| 1. |
- Aljinovic, Andrea Aglic, et al.
(författare)
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Josip Pecaric- and his life in mathematics and politics
- 2019
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Ingår i: Mathematical Inequalities & Applications. - : Element. - 1331-4343 .- 1848-9966. ; 22:4, s. 1067-1080
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Tidskriftsartikel (refereegranskat)abstract
- It is impossible in limited number of pages to give a fair picture of such a remarkable man, great mathematician and human being as Josip Pecaric. Our intention is instead to complement the picture of him in various ways. We hope that our paper will give also someflavor of Josip as family man, fighter, supervisor,international authority, author (also in other subjects than mathematics), fan of the Croatian football team, and not only as his obvious role as our King of Inequalities.
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| 2. |
- Pečarić, Josip, et al.
(författare)
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A sharp multidimensional Bergh type inequality
- 2001
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Ingår i: Mathematische Nachrichten. - 0025-584X .- 1522-2616. ; 228:1, s. 155-162
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Tidskriftsartikel (refereegranskat)abstract
- A sharp multidimensional integral inequality for functions satisfying two quasi-mono-tonicity conditions is proved. This result generalizes Bergh's inequality valid for quasi-concave functions.
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| 3. |
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| 4. |
- Pecaric, Josip E., et al.
(författare)
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Integral inequalities for monotone functions
- 1997
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Ingår i: Journal of Mathematical Analysis and Applications. - : Elsevier BV. - 0022-247X .- 1096-0813. ; 215:1, s. 235-251
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Tidskriftsartikel (refereegranskat)abstract
- Some integral inequalities for generalized monotone functions of one variable and an integral inequality for monotone functions of several variables are proved. Some applications are presented and discussed.
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| 5. |
- Pečarić, Josip, et al.
(författare)
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On sharpness of some integral inequalities and an integral equation of Volterra type
- 2002
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 5:4, s. 659-670
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Tidskriftsartikel (refereegranskat)abstract
- The sharpness of some recent integral inequalities is discussed and the corresponding external functions are pointed out. It is also proved that the cases of equality can equivalently be obtained by solving an integral equation of Volterra type with discontinous kemel χA (t). This integral equation of independent interest is solved for every measurable set A on (a, b), -∞ < a < b < ∞.
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| 6. |
- Peric, Ivan, et al.
(författare)
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Sharp integral inequalities for C-monotone functions of several variables
- 2000
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 3:1, s. 51-62
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Tidskriftsartikel (refereegranskat)abstract
- Some sharp integral inequalities for C-monotone functions of several variables are proved. All cases of equality are found and some related results are pointed out and discussed.
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