Aras Gazić Gorana

docent

Područje / smjer:
Prirodne znanosti / matematika

Biografija:
1981.: Rođena u Zadru
1996.-2000.: Gimnazija Jurja Barakovića, Zadar
2005.: Prof. mat. i inf., PMF, Sveučilište u Splitu
2016.: Doktor znanosti, PMF – Matematički odsjek, Poslijediplpmski doktorski studij matematike, Sveučilište u Zagrebu
2005.-2008.: Profesorica matematike, III. Gimnaziji Split
2008.-2012.: Asistent, Fakultet građevinarstva, arhitekture i geodezije, Sveučilište u Splitu
2012.-2014.: Profesorica matematike i informatike, Srednja škola Jelkovec, Sesvete
2014.-2016.: Asistent, Arhitektonski fakultet, Sveučilište u Zagrebu
2016.: Poslijedoktorand, Arhitektonski fakultet, Sveučilište u Zagreb

Članstva u organizacijama:
Hrvatsko društvo za geometriju i grafiku
Hrvatsko matematičko društvo

Sudjelovanje na istraživačkim i stručnim projektima i radionicama:

  1. Značaj industrije u kontekstu hrv. moderne arhitekture - voditeljica Z. Barišić Marenić, Arhitektonski fakultet, Sveučilište u Zagrebu (2018.)
  2. Modeli geometrije i topologije i njihova primjena- voditeljica doc. dr. sc. M. Šimić Horvath,  Arhitektonski fakultet, Sveučilište u Zagrebu (2016.)
  3. Nejednakosti za neke klase konveksnih funkcija - voditeljica izv. prof. dr. sc. Jadranka Mićić Hot, Fakultet strojarstva i brodogradnje, Sveučilište u Zagrebu (2015.)
  4. Nejednakosti za neke klase konveksnih funkcija - voditeljica prof. dr. sc. Ana Vukelić, Prehrambeno biotehnološki fakultet, Sveučilište u Zagrebu (2014.)

Znanstveni radovi u časopisima i zbornicima:

  1. Aras-Gazić, G., Pečarić, J. & Vukelić, A. (2017) Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Lidstone's polynomial and majorization theorem. Journal of numerical analysis and approximation theory, 46 (1),  6-24.
  2. Aras-Gazić, G., Pečarić, J. & Vukelić, A. (2016) Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Hermite's polynomial and majorization theorem. Advanes in Mathematis: Scientific Journal, 5 (2),  191-209.
  3. Aras-Gazić, G., Pečarić, J. & Vukelić, A. (2016) Cauchy’s error representation of Hermite interpolating polynomial and related results. Mathematical inequalities & applications, 19 (4),  1349-1362.
  4. Aras-Gazić, G., Pečarić, J. & Vukelić, A. (2016) Integral error representation of Hermite interpolating polynomial and related inequalities for quadrature formulae. Mathematical Modelling and Analysis, 21,  836-851 doi:dx..org/10.3846/13926292.2016.1247755.
  5. Aras-Gazić, G., Čuljak, V., Pečarić, J. & Vukelić, A. (2015) Generalization of Jensen's inequality by Hermite polynomials and related results. Mathematical reports, 17 (2),  201-223.
  6. Aras-Gazić, G., Čuljak, V., Pečarić, J. & Vukelić, A. (2015) Cauchy's error representation of Lidstone interpolating polynomial and related results. Journal of mathematical inequalities, 9 (4),  1207-1225 doi:10.7153/jmi-09-93.
  7. Aras-Gazić, G., Pečarić, J. & Vukelić, A. (2014) Generalization of Jensen's inequality by Euler's identity and related results. Advanced Studies in Contemprorary Mathematics, 24 (2),  247-268.
  8. Aras-Gazić, G., Čuljak, V., Pečarić, J. & Vukelić, A. (2013) Generalization of Jensen's inequality by Lidstone's polynomial and related results. Mathematical inequalities & applications, 16 (4),  1243-1267.

Sažetci sa skupova:

  1. Aras-Gazić, G., Pečarić, J. & Vukelić, A. (2018) Interpolating polynomials and derived inequalities for convex functions. U:  Mathematical Inequalities and Applications 2018, Book of Abstracts. Zagreb, Hrvatska, str. 18-18.
  2. Šimić Horvath, M., Aras-Gazić, G. & Pažek, B. (2018) Shades and Shadows for Architecture and Design Students. U:  4th Croatian Conference on Geometry and Graphics, Book of Abstracts. Vodnjan (Peroj), Hrvatska, str. 54-54.
  3. Aras-Gazić, G., Pečarić, J. & Vukelić, A. (2016) Generalization of Jensen's inequality by Euler's identity and related results. U:  6th Croatian Mathematical Congress. Zagreb, str. 3-4.
  4. Čuljak, V., Aras-Gazić, G., Pečarić, J. & Vukelić, A. (2015) Generalization of Jensen's inequality by Abel- Gontscharoff interpolating polynomial and related results. U: Andrić, M., Klaričić Bakula, M. & Varošanec, S. (ur.) Book of Abstracts of the conference Mathematical Inequalities and Applications 2015. Mostar, Faculty of Science and Education, University of Mostar, str. 32-32.
  5. Aras-Gazić, G., Čuljak, V., Pečarić, J. & Vukelić, A. (2015) Generalization of Jensen's Inequality and its Converses by Lidstone's Polynomial and Majorization Theorem. U: Anastassiou, G. & Duman, O. (ur.) Applied Mathematics & Approximation Theory - AMAT 2015. Ankara, TOBB University of Economics and Technology, str. 39-39.
  6. Aras-Gazić, G., Pečarić, J. & Vukelić, A. (2015) Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Hermite polynomials and majorization theorem. U: Andrić, M., Tipurić-Spužević, S. & Varošanec, S. (ur.) Book of Abstracts of the conference Mathematical Inequalities and Applications 2015. Mostar, Faculty of Science and Education, University of Mostar, str. 21-21.
  7. Aras-Gazić, G., Pečarić, J. & Vukelić, A. (2015) Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities. U: Andrić, M., Tipurić-Spužević, S. & Varošanec, S. (ur.) Mathematical inequalities and application 2015 (MIA 2015). Mostar, Faculty of Science and Education, University of Mostar, Bosnia and Herzegovina, str. 75-75.
  8. Aras-Gazić, G., Pečarić, J. & Vukelić, A. (2015) Hermite interpolating polynomial and derived inequalities for the higher order convex function. U: Tuneski, N. (ur.) 11-th International Symposium on Geometric Function Theory and Applications. Skopje, Ss. Cyril and Methodius University in Skopje, str. 54-54.
  9. Aras-Gazić, G., Čuljak, V., Pečarić, J. & Vukelić, A. (2014) Cauchy's error representation of Lidstone interpolating polynomial and related results. U: Andrić, M., Klaričić Bakula, M. & Varošanec, S. (ur.) Mathematical Inequalities and Applications 2014, One Thousand Papers Conference, Book of Abstracts. Zagreb, Element, str. 23-23.
  10. Čuljak, V., Aras-gazić, G., Pečarić, J. & Vukelić, A. (2014) Generalization of Jensen's inequality by Hermite polynomials and related results. U: Páles, Z. (ur.) Conference on inequalities and applications’14 : Book of Abstracts. Debrecen, Institut of Mathematics University of Debrecen, str. 7-7.