), 1221-1231. Zbl 1174.26005, MR 2471178, 10.1007/s10587-008-0081-0; reference:[7] Lee, Tuo-Yeong: Bounded linear functionals on the space of Henstock-Kurzweil integrable functions.Czech. Math. J. 59 (2009), 1005-1017. Zbl 1224.26026, MR 2563573, 10.1007/s10587-009-0070-y; reference:[8] Lee, Tuo-Yeong: Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series.(to appear) in Czech Math. J.; reference:[9] Móricz, F.: On the convergence in a restricted sense of multiple series.Anal. Math. 5 (1979), 135-147. MR 0539321, 10.1007/BF02059384; reference:[10] Móricz, F.: Some remarks on the notion of regular convergence of multiple series.Acta Math. Hungar. 41 (1983), 161-168. MR 0704536, 10.1007/BF01994074; reference:[11] Móricz, F.: On the $%7C C, \alpha >\frac{1}{2}$, $\beta >\frac{1}{2} %7C$-summability of double orthogonal series.Acta Sci. Math. (Szeged) 48 (1985), 325-338. MR 0810889; reference:[12] Móricz, F.: Integrability of double lacunary sine series.Proc. Amer. Math. Soc. 110 (1990), 355-364. MR 1021902, 10.1090/S0002-9939-1990-1021902-5; reference:[13] Móricz, F.: On the integrability of double cosine and sine series I.J. Math. Anal. Appl. 154 (1991), 452-465. MR 1088644, 10.1016/0022-247X(91)90050-A; reference:[14] Zygmund, A.: Trigonometric Series. Vol. I, II. Third edition.With a foreword by Robert A. Fefferman. Cambridge Mathematical Library. Cambridge University Press, Cambridge (2002). MR 1963498

الاتاحة: http://hdl.handle.net/10338.dmlcz/141649

المؤلفون: Das, Pratulananda, Bhunia, Santanu

مصطلحات موضوعية: keyword:double sequences, keyword:$\mu $-statistical convergence, keyword:divergence and Cauchy criteria, keyword:convergence, keyword:divergence and Cauchy criteria in $\mu $-density, keyword:condition (APO$_2)$, msc:40A05, msc:40A30, msc:40B05

وصف الملف: application/pdf

Relation: mr:MR2563584; zbl:Zbl 1224.40009; reference:[1] Balcerzak, M., Dems, K.: Some types of convergence and related Baire systems.Real Anal. Exchange 30 (2004), 267-276. MR 2127531, 10.14321/realanalexch.30.1.0267; reference:[2] Connor, J.: Two valued measure and summability.Analysis 10 (1990), 373-385. MR 1085803, 10.1524/anly.1990.10.4.373; reference:[3] Connor, J.: $R$-type summability methods, Cauchy criterion, $P$-sets and statistical convergence.Proc. Amer. Math. Soc. 115 (1992), 319-327. MR 1095221; reference:[4] Connor, J., Fridy, J. A., Orhan, C.: Core equality results for sequences.J. Math. Anal. Appl. 321 (2006), 515-523. Zbl 1092.40001, MR 2241135, 10.1016/j.jmaa.2005.07.067; reference:[5] Das, P., Malik, P.: On the statistical and $I$ variation of double sequences.Real Anal. Exchange 33 (2008), 351-364. MR 2458252, 10.14321/realanalexch.33.2.0351; reference:[6] Das, P., Kostyrko, P., Wilczyński, W., Malik, P.: $I$ and $I^{*}$-convergence of double sequences.Math. Slovaca 58 (2008), 605-620. Zbl 1199.40026, MR 2434680, 10.2478/s12175-008-0096-x; reference:[7] Dems, K.: On $I$-Cauchy sequences.Real Anal. Exchange 30 (2004), 123-128. MR 2126799; reference:[8] Fast, H.: Sur la convergence statistique.Colloq. Math. 2 (1951), 241-244. Zbl 0044.33605, MR 0048548, 10.4064/cm-2-3-4-241-244; reference:[9] Fridy, J. A.: On statistical convergence.Analysis 5 (1985), 301-313. Zbl 0588.40001, MR 0816582, 10.1524/anly.1985.5.4.301; reference:[10] Kostyrko, P., Šalát, T., Wilczyński, W.: $I$-Convergence.Real Anal. Exchange 26 (2000/2001), 669-686. MR 1844385; reference:[11] Móricz, F.: Statistical convergence of multiple sequences.Arch. Math. 81 (2003), 82-89. MR 2002719, 10.1007/s00013-003-0506-9; reference:[12] Muresaleen, Edely, Osama H. H.: Statistical convergence of double sequences.J. Math. Anal. Appl. 288 (2003), 223-231. MR 2019757, 10.1016/j.jmaa.2003.08.004; reference:[13] Nuray, F., Ruckle, W. H.: Generalized statistical convergence and convergence free spaces.J. Math. Anal. Appl. 245 (2000), 513-527. Zbl 0955.40001, MR 1758553, 10.1006/jmaa.2000.6778; reference:[14] Pringsheim, A.: Zur Theorie der zweifach unendlichen Zahlenfolgen.Math. Ann. 53 (1900), 289-321. MR 1511092, 10.1007/BF01448977; reference:[15] Savas, E., Muresaleen: {On statistically convergent double sequences of fuzzy numbers}.Information Sciences 162 (2004), 183-192. MR 2076238, 10.1016/j.ins.2003.09.005; reference:[16] Šalát, T.: On statistically convergent sequences of real numbers.Math. Slovaca 30 (1980), 139-150. MR 0587239; reference:[17] Schoenberg, I. J.: The integrability of certain functions and related summability methods.Amer. Math. Monthly. 66 (1959), 361-375. Zbl 0089.04002, MR 0104946, 10.2307/2308747

الاتاحة: http://hdl.handle.net/10338.dmlcz/140543

المؤلفون: Rhoades, Billy E.

مصطلحات موضوعية: msc:40B05, msc:40D25, msc:40F05

وصف الملف: application/pdf

Relation: mr:MR1647702; zbl:Zbl 0936.40003; reference:[1] MORICZ F.-RHOADES B. E.: DouЫe weighted mean methods equivalent to (C, 1,1).Publ. Math. Debrecen 47 (1995), 29-64. MR 1362270; reference:[2] SARIGÖL M. A.-BOR H.: On two summability methods.Math. Slovaca 43 (1993), 317-325. Zbl 0795.40006, MR 1241368

الاتاحة: http://hdl.handle.net/10338.dmlcz/136728