Faton Berisha

Education

• Oct 1995 - Oct 1998: PhD of Mathematical Sciences
  Faculty: Faculty of Mathematics and Sciences
  University of Prishtina, Prishtina, Kosovo
  Specialty: Approximation Theory
  Thesis: "Applying generalised moduli of smoothness for approximating functions by algebraic polynomials in weighed Jacobi metrics"
  
  
• Oct 1993 - Jun 1995: Master of Mathematical Sciences
  Faculty: Faculty of Mathematics and Sciences
  University of Prishtina, Prishtina, Kosovo
  Specialty: Fourier Analysis
  Thesis: "Applying best approximation and modulus of smoothness to estimates of Fourier coefficients of an even function"
  
  
• Oct 1987 - Jun 1991: Professor of Mathematics
  Faculty: Faculty of Mathematics and Sciences
  University of Prishtina, Prishtina, Kosovo
  Specialty: Theoretical Mathematics
  
  

Publications

• F. M. Berisha, M. Sadiku. On an Euler-Abel type transform of trigonometric series. In Proceedings, pp. 331-341. IV Congress of the Mathematicians of Republic of Macedonia, Struga, Skopje, Macedonia, 12 / 2010.
  
  
• M. K. Potapov, F. M. Berisha. On a relation between best approximations by algebraic polynomials and the r-th generalized modulus of smoothness. In Sovrem. Mat. Fundam. Napravl. 25, pp. 149-164. Sovremennaya Matematika. Fundamentalnye Napravleniya, Moscow, Russia, 11 / 2007. ISBN MRNUMBER MR2342544. (Download)
  
  
• M. Q. Berisha, F. M. Berisha. A note on the inverse theorem for a generalised modulus of smoothness. In Mat. Bilten 25, pp. 91-96. Matematichki Bilten. Bulletin Mathematique de la Societe des Mathematiciens de R. Macedoine, Skopje, Macedonia, 10 / 2001. ISBN ISSN 0351-336X. (Download)
  
  
• M. K. Potapov, F. M. Berisha. On Jackson's theorem for the modulus of smoothness determined by a nonsymmetric generalized shift operator. In Vestnik Moskov. Univ. Ser. I Mat. Mekh. 3, pp. 7-15. Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika, Moscow State University, Moscow, Russia, 3 / 2000. ISBN ISSN 0201-7385. (Download)
  
  
• M. K. Potapov, F. M. Berisha. On a connection between the r-th generalized modulus of smoothness and the best approximations by algebraic polynomials. In Fundam. Prikl. Mat. 5 (2), pp. 563-587. Fundamentalnaya i Prikladnaya Matematika, Moscow State University, Moscow, Russia, 11 / 1999. ISBN ISSN 1560-5159. (Download)
  
  
• M. K. Potapov, F. M. Berisha. Direct and inverse theorems of approximation theory for a generalized modulus of smoothness. In Anal. Math. 25 (3), pp. 187-203. Analysis Mathematica, Budapest, Hungary, 6 / 1999. ISBN ISSN 0133-3852. (Download)
  
  
• M. Q. Berisha, F. M. Berisha. On monotone Fourier coefficients of a function belonging to Nikol'skii-Besov classes. In Math. Montisnigri 10, pp. 5-20. Mathematica Montisnigri. Matematika Tsrne Gore, Podgorica, Montenegro, 4 / 1999. ISBN ISSN 0354-2238. (Download)
  
  
• M. K. Potapov, F. M. Berisha. On a relation between best approximations by algebraic polynomials and the $r$th generalized modulus of smoothness. In Metric theory of functions and related problems in analysis, pp. 197-219. Izd. Nauchno-Issled. Aktuarno-Finans. Tsentra (AFTs), Moscow, Russia, 2 / 1999. ISBN MRNUMBER 2001g:41008. (Download)
  
  
• M. K. Potapov, F. M. Berisha. Approximation of classes of functions defined by a generalized $k$-th modulus of smoothness. In East J. Approx. 4 (2), pp. 217-241. East Journal on Approximations, Sofia, Bulgaria, 5 / 1998. ISBN ISSN 1310-6236. (Download)
  
  
• F. M. Berisha. On coincidence of classes of functions defined by the generalized modulus of smoothness and appropriate inverse theorem. In Math. Montisnigri 9, pp. 15-36. Mathematica Montisnigri. Matematika Tsrne Gore, Podgorica, Montenegro, 3 / 1998. ISBN ISSN 0354-2238. (Download)
  
  
• F. M. Berisha, M. H. Filipovic. On some transforms of trigonometric series. In Publ. Inst. Math. (Beograd) (N.S.) 61(75), pp. 53--60. Institut Mathematique. Publications. Nouvelle Serie, Beograd, Serbia, 10 / 1997. ISBN ISSN 0350-1302. (Download)
  
  

Work Experience

• Oct 2004 - Present : Full Professor
  University of Prishtina, Prishtina, Kosovo
  Type of business or sector: Education and Research
  
  
• Oct 2003 - Present : Full Professor
  South East European University, Tetovo, Macedonia
  Type of business or sector: Education and Research
  Main responsibilities: Part time
  
  
• Sep 2007 - Jun 2007: Full Professor
  American University in Kosovo, Prishtina, Kosovo
  Type of business or sector: Education and Research
  Main responsibilities: Part time
  
  
• Oct 1999 - Oct 2004: Assistant Professor
  University of Prishtina, Prishtina, Kosovo
  Type of business or sector: Education and Research
  
  
• Oct 1996 - Oct 1999: Teaching Assistent
  University of Prishtina, Prishtina, Kosovo
  Type of business or sector: Education and Research
  Main responsibilities: Full time
  
  
• Oct 1991 - Oct 1996: Professor of High School
  University of Prishtina, Prishtina, Kosovo
  Type of business or sector: Education and Research