Nejednakosti i primjene

Opis projekta
The proposed research project belongs to the category of theoretical research in fundamental sciences, with the main purpose to stimulate gaining new knowledge. The general purpose of this project is to contribute to the systematic development of the theory of inequalities and to its integration in the current trends in mathematics, especially in the fields of real, functional and numerical analysis. Our aim is also to create and maintain a competent team of researchers whose relevant results and cooperation with other field experts from all over the world will contribute to the promotion of Croatian mathematics worldwide. Specific objectives are: -to improve, refine, interpolate, generalize Jensen’s type inequalities and related inequalities such as Jensen-Steffensen, Hermite-Hadamard, Jensen-Mercer etc. -to prove some generalizations, improvements and refinements of some classical inequalities (Holder, Minkowski, Hilbert, Hardy, Ostrowski, Gruss, Opial, Chebyshev etc.) in various settings -better understanding of different kinds of convexities (higher convexities, s-convexity and h-convexity, exponential convexity, local convexities, Schur-convexity, superquadracity etc.) with applications in inequalities; -to give further extensions and applications of the Mond-Pečarić method in operator theory, especially in obtaining reverse type operator inequalities; -to develop methods and applications of asymptotic expansions and series of special functions (asymptotic expansion and comparison of bivariate and multivariate means; research in series of Bessel and Bessel-like functions, integral expressions and summation formulae for Neumann and Kapteyn series, establishing sharp truncation error estimates occuring in sampling series approximations etc.). We expect to publish more than one hundred papers in this project period. One of our aims is to give overviews of the obtained research results. We plan to publish at least five monographs on these topics.

Akronim
INEQUALITIES

Šifra projekta
IP-2013-11-5435

Poziv
IP-2013-11

Vrsta projekta
Znanstveno-istraživački

Vrsta financiranja
Kompetitivno projektno financiranje

Financijer
HRZZ - Hrvatska zaklada za znanost

Detalji financiranja
 IP - Istraživački projekti

Ukupan iznos financiranja projekta
547.130,36 HRK

Trajanje projekta
01-06-2014 - 31-05-2018

Ustanova - uloga
Tekstilno-tehnološki fakultet, Zagreb - Nositelj (547.130,36 HRK) [01-06-2014 - 31-05-2018]
Prirodoslovno-matematički fakultet, Split - Partner [01-06-2014 - 31-05-2018]

Osoba - Ustanova - uloga [pocetak - zavrsetak]
Josip Pečarić (MBZ: 145613, CROSBI: 12781) - Tekstilno-tehnološki fakultet, Zagreb - Voditelj projekta [01-06-2014 - 31-05-2018]
Milica Klaričić-Bakula (MBZ: 180421, CROSBI: 14216) - Prirodoslovno-matematički fakultet, Split - Suradnik [01-06-2014 - 31-05-2018]
Rozarija Mikić (MBZ: 335651, CROSBI: 31302) - Tekstilno-tehnološki fakultet, Zagreb - Suradnik [01-06-2014 - 31-05-2018]
Kristina Krulić Himmelreich (MBZ: 292530, CROSBI: 23554) - Tekstilno-tehnološki fakultet, Zagreb - Suradnik [01-06-2014 - 31-05-2018]
Mirna Rodić (MBZ: 274982, CROSBI: 33513) - Tekstilno-tehnološki fakultet, Zagreb - Suradnik [01-06-2014 - 31-05-2018]
Ksenija Smoljak Kalamir (MBZ: 302900, CROSBI: 27014) - Tekstilno-tehnološki fakultet, Zagreb - Suradnik [01-06-2014 - 31-05-2018]