Dr. Blahota István

Beosztás: főiskolai tanár
Szobaszám: E105
Telefonszám: (42) 599-400/2172
E-mail: blahota at nyf.hu
fogadó óra: Szerda 13.30-14.30
saját honlapja: http://zeus.nyf.hu/~blahota/
Dr. Blahota István szakmai önéletrajza
Kutatási területe: Analízis, Fourier sorok
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.