Dr. Blahota István

Publikációs lista:

• Blahota, I., Approximation by Vilenkin-Fourier sums in Lp(Gm), Acta Academiae Paedagogicae Nyíregyháziensis, 13/D. 1992. 35-39.

• Blahota, I., Example for an almost even arithmetical function, the Vilenkin-Fourier series of which diverges everywhere, Acta Academiae Paedagogicae Nyíregyháziensis, 13/D, 1992. 41-45.

• Blahota, I., Sarkadi, D., On an equality of type Hardy-Littlewood with respect to Vilenkin-like systems, Acta Academiae Paedagogicae Nyíregyháziensis 13/D, 1992. 51-55.

• Blahota, I., On a theorem of Fridli and Simon with respect to some Vilenkin-like systems, Bulletins for Applied Mathematics, LXV, 1993. 231-238.

• Blahota, I., Relation between Dirichlet kernels with respect to Vilenkin-like systems, Acta Academiae Paedagogicae Agriensis, XXII, 1994. 109-114.

• Blahota, I., A Walsh-Vilenkin analízis néhány approximációs kérdése és alkalmazása, PhD-thesis (Egyetemi doktori értekezés), KLTE, 1995. 42 o.

• Blahota, I., A Hardy-Littlewood-like inequality on compact totally disconnected spaces, Acta Mathematica Academaiae Paedagogicae Nyíregyháziensis Vol. 14, 1998. 19-24.

• Blahota, I., On the (H,L) typeness of the maximal function of Cesáro means of two-parameter integrable functions on bounded Vilenkin groups, Publicationes Mathematicae Debrecen, 54/3-4, 1999. 417-426.

• Blahota, I., Gát, Gy., Pointwise convergence of double Vilenkin-Fejér means, Studia Scientarium Mathematica Hungarica, 36, 2000. 49-63.

• Blahota, I., On a norm inequality with respect to Vilenkin-like systems, Acta Mathematica Hungarica 89 (1-2), 2000. 15-27.

• Blahota, I., Investigation with respect to the two-dimensional Vilenkin space, Functions, Series, Operators (L. Leindler, F. Schipp, J. Szabados, eds.) Budapest, 2002, 139-156.

• Blahota, I., Vilenkin-rendszerekkel kapcsolatos approximációs kérdések vizsgálata, Doktori (PhD) értekezés (PhD thesis in Hungarian), Debreceni Egyetem (University of Debrecen), Természettudományi Kar, 2002. 78 o.

• Blahota, I., Gát, G., Goginava, U., Maximal operators of Fejér means of double Vilenkin-Fourier series, Colloquium Mathematicum, 107, no. 2, 2007. 287-296.

• Blahota, I., Gát, G., Norm summability of Nörlund logarithmic means on unbounded Vilenkin groups, Analysis in Theory and Applications, 24 (1), 2008, 1-17.

• Blahota, I., Goginava, U., The maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series, Studia Scientiarum Mathematicarum Hungarica, 45 (3), 2008.

• Blahota, I., Goginava, U., Gát, G., Maximal operators of Fejér means of Vilenkin Fourier series, Journal of Inequalities in Pure and Applied Mathematics, 7 (4), 2008.

• Blahota, I., Gát, G., Almost everywhere convergence of Marcinkiewicz means of Fourier series on the group of 2-adic integers, Studia Mathematica, 191 (2009), 215-222.

• Blahota, I., Goginava, U., The martingale Hardy type inequality for the maximal operator of the (C,alpha) means of cubic partial sums of the d-dimensional Walsh-Fourier series, Mathematica Pannonica, 21/1 (2010) 65-76.

• Blahota, I., On the maximal value of Dirichlet and Fejér kernels with respect to the Vilenkin-like space, Publicationes Mathematicae Debrecen, 80/3-4 (2012), 503-513.

• Blahota, I., On the L1 norm of the weighted maximal function of kernels with respect to the Vilenkin-like space, Mathematica Pannonica, 23/1, 2012, 1-9.

• Blahota, I., Almost everywhere convergence of subsequence of logarithmic means of Fourier series on the group of 2-adic integers, Georgian Mathematical Journal, 19/3, 2012, 417-425.