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Disertacija |
"Jensenova i Hadamardova nejednakost za poopćene konveksne
funkcije"
PMF, Sveučilište u Zagrebu, 2005.
Voditelj: Prof.dr.sc. Marko Matić
Suvoditelj: Prof.dr.sc. Ivan Perić
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Znanstveni radovi |
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1) M. Klaričić Bakula, J. Pečarić: Note on some Hadamard-type inequalities, Journal of Inequalities in Pure and Applied Mathematics, Vol. 5, Issue 3, Article 74 (2004), [MRc-c]. 2) S. Abramovich, M. Klaričić Bakula, M. Matić, J. Pečarić: A variant of Jensen-Steffensen's inequality and quasi-arithmetic means, Journal of Mathematical Analysis and Applications, Vol. 307 (2005), 370-386, [MRc-c, CC, SCIE]. 3) M. Klaričić Bakula, E. Neuman, J. Pečarić, V. Šimić: Hermite-Hadamard's inequalities for multivariate g-convex functions, Mathematical Inequalities and Applications, Vol. 8, Issue 2 (2005), 305-319, [MRc-c, SCIE]. 4) M. Klaričić Bakula, J. Pečarić, A. Vukelić: Integration of periodic function and applications on integration formulae of interpolatory type, Bull. Math. Soc. Sci. Math. Roumanie. Vol. 48 (96), Issue 3 (2005), 261-275, [MRc-c]. 5) M. Klaričić Bakula, J. Pečarić: Note on some inequalities for generalized convex functions, Mathematical Inequalities and Applications, Vol. 9, Issue 1 (2006), 43-52, [MRc-c, SCIE]. 6) S. Abramovich, M. Klaričić Bakula, S. Banić: A variant of Jensen-Steffensen's inequality for convex and superquadratic functions, Journal of Inequalities in Pure and Applied Mathematics, Vol. 7, Issue 2, Article 70 (2006), [MRc-c]. 7) M. Klaričić Bakula, A. Matković, J. Pečarić: Variants of Čebyšev's inequality with applications, Journal of Inequalities and Applications, Vol. 2006 (2006), Article ID 39692, [MRc-c, CC, SCIE]. 8) M. Klaričić Bakula, J. Pečarić: On the Jensen's inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese Journal of Mathematics, Vol. 10, Issue 5 (2006), 1271-1292, [MRc-c, CC, SCIE]. 9) M. Klaričić Bakula, J. Pečarić, M. Ribičić: Companion inequalities to Jensen's inequality for m-convex and (α,m)-convex functions, Journal of Inequalities in Pure and Applied Mathematics, Vol. 7, Issue 5, Article 194 (2007), [MRc-c]. 10) M. Klaričić Bakula, Z. Páles, J. Pečarić: On weighted L-conjugate means, Communications in Applied Analysis, Vol. 11, Issue 1 (2007), 95-110, [MRc-c]. 11) M. Klaričić Bakula, J. Pečarić: Generalized Hadamard's inequalities based on general Euler 4-point formulae, ANZIAM Journal, Vol. 48 (2007), 387-404, [MRc-c,CC, SCIE]. 12) M. Klaričić Bakula, A. Matković, J. Pečarić: On the Jensen-Steffensen inequality for generalized convex functions, Periodica Mathematica Hungarica, Vol. 55, Issue 1 (2007), 19-34, [MRc-c, CC, SCIE]. 13) U. S. Kirmaci, M. Klaričić Bakula, M. E. Ozdemir, J. Pečarić: Hadamard-type inequalities for s-convex functions, Appleid Mathematics and Computation, Vol. 193, Issue 1 (2007), 26-35, [MRc-c, CC, SCIE]. 14) U. S. Kirmaci, M. Klaričić Bakula, M. E. Ozdemir, J. Pečarić: On some inequalities for p-norms, Journal of Inequalities in Pure and Applied Mathematics, Vol. 9, Issue 1, Article 27 (2008), [MRc-c]. 15) M. Klaričić Bakula, A. Matković, J. Pečarić: On a variant of Jensen's inequality for functions with nondecreasing increments, Journal of the Korean Mathematical Society, Vol. 45, Issue 3 (2008), 821-834, [MRc-c, SCIE]. 16) M. Klaričić Bakula, J. Pečarić, M. Ribičić Penava: General three-point quadrature formulae with applications for α-L-Hölder type functions, Journal of Mathematical Inequalities, Vol. 2, Issue 3 (2008), 343-361, [MRc-c]. 17) M. Klaričić Bakula, M. Matić, J. Pečarić: On general inequalities related to Jensen's inequality, International Series of Numerical Mathematics, Birkhäuser Verlag, Vol. 157 (2008), 233-243, [MRc-c] (objavljen kao poglavlje u knjizi). 18) M. Klaričić Bakula, M. E. Ozdemir, J. Pečarić: Hadamard type inequalities for m-convex and (α,m)-convex functions, Journal of Inequalities in Pure and Applied Mathematics, Vol. 9, Issue 4, Article 96 (2008), [MRc-c]. 19) M. Klaričić Bakula, M. Matić, J. Pečarić: Generalizations of the Jensen-Steffensen and related inequalities, Central European Journal of Mathematics, Vol. 7, Issue 4 (2009), 787-803, [MRc-c, SCIE]. 20) M. Klaričić Bakula, M. Ribičić Penava: General four-point quadrature formulae with applications for α-L-Hölder type functions, Journal of Mathematical Inequalities, Vol. 3, Issue 3 (2009), 427-436, [MRc-c, CC, SCIE]. 21) M. Klaričić Bakula, M. Matić, J. Pečarić: On inequalities complementary to Jensen's inequality, Matematički Bilten, Vol. 32 (2008), 17-27, [MRc-c]. 22) S. Ivelić, M. Klaričić Bakula, J. Pečarić: Converse Jensen-Steffensen inequality, Aequationes Mathematicae, Vol. 82, Issue 3 (2011), 233-246, [MRc-c, CC, SCIE]. 23) M. Klaričić Bakula, J. Pečarić, J. Perić, On the converse Jensen inequality, Applied Mathematics and Computation, Vol. 218 (2012), 6566–6575, [MRc-c, CC, SCIE]. 24) M.
Klaričić Bakula, J. Pečarić, J. Perić, Extensions
of the Hermite-Hadamard inequality with applications, Mathematical
Inequalities and Applications Vol. 15, Issue
4 (2012), 899-921, [MRc-c, SCIE]. 25) S. Ivelić, M.
Klaričić Bakula, J. Pečarić, Cauchy type means related
to the converse Jensen-Steffensen inequality, Rad
HAZU, Vol. 17 (2013), 123-138,
[MRc-c]. 26) M.
Klaričić Bakula, J. Pečarić, M. Ribičić Penava, General
quadrature formulae based on the weighted 27) M.
Klaričić Bakula, An improvement of the Hermite-Hadamard inequality for functions convex on the coordinates, Australian Journal of Mathematical Analysis and Applications, Vol. 11, Issue 1 (2014), Article
3, [MRc-c]. 28) M.
Klaričić Bakula, J. Pečarić, M. Ribičić Penava, A.
Vukelić, Some Grüss
type inequalities and corrected three-point quadrature
formulae of Euler type, Journal of Inequalities and Applications, Vol. 2015, Article 76
(2015), [MRc-c, CC, SCIE]. 29) M.
Klaričić Bakula, J. Pečarić, M. Ribičić Penava, A.
Vukelić, New estimations
of the remainder in three-point quadrature
formulae of Euler type, Journal of Mathematical Inequalities, Vol.
9, Issue 4 (2015), 1143-1156, [MRc-c, CC, SCIE]. 30) S.
Banić, M. Klaričić Bakula,
Jensen's inequality
for functions superquadratic
on the coordinates, Journal of Mathematical Inequalities, Vol. 9, Issue
4 (2015), 1365-1375, [MRc-c, CC, SCIE].
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