Research output per year
Research output per year
- 1 - 50 out of 68 results
Search results
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2023
Refinements of Jensen’s inequality by uniformly convex functions
Abramovich, S., Feb 2023, In: Aequationes Mathematicae. 97, 1, p. 75-88 14 p.Research output: Contribution to journal › Article › peer-review
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2022
New inequalities related to superquadratic functions
Abramovich, S., Feb 2022, In: Aequationes Mathematicae. 96, 1, p. 201-219 19 p.Research output: Contribution to journal › Article › peer-review
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Uniform convexity, N-quasisuperquadracity, N-quasiconvexity and extensions of Euler-Lagrange identity
Abramovich, S., 2022, In: Montes Taurus J. Pure Appl. Math. 4, 3, p. 139-151Research output: Contribution to journal › Article › peer-review
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Uniform Convexity, N-quasisuperquadracity, N-quasiconvexity and Extensions of the Euler-Lagrange Identity
Abramovich, S., 2022, In: Montes Taurus Journal of Pure and Applied Mathematics. 4, 3, p. 139-151 13 p., MTJPAM-D-21-00063.Research output: Contribution to journal › Article › peer-review
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2020
Hermite-Hadamard, Fejer and Sherman type inequalities for generalizations of superquadratic and convex functions
Abramovich, S., 1 Jun 2020, In: Journal of Mathematical Inequalities. 14, 2, p. 559-575 17 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Rearrangements and jensen type inequalities related to convexity, superquadracity, strong convexity and 1-quasiconvexity
Abramovich, S. & Persson, L. E., 1 Sep 2020, In: Journal of Mathematical Inequalities. 14, 3, p. 641-659 19 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Some new Hermite-hadamard and fejer type inequalities without convexity/Concavity
Abramovich, S. & Persson, L. E., Apr 2020, In: Mathematical Inequalities and Applications. 23, 2, p. 447-458 12 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2019
Refined inequalities via superquadracity, overview
Abramovich, S., 2019, In: Nonlinear Studies. 26, 4, p. 723-740Research output: Contribution to journal › Article › peer-review
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2018
Extended Normalized Jensen Functional related to convexity, 1-quasiconvexity and superquadracity
Abramovich, S., 2018, In: Journal of Mathematical Inequalities. 3, p. 753-764 12 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Extensions and refinements of fejer and hermite⇓hadamard type inequalities
Abramovich, S. & Persson, L. E., Jul 2018, In: Mathematical Inequalities and Applications. 21, 3, p. 759-772 14 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2017
Fejér and Hermite–Hadamard type inequalities for N-quasiconvex functions
Abramovich, S. & Persson, L. E., 1 Nov 2017, In: Mathematical Notes. 102, 5-6, p. 599-609 11 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2016
Inequalities for averages of quasiconvex and superquadratic functions
Abramovich, S. & Persson, L. E., Apr 2016, In: Mathematical Inequalities and Applications. 19, 2, p. 535-550 16 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Jensen, hö lder, minkowski, jensen-steffensen and slater-pe caríc inequalities derived through n-quasiconvexity
Abramovich, S., Oct 2016, In: Mathematical Inequalities and Applications. 19, 4, p. 1203-1226 24 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Some new estimates of the ‘Jensen gap’
Abramovich, S. & Persson, L. E., 1 Dec 2016, In: Journal of Inequalities and Applications. 2016, 1, p. 1-9 9 p., 39.Research output: Contribution to journal › Article › peer-review
Open Access -
2015
On γ-quasiconvexity, superquadracity and two-sided reversed jensen type inequalities
Abramovich, S., Persson, L. E. & Samko, N., 1 Apr 2015, In: Mathematical Inequalities and Applications. 18, 2, p. 615-627 13 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Quasi-arithmetic means and subquadracity
Abramovich, S., 2015, In: Journal of Mathematical Inequalities. 9, 4, p. 1157-1168 12 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2014
Some new refined Hardy type inequalities with breaking points p = 2 or p = 3
Abramovich, S. & Persson, L. E., 2014, In: Operator Theory: Advances and Applications. 236, p. 1-10 10 p.Research output: Contribution to journal › Article › peer-review
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Some new scales of refined jensen and hardy type inequalities
Abramovich, S., Persson, L. E. & Samko, N., Jul 2014, In: Mathematical Inequalities and Applications. 17, 3, p. 1105-1114 10 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2013
Convexity, subadditivity and generalized jensen’s inequality
Abramovich, S., 2013, In: Annals of Functional Analysis. 4, 2, p. 183-194 12 p.Research output: Contribution to journal › Article › peer-review
Open Access -
More about jensen's inequality and cauchy's means for superquadratic functions
Abramovich, S., Farid, G. & Pečarić, J., Mar 2013, In: Journal of Mathematical Inequalities. 7, 1, p. 11-14 4 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Some new scales of refined Hardy type inequalities via functions related to superquadracity
Abramovich, S. & Persson, L. E., 2013, In: Mathematical Inequalities and Applications. 16, 3, p. 679-695 17 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2012
Extension of the euler-lagrange identity by superquadratic power functions
Abramovich, S., Ivelić, S. & Pečarić, J., 2012, In: International Journal of Pure and Applied Mathematics. 74, 2, p. 209-220 12 p.Research output: Contribution to journal › Article › peer-review
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2011
More on Cauchy's means and generalization of Hadamard inequality via converses of Jensen's inequality and superquadracity
Abramovich, S., Farid, G., Ivelić, S. & Pečarić, J., 2011, In: International Journal of Pure and Applied Mathematics. 69, 1, p. 97-116 20 p.Research output: Contribution to journal › Article › peer-review
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On exponential convexity, Jensen-Steffensen-Boas inequality, and Cauchy's means for superquadratic functions
Abramovich, S., Farid, G., Ivelić, S. & Pečarić, J., Jun 2011, In: Journal of Mathematical Inequalities. 5, 2, p. 169-180 12 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2010
Generalizations of Jensen-Steffensen and related integral inequalities for superquadratic functions
Abramovich, S., Ivelić, S. & Pečarić, J., 2010, In: Central European Journal of Mathematics. 8, 5, p. 937-949 13 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Improvement of jensen–steffensen’s inequality for superquadratic functions
Abramovich, S., IveliĆ, S. & PeČariĆ, J. E., 2010, In: Banach Journal of Mathematical Analysis. 4, 1, p. 159-169 11 p.Research output: Contribution to journal › Article › peer-review
Open Access -
More about hermite-hadamard inequalities, cauchy's means, and superquadracity
Farid, G., Abramovich, S. & Pečarić, J., 2010, In: Journal of Inequalities and Applications. 2010, 102467.Research output: Contribution to journal › Article › peer-review
Open Access -
Some new refined Hardy type inequalities with general Kernels and measures
Abramovich, S., Krulić, K., Pečarić, J. & Persson, L. E., Mar 2010, In: Aequationes Mathematicae. 79, 1-2, p. 157-172 16 p.Research output: Contribution to journal › Article › peer-review
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Superquadracity, Bohr's inequality and deviation from a mean value
Abramovich, S., Barić, J. & Pečarí, J., 2010, In: Australian Journal of Mathematical Analysis and Applications. 7, 1, p. 1-9 9 p.Research output: Contribution to journal › Article › peer-review
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2009
A new proof of an inequality of Bohr for Hilbert space operators
Abramovich, S., Barić, J. & Pečarić, J., 1 Feb 2009, In: Linear Algebra and Its Applications. 430, 4, p. 1432-1435 4 p.Research output: Contribution to journal › Article › peer-review
Open Access -
On superquadracity
Abramovich, S., 2009, In: Journal of Mathematical Inequalities. 3, p. 329–339Research output: Contribution to journal › Article › peer-review
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2008
A variant of Jessen's inequality of Mercer's type for superquadratic functions
Abramovich, S., Baríc, J. & Pečarić, J., 2008, In: Journal of Inequalities in Pure and Applied Mathematics. 9, 3, 62.Research output: Contribution to journal › Article › peer-review
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Fejer and Hermite-Hadamard type inequalities for superquadratic functions
Abramovich, S., Barić, J. & Pečarić, J., 15 Aug 2008, In: Journal of Mathematical Analysis and Applications. 344, 2, p. 1048-1056 9 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Jensen-Steffensen's and related inequalities for superquadratic functions
Abramovich, S., Banić, S., Matić, M. & Pečarić, J., Jan 2008, In: Mathematical Inequalities and Applications. 11, 1, p. 23-41 19 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2007
General inequalities VIA isotonic subadditive functionals
Abramovich, S., Persson, L. E., Pečarić, J. & Varošanec, S., Jan 2007, In: Mathematical Inequalities and Applications. 10, 1, p. 15-28 14 p.Research output: Contribution to journal › Article › peer-review
Open Access -
On van de Lune-Alzer's inequality
Abramovich, S., Barić, J., Matić, M. & Pečarí, J., 2007, In: Journal of Mathematical Inequalities. 1, p. 563–587Research output: Contribution to journal › Article › peer-review
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Superquadracity of functions and rearrangements of sets
Abramovich, S., 2007, In: Journal of Inequalities in Pure and Applied Mathematics. 8, 2, 46.Research output: Contribution to journal › Article › peer-review
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Superquadratic functions in several variables
Abramovich, S., Banić, S. & Matić, M., 15 Mar 2007, In: Journal of Mathematical Analysis and Applications. 327, 2, p. 1444-1460 17 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2006
A variant of Jensen-Steffensen's inequality for convex and superquadratic functions
Abramovich, S., Klaričić Bakula, M. & Banić, S., 2006, In: Journal of Inequalities in Pure and Applied Mathematics. 7, 2, p. 1-12 12 p., 70.Research output: Contribution to journal › Article › peer-review
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2005
A variant of Jensen-Steffensen's inequality and quasi-arithmetic means
Abramovich, S., Klaričić Bakula, M., Matić, M. & Pečarić, J., 1 Jul 2005, In: Journal of Mathematical Analysis and Applications. 307, 1, p. 370-386 17 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Continuous sharpening of Hölder's and minkowski's inequalities
Abramovich, S., Pečarić, J. & Varošanec, S., Apr 2005, In: Mathematical Inequalities and Applications. 8, 2, p. 179-190 12 p.Research output: Contribution to journal › Article › peer-review
Open Access -
On frequencies of strings and deformations of beams
Abramovich, S., Jun 2005, In: Quarterly of Applied Mathematics. 63, 2, p. 291-299 9 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2004
Comparison theorems between several quasi-arithmetic means
Abramovich, S., Pečarić, J. & Varošanec, S., Jan 2004, In: Mathematical Inequalities and Applications. 7, 1, p. 1-6 6 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Inequalities for averages of convex and superquadratic functions
Abramovich, S., Jameson, G. & Sinnamon, G., 2004, In: Journal of Inequalities in Pure and Applied Mathematics. 5, 14 p., 91.Research output: Contribution to journal › Article › peer-review
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Refining Jensen's inequality
Abramovich, S., Jameson, G. & Sinnamon, G., 2004, In: Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie. 47, 95, p. 3-14Research output: Contribution to journal › Article › peer-review
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Sharpening hölder’s and popoviciu’s inequalities via functionals
Abramovich, S., Pečarić, J. & Varošanec, S., 2004, In: Rocky Mountain Journal of Mathematics. 34, 3, p. 793-810 18 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2000
Functional equalities and some mean values
Abramovich, S. & Pečarić, J., 1 Oct 2000, In: Journal of Mathematical Analysis and Applications. 250, 1, p. 181-186 6 p.Research output: Contribution to journal › Article › peer-review
Open Access -
1999
A note on Hölder's type inequalities and concave functions
Abramovich, S. & PEÒARIÓ , J., 1999, In: REVUE D'ANALYSE NUMÉRIQUE ET DE THÉORTE DE L'APPROXIMATION. 28, p. 63–72Research output: Contribution to journal › Article › peer-review
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Further extension of Stolarsky's inequality with general weights
Abramovich, S., 1999, In: Mathematica Pannonica. 10, 2, p. 249–256Research output: Contribution to journal › Article › peer-review
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1998
Convex and concave functions and generalized Hölder inequalities
Abramovich, S. & PeČariĆ, J. E., 1998, In: Soochow Journal of Mathematics. 24, p. 261–272Research output: Contribution to journal › Article › peer-review