Andrea Aglić Aljinović
University of Zagreb
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Publication
Featured researches published by Andrea Aglić Aljinović.
Georgian Mathematical Journal | 2014
Andrea Aglić Aljinović; Mario Krnić; Josip Pečarić
Abstract. We present a weighted Montgomery identity for the fractional integral of a function f with respect to another function g and use it to obtain weighted Ostrowski type inequalities for fractional integrals involving functions whose first derivatives belong to Lp spaces. These inequalities are generally sharp in case p>1
Journal of Mathematics | 2014
Andrea Aglić Aljinović
p>1
Mathematical and Computer Modelling | 2011
Andrea Aglić Aljinović; Sanja Kovač; Josip Pečarić
and best possible in case p=1
Mathematical Inequalities & Applications | 2014
Andrea Aglić Aljinović; Josip Pečarić; Anamarija Perušić
p=1
Journal of Computational Analysis and Applications | 2005
Andrea Aglić Aljinović; Marko Matić; Josip Pečarić
. Applications for the Hadamard fractional integrals are given.
Nonlinear functional analysis and applications | 2005
Andrea Aglić Aljinović; Ljubo Marangunić; Josip Pečarić
We present Montgomery identity for Riemann-Liouville fractional integral as well as for fractional integral of a function with respect to another function . We further use them to obtain Ostrowski type inequalities involving functions whose first derivatives belong to spaces. These inequalities are generally sharp in case and the best possible in case . Application for Hadamard fractional integrals is given.
Archive | 2013
Andrea Aglić Aljinović; Ambroz Čivljak; Sanja Kovač; Josip Pečarić; Mihaela Ribičić Penava
We present a weighted generalization of Montgomery identity for Riemann-Stieltjes integral and use it to obtain weighted generalization of a recently obtained inequality, as well as weighted 2-point and 3-point quadrature formulae of closed and semi-closed type for functions of bounded variation.
Mathematical Inequalities & Applications | 2005
Andrea Aglić Aljinović; Ljuban Dedić; Marko Matić; Josip Pečarić
Some new generalizations of Steffensens inequality are obtained by means of weighted Montgomery identity and estimations between difference of two weighted integral means. Further, functionals associated to these new generalizations are observed and used to generate n-exponentially and exponentially convex functions as well as to obtain new Stolarsky type means related to these functionals.
Arabian Journal of Mathematics | 2018
Andrea Aglić Aljinović; Asif R. Khan; Josip Pečarić
Book of Abstracts, V Congress of Mathematicians of Macedonia | 2017
Andrea Aglić Aljinović; Josip Pečarić; Anamarija Perušić Pribanić