| 1. |
- Barza, Sorina, et al.
(author)
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Carlson type inequalities
- 1998
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In: Journal of inequalities and applications. - 1025-5834 .- 1029-242X. ; 2:2, s. 121-135
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Journal article (peer-reviewed)abstract
- A scale of Carlson type inequalities are proved and the best constants are found. Some multidimensional versions of these inequalities are also proved and it is pointed out that also a well-known inequality by Beurling-Kjellberg is included as an endpoint case.
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| 2. |
- Barza, Sorina, et al.
(author)
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Reversed Hölder type inequalities for monotone functions of several variables
- 1997
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In: Mathematische Nachrichten. - : Wiley. - 0025-584X .- 1522-2616. ; 186:67-80, s. 67-80
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Journal article (peer-reviewed)abstract
- Some reversed Hölder type inequalities yielding for monotone or quasimonotone functions of one variable have recently been obtained and applied (see e.g. [1], [2], [3], [5], [9], [12], [14], [17]). In this paper some inequalities of this type are proved for the more general case with n functions of m variables (m, n ∈ ℤ+). Some of these results seem to be new also for the case n = 1 or m = 1.
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| 3. |
- Barza, Sorina, et al.
(author)
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Sharp multidimensional multiplicative inequalities for weighted Lp spaces with homogeneous weights
- 1998
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In: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 1:1, s. 53-67
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Journal article (peer-reviewed)abstract
- Let Ω be an arbitrary cone in IRn with the origin as a vertex. A multidimensional multiplicative inequality for weighted Lp(Ω) -spaces with homogeneous weights is proved. The inequality is sharp and all cases of equality are pointed out. In particular, this inequality may be regarded as a weighted multidimensional extension of previous inequalities of Carlson, Beurling and Leviri.
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| 4. |
- Dragomir, S. S., et al.
(author)
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Some inequalities of Hadamard type
- 1995
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In: Soochow Journal of Mathematics. - 0250-3255. ; 21:3, s. 335-341
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Journal article (peer-reviewed)
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| 5. |
- Maligranda, Lech, et al.
(author)
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Stolarsky's inequality with general weights
- 1995
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In: Proceedings of the American Mathematical Society. - 0002-9939 .- 1088-6826. ; 123:7, s. 2113-2118
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Journal article (peer-reviewed)abstract
- Recently Stolarsky proved that the inquality ( ) holds for every 0$" type="#_x005F_x0000_t75">and every nonincreasing function on [0, 1] satisfying . In this paper we prove a weighted version of this inequality. Our proof is based on a generalized Chebyshev inequality. In particular, our result shows that the inequality holds for every function g of bounded variation. We also generalize another inequality by Stolarsky concerning the -function.
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| 6. |
- Maligranda, Lech, et al.
(author)
-
Weighted Favard and Berwald inequalities
- 1995
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In: Journal of Mathematical Analysis and Applications. - : Elsevier BV. - 0022-247X .- 1096-0813. ; 190:1, s. 248-262
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Journal article (peer-reviewed)abstract
- Weighted versions of the Favard and Benwald inequalities are proved in the class of monotone and concave (convex) functions. Some necessary majorization estimates and a double-weight characterization for a Favard-type inequality are included.
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| 7. |
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| 8. |
- Pecaric, Josip E., et al.
(author)
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Integral inequalities for monotone functions
- 1997
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In: Journal of Mathematical Analysis and Applications. - : Elsevier BV. - 0022-247X .- 1096-0813. ; 215:1, s. 235-251
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Journal article (peer-reviewed)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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| 9. |
- Pecaric, Josip E., et al.
(author)
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On Bergh's inequality for quasi-monotone functions
- 1995
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In: Journal of Mathematical Analysis and Applications. - : Elsevier BV. - 0022-247X .- 1096-0813. ; 195:2, s. 393-400
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Journal article (peer-reviewed)abstract
- We consider an inverse Hölder type inequality of J. Bergh [Math Z.215 (1994), 205-208] yielding for quasi-concave functions. We prove that this inequality holds in a more general class of functions endowed with two quasimonotonicity growth conditions. Some classes of quasi-monotone functions in mean are introduced and some new Bergh-type inequalities in these classes are proved. Our proofs are short and completely different from that of J. Bergh.
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| 10. |
- Pečarić,, Josip, et al.
(author)
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On an inequality of Hardy-Littlewood-Polya
- 1995
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In: Mathematical Gazette. - : Cambridge University Press (CUP). - 0025-5572 .- 2056-6328. ; 79:485, s. 383-385
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Journal article (peer-reviewed)
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