Kratka priopćenja Contributed Talks 19 Shoshana ABRAMOVICH. 21 Victor S. ADAMCHIK Dražen ADAMOVIĆ Andrea AGLIĆ ALJINOVIĆ 21 Ljiljana

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2 Kratka priopćenja Contributed Talks 19 Shoshana ABRAMOVICH. 21 Victor S. ADAMCHIK Dražen ADAMOVIĆ Andrea AGLIĆ ALJINOVIĆ 21 Ljiljana ARAMBAŠIĆ. 22 Agnes BARAN Sandor BARAN Jelena BEBAN-BRKIĆ 23 Valter BOLJUNČIĆ.. 23 Mea BOMBARDELLI. 24 Seilkhan BORANBAYEV 24 Nela BOSNER Matko BOTINČAN 25 Ksir BRAHIM Ilko BRNETIĆ Vesna CELAKOSKA JORDANOVA 26 Zvonko ČERIN Nelida ČRNJARIĆ-ŽIC 27 Bojan CRNKOVIĆ Dean CRNKOVIĆ Aleksandra ČIŽMEŠlJA Vera ČULJAK Biserka DRAŠČIĆ. 30 Zlatko DRMAČ Andrej DUJELLA. 30 Zrinka FRANUŠl Ć. 30 Iva FRANJIĆ Sonja GORJANC. 31 Ante GRAOVAC.. 32 Luis Javier HERNANDEZ PARICIO. 32 Rozsa HORVATH-BOKOR 33 Miljenko HUZAK.. 33 Dijana ILIŠEVIĆ.. 33 Marton ISP ANY.. 33 Dubravko IVANŠIĆ 34 Ivan IVANŠIĆ Borka JADRIJEVIĆ 34 Julije JAKŠETIĆ.. 35 Ivan KAMENAROVIĆ 35 Milica KLARIČIĆ BAKULA 36 Zdenka KOLAR-BEGOVIĆ. 36 Danuta KOLODZIEJCZYK. 36 x

3 using the method of Tzanakis, reduces to solving the system of Pellian equations We show that if Iml and Ini are suffi ciently large and have suffi ciently large common divisor, then the system has only the trivial solutions (V, Z, U) = (±m, ±n, ±1), which implies that the original Thue equation also has only the trivial solutions (x, y) = (±1, O), (O, ±1). Further, we prove that for all integers m and n there are no non-trivial solutions of equation (1) satisfying the additional condition gcd(xy, mn) = 1. We will also show that system of Pellian equations (2) for all m and n =I- 0, ±1 possess at most 7 solutions in positive integers (V, Z, U). Martin Boundary Approach to the Lawton Condition JULIJE JAKŠETIC Abstract. In finding necessary and suffi cient conditionsfor trigonometric polynomial to be a low-pass filter, Lawton treated problem using appropriate functional equation. Gundy used this equation to construct Markov process and then gave complete characterization of problem for an arbitrary periodic function. We will use the fact that Gundy process is transient and then using Martin representation we will solve original equation of Lawton. Coauthor: HRVOJEŠIKI C, Department of Mathematics, University of Zagreb, Croatia. Some Basic Theorems on Ruled Surfacesin the Galilean Space G3 IVANKAMENAROVIC Abstract. Diffurential geometry of ruled surfaces in the Galilean Space G 3 has been largely developed by O. Roschel. The aim of this paper is the further study of these surfaces. There are three types of ruled surfaces in G3: Type A-nonconoidal ruled surfaces or conoidal surfaces with an unproper nonisotropic line as the directrix, whose striction lines dont belong to Euclidean planes; type B-ruled surfaces with striction lines lying in Euclidean planes of G 3 and type C-conoidal surfaces with the absolute line as the directrix. Two basic relations concerning surfaces of 'all three types have been found and on the basis of these relations some theorems about the existence of ruled surfaces of the types A, B and C have been proved especially the cases when the directrix is a line of curvature, an asymptotic line, a geodesic respectively a pseudogeodesics have been studied. Some theorems concerning equidistants on ruled surfaces have been proved. 35 (2)

4 ~~==~===::~~ afemafiku Department of Mathematics Trg Ljudevita Gaja 6 HR Osijek Croatia MB Žiro račun: mail@mathos.hr Tel: Fax: Julije Jakšetić Department of Mathematics University of Zagreb Bijenička Zagreb Croatia Osijek, April 11,2008 Dear colleague, we would like to inform you that your contribution J. Jakšetić Minimal harmonie funetions for RuelIe operator is accepted for presentation in Poster Form at the 4th Croatian Mathematical Congress that will take place in Osijek, Croatia, June 17-20, Authors presenting a Poster are advised to bring the material of the Poster with them when they come to the Congress since no facilities for preparing posters are available on site. The size of individual poster panels is as follows: width 80 cm, height 120 cm. We are looking forward to meeting you at the congress. Best regards. For thesc::cole:. Scitovski, President

5 SVEUČiLIŠTE U RIJECI UNIVERSITY OF RIJEKA ODJEl ZA MATEMATIKU DEPARTMENT OF MATHEMATICS Omladinska 14, Rijeka AA isveučillšte U RIJECI 'ODJEL ZA MATEMATIKU Rijeka, June 21, 2012 TO WHOM IT MAY CONCERN Hereby we confinn that Julije Jakšetić.Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb attended the 5th Croatian Mathematical Congress and gave a talk with atitle Exponential convexity method, held in Rijeka, Croatia, from June 18 to June 21, Sincerel~ Prof. Dean Crnković Co-chair of the 5th Croatian Mathematical Congress Tel: (0) Sl * Fax: ++385(0) Sl * math@math.uniri.hr Žiro račun: * Matični broj: *

6 >ML~< _CROATIA_ Mathematicallnequalities and Applications 2008, Croatia University of Split Faculty of Natural Sciences, Mathematics and Kinesiology Nikole Tesle Split Croatia ORGANIZERS University of Zagreb Faculty of Textile Technology Pierottijeva Zagreb Croatia Croatian Mathematical Society Bijenička cesta Zagreb Croatia TO WHOM IT MAY CONCERN Trogir, June 14, 2008 CERTIFICATE On behalf of the Organizing and Scientific Committees, we hereby certify that Julije Jakšetić Department of Mathematics, University of Zagreb, Croatia has participated in the conference Mathematical lnequalities and Applications 2008 (MIA 2008) Conference in honour of Prof. Josip Pečarić on the occasion of his 60 th birthday held in the hotel Medena, Trogir, Croatia, June 8-14, 2008, and gave a talk entitled New Means of Stolarsky Type. ~ve;k ~. Lars - Erik ~~ Aleksandra Čižmešija - Ih t;t'\1a ~ '-VI Chairman of the Scientific Committee of MIA 2008 Conference MIA 2008 Conference Secretary mia2008@math.hr Phone: , Fax:

7 MIA Mathematicallnequalities and Applications Croatia ONE THOUSAND PAPERS CONFERENCE TO WHOM IT MAY CONCERN Trogir, June 26, 2014 CERTIFICATE On behalf of the Organizing and Scientific Committees, we hereby certify that Julije Jakšetić Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Croatia has participated in the conference Mathematical Inequalities and Applications 2014 (MIA 2014) held in the hotel Medena, Trogir, Croatia, June 22-26, 2014, and gave a talk entit1ed Steffensen inequality, higher order convexity and exponential convexity. Milica Klaričić Bakula Ch~namg~ of MIA 2014 Conference 2Đ14.mia-journal.com mia2đ14@pmfst.hr Organizers: Faculty of Science, University of Split Croatia Faculty of Textile Technology. University of Zagreb. Croatia

8 2015 Mathematical inequalities and applications 2015 Mostar, Bosnia and Herzegovina International conferenee organized on the oaosian of 60th birthdays of Professors Neven Elezović, Marko Matić and Ivan Perić TO WHOM IT MAY CONCERN CERTIFICATE Mostar, November Il, 2015 On behalf of the Organizing and Scientific Committees, we hereby certify that Julije [akšetič Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia has participated in the conference Mathematical Inequalities and Applications 2015 (MIA 2015) held in Mostar, Bosnia and Herzegovina, November 11-15,2015, entitled and gave a talk Steffensen' s Inequality for 3-convex Functions. prof. dr. sc. Ma:~ Organizer: FPMO:Z: Faculty of Science and Education, University of Mostar, Bosnia and Herzegovina Co-organizers: Faculty of Science, University of Split, Croatia mia.fpmoz.ba mia2015@fpmoz.ba

9 V CONGRESS OF MATHEMATICIANS OF MACEDONIA SEPTEMBER 24-27,2014 Ohrid, Republic of Macedonia (~~. ~) of Mathematicians of Macedonia Septembef l4-17, 2014, Ohrid, R. Macedonia CERTIFICATE OF PARTICIPATION V CONGRESS OF MATHEMATICIANS OF MACEDONIA SEPTEMBER 24-27, 2014 Ohrid, Republic of Macedonia Awarded to JULIJE JAKŠETIĆ for participation with ashort communication Title: GENERALIZATIONS OF STEFFENSEN'S INEQUALITY BY HERMITE'S POLYNOMIAL Authors: Julije Jakšetić, Josip Pečarić, Anamarija Perušić Pribanić Union of Mathematicians leksandar Makedonski lo X970

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