Mihaela Ribičić Penava 

Associate Professor
Department of Mathematics
Josip Juraj Strossmayer University of Osijek
Trg Ljudevita Gaja 6
Osijek, HR-31000, Croatia¸
phone: +385-31-224-823
fax: +385-31-224-801
email:  mihaela @ mathos.hr
office:  20 (first floor)

 


Research Interests

Mathematical Inequalities and Applications

Degrees

  • PhD, 2009, Department of Mathematics, University of Zagreb
  • MSc, 2005, Department of Mathematics, University of Zagreb
  • BSc, 2001, Department of Mathematics, University of Osijek

 


Publications

Journal Publications

  1. J. Pečarić, M. Ribičić Penava, Bounds for the Chebyshev functional and corrected four-point quadrature formulae of Euler type, Asian-European Journal of Mathematics 9/4 (2016), 1-12
  2. J. Pečarić, M. Ribičić Penava, A. Vukelić, Bounds for the Chebyshev functional and applications to the weighted integral formulae, Applied mathematics and computation 268 (2015), 957-965
  3. K.M. Awan, J. Pečarić, M. Ribičić Penava, Companion inequalities to Ostrowski-Grϋss type inequality and applications, Turkish Journal of Mathematics 39 (2015), 228-234
  4. K.M. Awan, J. Pečarić, M. Ribičić Penava, New estimations of the remainder in three-point and four-point quadrature formulae via the Chebyshev functional, Proceedings of A. Razmadze Mathematical Institute 167 (2015), 3-18
  5. M. Klaričić Bakula, J. Pečarić, M. Ribičić Penava, A. Vukelić, New estimations of the remainder in three-point quadrature formulae of Euler type, Journal of Mathematical Inequalities 9/4 (2015), 1143-1156
  6. M. Klaričić Bakula, J. Pečarić, M. Ribičić Penava, A. Vukelić, Some Grϋss type inequalities and corrected three-point quadrature formulae of Euler type, Journal of Inequalities and Applications 76 (2015), 1-14
  7. M. Klaričić Bakula, J. Pečarić, M. Ribičić Penava, General quadrature formulae based on the weighted Montgomery identity and related inequalities, Rad HAZU, Matematičke znanosti. 17 (2013), 139-150
  8. J. Pečarić, M. Ribičić Penava, Sharp integral inequalities based on a general four-point quadrature formula via a generalization of the Montgomery identity, International Journal of Mathematics and Mathematical Sciences 2012 (2012)
  9. J. Pečarić, M. Ribičić Penava, Sharp integral inequalities based on general three-point formula, Annals of the University of Craiova, Mathematics and Computer Science Series 39/2 (2012), 132-147
  10. M. Klaričić Bakula, M. Ribičić Penava, General four-point quadrature formulae with applications for α-L-Hölder type functions , Journal of Mathematical Inequalities 3/3 (2009), 427-436
  11. A. Aglić Aljinović, J. Pečarić, M. Ribičić Penava, Sharp integral inequalities based on general two-point formula via an extension of Montgomery identity, ANZIAM Journal 51/01 (2009), 67-101
  12. J. Pečarić, M. Ribičić Penava, A. Vukelić, Euler's method for weighted integral formulae, Applied mathematics and computation 206/1 (2008), 445-456
  13. M. Klaričić Bakula, J. Pečarić, M. Ribičić Penava, General three-point quadrature formulae with applications for α-L-Hölder type functions , Journal of Mathematical Inequalities 2/3 (2008), 343-361
  14. M. Klaričić Bakula, J. Pečarić, M. Ribičić Penava, Companion inequalities to Jensen's inequality for m-convex and (α,m)-convex functions , Journal of Inequalities in Pure and Applied Mathematics 7/5 (2006), 1-32


Refereed Proceedings

  1. D. Jukić, D. Marković, M. Ribičić Penava, A. Krajina, On the choice of initial approximation of the least squares estimate in some growth models of exponential type, 9th International Conference on Operational Research KOI 2002, Trogir, 2002, 47-55


Others

  1. M. Ribičić Penava, K. Bošnjak, Jensenova nejednakost i nejednakosti izvedene iz nje, Osječki matematički list 16/1 (2016), 15-25
    U ovom radu prezentiran je težinski oblik diskretne Jensenove nejednakosti te je pokazano kako iz Jensenove nejednakosti slijedi čitav niz drugih važnih nejednakosti kao što su nejednakosti međžu sredinama, Youngova nejednakost, Cauchyjeva nejednakost, Hölderova nejednakost te nejednakost Minkowskog.
  2. M. Ribičić Penava, D. Škrobar, Gama i beta funkcije, Osječki matematički list 15/2 (2015), 93-111
    U ovom radu prezentirana su neka osnovna svojstva gama i beta funkcija te iskazan Bohr-Mollerupov teorem. Osim toga, razmatrane su primjene gama i beta funkcija pri računanju integrala koje nije moguće izračunati uobičajenim metodama.


Books

  1. A. Aglić Aljinović, A. Čivljak, S. Kovač, J. Pečarić, M. Ribičić Penava, General Integral Identities and Related Inequalities, Element, Zagreb, 2013.



Projects

  • Inequalites and Aplications

      Project leader: prof.dr.sc. Josip Pečarić, University of Zagreb. Project was founded in 2014 by Croatian Science  Foundation (5435).

  • Various aspects of parameter estimation problem in nonlinear mathematical models, Ministry of Science, Education and Sports (2007-2013).  Project leader: prof.dr.sc. Dragan Jukić

  • Statistical aspects of parameter identification problems, Ministry of Science, Education and Sports (2001-2006)

      Project leader: prof.dr.sc. Mirta Benšić

 

 

           


Professional Activities

Committee Membership 

Innovative Teaching of Matematics - National Meeting of Math Teachers, 25-26 August 2016, Osijek, Croatia

  • Member of the Organizing Committee

 

Refereeing/Reviewing

Journal of Mathematical Inequalities

Asian-European Journal of Mathematics

Osječki matematički list

 

Service Activities

Festival znanosti 2016. 

  • Umjetnost fraktala
Zimska matematička škola (Winter math school) 2013-2014:
  • Jensenova nejednakost

 

 

 


Teaching

Konzultacije (Office Hours): Četvrtak (Thu) 11:30am-14:00pm. Konzultacije su moguće i po dogovoru.

Prijedlog tema završnih i diplomskih radova.

Teaching experience

List of courses taught: Matematika I (Prehrambeno-tehnološki fakultet), Matematika II (Prehrambeno-tehnološki fakultet), Statistika (Učiteljski fakultet).


Personal

 

  • Birthdate: June 10, 1978
  • Birthplace: Požega
  • Citizenship: Croatian
  • Family: Married, daughter Klarisa