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1
Content available remote Inequalities for the numerical radius in unital normed algebras
Dragomir S.
Demonstratio Mathematica
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2010
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Vol. 43, nr 1
129-137
EN
In this paper, some inequalities between the numerical radius of an element from a unital normed algebra and certain semi-inner products involving that element and the unity are given.
2
Content available remote On the Torricellian point in inner product spaces
Dragomir S., Comanescu D.
Demonstratio Mathematica
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2008
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Vol. 41, nr 3
639-650
EN
The concept of Torricellian point related to a set of n vectors in normed linear spaces is introduced and the general properties obtained. The existence and uniqueness of the Torricellian point in inner product spaces are established.
3
Content available remote On quasi convex functions and Hadamard's inequality
Tseng K., Tseng K., Yang G., Dragomir S.
Demonstratio Mathematica
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2008
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Vol. 41, nr 2
323-336
EN
In this paper we establish some inequalities of Hadamard's type involving Godunova-Levin functions, P-functions, quasi-convex functions, J-quasi-convex functions, Wright-convex functions and Wright-quasi-convex functions.
4
Content available remote On an inequality of the Lupas type
Barnett N., Dragomir S.
Demonstratio Mathematica
|
2008
|
Vol. 41, nr 1
57-62
EN
An inequality of the Lupas, type for Cebysev functionals is established.
5
Content available remote On some new inequalities of Hermite-Hadamard-Fejer type involving convex functions
Tseng K., Hwang S., Dragomir S.
Demonstratio Mathematica
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2007
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Vol. 40, nr 1
51-64
EN
In this paper, we establish some inequalities of Hermite-Hadamard-Fejér type for m-convex functions and s-convex functions.
6
Content available remote Inequalities for the norm and the numerical radius of linear operators in Hilbert spaces
Dragomir S.
Demonstratio Mathematica
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2007
|
Vol. 40, nr 2
411-417
EN
In this paper various inequalities between the operator norm and its numerical radius are provided. For this purpose, we employ some classical inequalities for vectors in inner product spaces due to Buzano, Goldstein-Ryff-Clarke, Dragomir-Sandor and the author.
7
Content available remote Integral inequalities on infinite intervals
Barnett N., Dragomir S.
Demonstratio Mathematica
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2006
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Vol. 39, nr 3
507-514
EN
Inequalities concerning the distance between a function and some integrals on infinite intervals are given.
8
Content available remote Ostrowski type inequalities for functions whose derivatives satisfy certain convexity assumptions
Cerone P., Dragomir S.
Demonstratio Mathematica
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2004
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Vol. 37, nr 2
299--308
EN
Ostrowski type inequalities for absolutely continuous functions whose derivatives satisfy certain convexity assumptions are pointed out.
9
Content available remote Better bounds for an inequality of the Ostrowski type with applications
Barnett N., Dragomir S., Sofo A.
Demonstratio Mathematica
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2001
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Vol. 34, nr 3
533-542
EN
In this paper we improwe a recent result by Matic, Pecaric und Ujevic [6] and apply if for special means and cumulative probability functions.
10
Content available remote A new generalization of the trapezoid formula for n-time differentiable mappings and applications
Cerone P., Dragomir S., Roumeliotis J., Sunde J.
Demonstratio Mathematica
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2000
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Vol. 33, nr 4
719-736
EN
A new generalization of the trapezoid formula for n-time differentiable mappings and applications in Numerical Analysis are given.
11
Content available remote The Hadamard inequalities for s-convex functions in the second sense
Dragomir S., Fitzpatrick S.
Demonstratio Mathematica
|
1999
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Vol. 32, nr 4
687-696
EN
We derive some inequalities of Hadamard's type for s-convex functions in the second sense and give some applications connected with special means.
12
Content available remote Some Ostrowski type inequalities for n-time differentiable mappings and applications
Cerone P., Dragomir S., Roumeliotis J.
Demonstratio Mathematica
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1999
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Vol. 32, nr 4
697-712
EN
Some generalizations of the Ostrowski inequality for n-time differentiable mappings are given. Applications in Numerical Integration and for power series exgansions are also presented.
13
Content available remote Some inequalities in 2-inner product spaces
Cho Y., Dragomir S., White A., Kim S.
Demonstratio Mathematica
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1999
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Vol. 32, nr 3
485-493
EN
In this paper we extend some results on the refinement of Cauchy-Buniakowski-Schwarz's inequality and Aćzel's inequality in inner product spaces to 2-inner product spaces.
14
Content available remote A variational characterization of the best approximation element
Dragomir S.
Demonstratio Mathematica
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1999
|
Vol. 32, nr 1
117-128
EN
A variational characterization for the best approximtion element from subspaces in normed linear spaces is given.
15
Content available remote Integral inequalities of Hadamard type for log-convex functions
Dragomir S., Mond B.
Demonstratio Mathematica
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1998
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Vol. 31, nr 2
355-364
EN
In this paper, we derive some integral inequalities for log-convex functions which are closely connected with the classical inequality due to Hermite-Hadamard.
16
Content available remote Hadamard's inequality for s-convex functions in the first sense and applications
Dragomir S., Fitzpatrick S.
Demonstratio Mathematica
|
1998
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Vol. 31, nr 3
633-642
EN
In this paper we extend the well-known Hadamard integral inequality which holds for convex functions to the case of s-convex functions in the first sense , which were considered by Orlicz and used in the theory of Orlicz spaces. Some applications for concrete mappings are also given.
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