Mathematical researching

group leader

prof. Anita Matković, PhD

Biography · Publications · Teaching duties

associates

prof. Josipa Barić, PhD

Biography · Publications · Teaching duties

assist. prof. Ivančica Mirošević, PhD

Biography · Publications · Teaching duties

Marina Dajaković, PhD

Biography · Publications · Teaching duties

Dajana Dujić, MSc Math.

Biography · Publications · Teaching duties

Ivana Grgić

Biography · Publications · Teaching duties

Research topics

  1. Obtaining new refinements of the Jensen-Mercer inequality with aplications to means
  2. Obtaining Hermite-Hadamard type inequalities for higher order convex functions and deriving weighted two-point and three-point formula for numerical integration
  3. Research of topological spaces in the context of the theory of coarse shape and finite coarse shape and finding invariants of coarse shape and finite coarse shape
  4. Estimation of future short-term rainfall maxima using extreme value theory
  5. Development and testing of an extended TAM model that includes the organizational context, user knowledge context, and intelligent system characteristics

Description of laboratory and equipment

Six offices and one laboratory – classroom.

Contacts with academic and other institutions

  • University of Split, Faculty of Science (PMFST), Croatia
  • University of Zagreb, Faculty of Science (PMF), Croatia
  • University of Zagreb, Faculty of Electrical Engineering and Computing (FER), Croatia
  • Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics (MATHOS), Croatia
  • University of Zagreb, Fakultet organizacije i informatike (FOI), Croatia
  • University of Cadiz, Escuela Técnica Superior de Ingeniería de Algeciras, Spain
  • Croatian Operational Research Society, Croatia

 

project title

Researchings in probability theory, topology and mathematical inequalities (VJETOMANE)

Description of research in a 1-year term

Obtaining new refinements of the Jensen-Mercer inequality with aplications to means. Obtaining Hermite-Hadamard type inequalities for higher order convex functions and the general weighted two-point integral formula involving w-harmonic sequences of functions. Applying obtained results to weighted one-point, two-point and three-point formula for numerical integration. Analyzing topological spaces in the context of coarse and finite coarse shape theory, coarse shape and finite coarse shape invariants, properties of topological spaces connected by finite coarse shape paths and comparison with coarse shape, and proving Morita’s lemma on isomorphism in finite coarse shape category. Studying the application of extreme value theory and statistical methods in climatology. Statistical hypothesis testing using the Partial Least Squares Structural Equation Modeling (PLS-SEM) method, and the development of a final specialist thesis titled Determinants of the Use of Generative Language Models in Croatian IT Companies.