Curriculum vitae

Research papers

Editorial duties

Professional experience

International experience

Links to Web pages

Faton M. Berisha

Department of mathematics

Faculty of Mathematics and Sciences

University of Prishtina, KOSOVĖ

Email: prof@fberisha.org

Teaching

Research papers published in international journals:

  1. F. M. Berisha, M. H. Filipovic, On some transforms of trigonometric series, Publ. Inst. Math. 61 (75) (1997), Beograd, 53--60
    (pdf, arXiv:1208.5377v2 [math.NA], Journal, MR1472937 (98g:42012)).
  2. F. M. Berisha, On coincidence of classes of functions defined by the generalized modulus of smoothness and appropriate inverse theorem, Math. Montisnigri 9 (1998), Podgorica, 15-36 (pdf, arXiv:1208.5432v1 [math.FA], MR1657672 (99i:41021)).
  3. M. K. Potapov, F. M. Berisha, Approximation of classes of functions defined by a generalized k-th modulus of smoothness , East J. Approx. 4 (2)(1998), Sofia, 217--241
    (pdf, arXiv:1208.5754v1 [math.FA], MR1638345 (99g:41007)).
  4. M.Q. Berisha, F. M. Berisha, On monotone Fourier coefficients of a function belonging to Nikol'skii-Besov classes, Mathematica Montisnigri, 10 (1999), Podgorica, 5-20
    (pdf, arXiv:1208.6123v1 [math.CA], MR1723439 (2000j:42003)).
  5. M. K. Potapov, F. M. Berisha, Direct and inverse theorems of approximation theory for a generalised modulus of smoothness, Anal. Math. 25 (1999), no. 3, Budapest, 187--203
    (pdf, arXiv:1208.6328v1 [math.FA], Journal, MR1717821 (2000h:41009)).
  6. M. K. Potapov, F. M. Berisha, O svyazi mezhdu r-ym obobshchennym modulem gladkosti i nailuchshimi priblizheniyami algebraicheskimi mnogochlenami (Russian), Fundam. Prikl. Mat. 5 (1999), no. 2, Moskva, 563--587
    (pdf, arXiv:1208.6590v1 [math.FA], Journal, MR1803600 (2001j:41004)).
  7. M. K. Potapov, F. M. Berisha, O svyazi mezhdu nailuchshimi priblizheniyami algebraicheskimi mnogochlenami i r-ym obobshchennym modulem gladkosti (Russian), Metric theory of functions and related problems in analysis (1999), Moskva, 197--219, Izd. Nauchno-Issled. Aktuarno-Finans. Tsentra (AFTs) (dvi)
  8. M. K. Potapov, F. M. Berisha, O teoreme Dzheksona dlya modulya gladkosti opredelyaemogo nesimmetricheskim operatorom obobshchennogo sdviga (Russian), Vestnik MGU, ser. I Mat.-Mekh. 3 (2000), Moskva, 7--15
    (pdf, arXiv:1209.1273v1 [math.FA], MR1773750 (2001f:41016)).
  9. M. Q. Berisha, F. M. Berisha, A note on the inverse theorem for a generalised modulus of smoothness, Mat. Bilten 25 (51)(2001), Skopje, 91--96
    (pdf, arXiv:1209.1568v1 [math.FA], MR1894287).
  10. M. K. Potapov, F. M. Berisha, O svyazi mezhdu r-ym obobshchennym modulem gladkosti i nailuchshimi priblizheniyami algebraicheskimi mnogochlenami (Russian), Sovrem. Mat. Fundam. Napravl. 25 (2007), Moskva, 149--164
  11. M. K. Potapov, F. M. Berisha, On the connection between the best approximation by algebraic polynomials and the modulus of smoothness of order r, J. Math. Sci. (N. Y.) 155 (2008), New York, 153--169
  12. F. M. Berisha, M. Sadiku, On an Euler-Abel type transform of trigonometric series, Proceedings of IV Congress of the Mathematicians of Republic of Macedonia, (2010), Struga, 331--341.
  13. N. Sh. Berisha, F. M. Berisha, Approximating classes of functions defined by operators of differentiation or operators of generalised translation by means of algebraic polynomials, Int. Journal of Math. Analysis 6 (55)(2012), Ruse, 2709--2729.
    (pdf, arXiv:1207.7092v2 [math.FA], Journal).
  14. F. M. Berisha, N. Sh. Berisha Approximating classes of functions defined by a generalised modulus of smoothness, Mathematical Sciences And Applications E-Notes (MSAEN) 6 (2) (2013), Istanbul, 84–-89.
    (pdf, Journal).

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Participations in symposiums and scientific conferences:

  1. M. Q. Berisha, F. M. Berisha, On monotone Fourier coefficients for some classes of functions , International Congress on Mathematics, Zürich, Swiss, 1994, Abstracts of short comunications, 86.
  2. M. K. Potapov, F. M. Berisha, O sovpadenii nekotorykh klassov funktsii opredelyaemykh pri pomoshchi nesimmetricheskogo operatora obobshchennogo sdviga , International Conference "Approximation Theory and Harmonic Analysis," Tulya, Russia, 1998, Doklady i tezisy, 45.
  3. M. K. Potapov, F. M. Berisha, The theorem on approximation by algebraic polynomials of functions with given generalised modulus of smoothness , Trudy Mezhdunarodnoi konferencii "Funktsional'nye prostranstva; Differentsial'nye operatory; Problemy matematicheskogo obrazovaniya," Moskva, Rossia, 1998, T. 1, 212.
    (pdf, arXiv:1208.6040v1 [math.FA]).
  4. F. M. Berisha, M. Q. Berisha, Applying an Euler type transformation for accelerating the convergence of trigonometric series , Math/Chem/Comp/2002, International Course & Conference on the Interfaces among Mathematics, Chemistry and Computer Sciences, Dubrovnik, Croatia, 2002, Book of abstracts, 5.
  5. K. Hyseni, F. M. Berisha, Architecture and software design for simulation of specific processes, The 2-nd Opatija Meeting on Computational Solutions, Opatija, Croatia, 2007, Book of abstracts, 71.
  6. F. M. Berisha, M. Sadiku, On an Euler-Abel type transform of trigonometric series, IV Congress of the Mathematicians of Republic of Macedonia, Struga, Macedonia, 2008, Book of abstracts, 19.
  7. F. M. Berisha, N. Sh. Berisha, Approximating classes of functions defined by a generalised modulus of smoothness, 1st International Eurasian Conference on Mathematics Sciences and Applications (IECMSA), Prishtinė, Kosovo, 2012, Proceeding book, 54.
  8. F. M. Berisha, M. Sadiku, N. Sh. Berisha, On a method of accelerating convergence of series and its algorithm analysis, 1st International Western Balkans Conference of Mathematical Sciences (IWBCMS), Elbasan, Albania, 2013, Book of abstracts, 152.

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Research papers published in local journals:

  1. F. M. Berisha, On some transforms of trigonometric series, Bul. FSHMN 11 (1996), Prishtinė, 69-77
  2. F. M. Berisha, M. Q. Berisha, Sharpening of estimates of modulus of smoothness, Kėrkime, ASHAK, 5 (1997), Prishtinė, 67--75
  3. F. H. Berisha, F. M. Berisha, Karakteristikat strukturale tė funksioneve tė dhėna me anė tė pėrafrimit mė tė mirė me polinome algjebrike (Albanian), Kėrkime, ASHAK, 5 (1997), Prishtinė, 53--65
  4. F. M. Berisha, The evaluation of constants related to estimations of moduli of smoothness, Bul. FSHMN 12 (1998), Prishtinė, 7--22
  5. M. Q. Berisha, F. M. Berisha, Some weighted lp type inequalities about monotone sequences, Bul. i FSHMN 12 (1998), Prishtinė, 23--31
  6. M. Q. Berisha, F. H. Berisha, F. M. Berisha, Some properties of Fourier coefficients of a function belonging to the Besov classes, Bul.FSHMN 12 (1998), Prishtinė, 33--44
  7. F. M. Berisha, M. Q. Berisha, Note on estimates of Fourier coefficients of a function belonging to the fĪH(p, k,j) classes of Nikol'skii, Kėrkime, ASHAK, 6 (1998), Prishtinė, 111--122
  8. F. H. Berisha, F. M. Berisha, Teorema e drejtė nė teorinė e pėrafrimeve pėr pėrgjithėsimin e modulit tė vazhdueshmėrisė (Albanian), Kėrkime, ASHAK, 6 (1998), Prishtinė, 129--135
  9. F. M. Berisha, M. Q. Berisha, Disa veti tė funksioneve nga klasėt e Besov-it (Albanian), Kėrkime, ASHAK, 7 (1999), Prishtinė, 15--22
  10. M. Q. Berisha, F. M. Berisha, Evaluation of constants related to estimates of Fourier coefficients of a function fĪH(p, k,j), Kėrkime, ASHAK, 8 (2000), Prishtinė, 45--58
  11. F. M. Berisha, M. Q. Berisha, Jackson and its converse theorems for a generalised modulus of smoothness, Kėrkime, ASHAK, 8 (2000), Prishtinė, 79--96
  12. M. Q. Berisha, F. M. Berisha, Jackson theorem for a generalised $r$-th modulus of smoothness, Kėrkime, ASHAK, 9 (2001), Prishtinė, 89--116
  13. F. M. Berisha, M. Sadiku, On an Euler type transform operator, Kėrkime, ASHAK, 9 (2001), Prishtinė, 117--124
  14. F. M. Berisha, Sh. Lohaj, Theorem of coincidence of classes for a generalised modulus of smoothness, Kėrkime, ASHAK, 10 (2002), Prishtinė, 27--35
  15. F. M. Berisha, Xh. Krasniqi, On lacunary Fourier coefficients of a function belonging to Nikol'ski-Besov class N(r1, r2,l,q,[(p)\vec],b), Kėrkime, ASHAK, 11 (2003), Prishtinė, 153-161
  16. F. M. Berisha, Approximating the classes of functions defined by operators of differentiation or operators of generalised translation by means of algebraic polynomials I, Kėrkime, ASHAK, 12 (2004), Prishtinė, 21-32
  17. F. M. Berisha, Approximating the classes of functions defined by operators of differentiation or operators of generalised translation by means of algebraic polynomials II, Kėrkime, ASHAK, 13 (2005), Prishtinė, 101-105
  18. F. H. Berisha, F. M. Berisha, Klasa e funksioneve tė Besov-it dhe disa vlerėsime nė tė, Kėrkime, ASHAK, 13 (2005), Prishtinė, 107-114
  19. Xh. Krasniqi, F. M. Berisha, Njė pėrgjithėsim i klasave tė Lipschitz-it, Kėrkime, ASHAK, 13 (2005), Prishtinė, 124-130
  20. M. Q. Berisha, F. M. Berisha, Klasa e funksioneve tė Nikolski-t dhe vlerėsime nė tė, Kėrkime, ASHAK, 14 (2006), Prishtinė, 7--14
  21. F. M. Berisha, Approximating the classes of functions defined by operators of differentiation or operators of generalised translation by means of algebraic polynomials III, Kėrkime, ASHAK, 14 (2006), Prishtinė, 15--24
  22. M. Q. Berisha, F. M. Berisha, Vlerėsimi i koeficientėve Fourier tė klasės sė funksioneve tė tipit B(p, q, a), Kėrkime, ASHAK, 15 (2007), Prishtinė, 7--23
  23. F. M. Berisha, Approximating the classes of functions defined by operators of differentiation or operators of generalised translation by means of algebraic polynomials IV, Kėrkime, ASHAK, 15 (2007), Prishtinė, 25--32

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Professional books and papers:

  1. M. Q. Berisha, A. Zejnullahu, F. M. Berisha, Matematika pėr klasėn I tė shkollave tė mesme (pėrveē gjimnazit), Enti tekst. mjet. mės. i Kosovės, Prishtinė, 1997.
  2. M. Q. Berisha, F. M. Berisha, Matematika pėr klasėn IV tė shkollave tė mesme (pėrveē gjimnazit), Libri shkollor, Prishtinė, 1998.
  3. F. M. Berisha, M. Kadriu, Pėrmbledhje detyrash nga matematika pėr klasėn III tė shkollave tė mesme, Libri shkollor, Prishtinė, 1999.
  4. M. Q. Berisha, F. M. Berisha, F. H. Berisha Analizė me teori tė gjasės pėr klasėn e X -- gjimnazi matematikė-informatikė, Libri shkollor, Prishtinė, 2004.
  5. E. Hamiti, F. M. Berisha, F. H. Berisha Algjebėr me gjeometri pėr klasėn e X -- gjimnazi matematikė-informatikė, Libri shkollor, Prishtinė, 2004.
  6. F. H. Berisha, F. M. Berisha, Matematika pėr klasėn e XI -- gjimnazi i shkencave natyrore, gjimnazi i pėrrgjithshėm, gjimnazi i shkencave shoqėrore, Libri shkollor, Prishtinė, 2005.
  7. M. Q. Berisha, F. M. Berisha, Mosbarazitė dhe mosbarazimet: Doracak pėr nxėnės tė shkollave tė mesme, Libri shkollor, Prishtinė, 2005.
  8. F. H. Berisha, M. Q. Berisha, F. M. Berisha, Analizė me teori tė gjasės pėr klasėn e XII -- gjimnazi matematikė-informatikė, Libri shkollor, Prishtinė, 2005.
  9. M. Q. Berisha, F. H. Berisha, F. M. Berisha, Matematika pėr klasėn e XII -- gjimnazi i shkencave natyrore, gjimnazi i pėrrgjithshėm, Libri shkollor, Prishtinė, 2005.
  10. F. M. Berisha, M. Q. Berisha, Matematikė -- pėr biznes dhe ekonomiks, Universiteti "Iliria", Prishtinė, 2006.

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Editorial duties:

  • 2013--  Editorial board member, Journal of Advanced Research in Applied Mathematics (JARAM), Irvine, CA, USA

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Professional experience:

  • 2004--  Fac. Math. Sci., Univ. Prishtina, full professor;
  • 2003--  South East European University, Tetove, Macedonia, visiting professor;
  • 2007--  University "Business", Prishtina, visiting professor;
  • 1998--  University of Tetova, Macedonia, visiting professor.
  • 2007 American University in Kosovo, Prishtina, visiting professor;
  • 2006--2007 FON, Shkup, Struga, Macedonia, visiting professor.
  • 2008 International University of Struga, Macedonia, visiting professor.
  • 2008--2009 University AAB, Prishtina, visiting professor;
  • 2004--2005 University for Business and Technology (IEME), Prishtina, visiting professor;
  • 2001--2003 Vice Dean of the Fac. Math. Sci., Univ. Prishtina;
  • 1999--2004 Fac. Math. Sci., Univ. Prishtina, assistant professor;

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International experience:

  • 1997--1998 Moscow State University, Russia (Phd thesis).
  • May--June 2001 University of La Rochelle, France (seminary presentation).
  • March--May 2002 University of Jena, Germany (study visit, seminary presentation).

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Links to Web pages