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1
Content available remote Some reverses of Hölder vector operator inequality
Dragomir S. S.
Fasciculi Mathematici
|
2019
|
nr 62
35--46
EN
In this paper we obtain some new reverses of Hölder vector inequality for positive operators on Hilbert spaces.
2
Content available remote Some inequalities for weighted harmonic and arithmetic operator means
Dragomir S. S.
Fasciculi Mathematici
|
2018
|
Nr 61
43--54
EN
In this paper we establish some upper and lower bounds for the difference between the weighted arithmetic and harmonie operator means under various assumption for the positive invertible operators A, B. Some applications when A, B are bounded above and below by positive constants are given as well.
3
Content available remote Some results for isotonic functionals via an inequality due to Kittaneh and Manasrah
Dragomir S. S.
Fasciculi Mathematici
|
2017
|
Nr 59
30--42
EN
In this paper we obtain some inequalities for isotonic functionals via a reverse and refinement of Young’s inequality due to Kittaneh and Manasrah.
4
Content available remote New inequalities of CBS-type for power series of complex numbers
Dragomir S. S.
Fasciculi Mathematici
|
2016
|
Nr 57
37--51
EN
Let [formula] be a function defned by power series with complex coefficients and convergent on the open disk D (0, R) C, R > 0. In this paper we show amongst other that, if α, z C are such that |α|, |α||z| < R, then [formula] where [formula]. Aplications for some fundamental functions defined by power series are also provided. be a function defned by power series with complex coefficients and convergent on the open disk D(0, R) C, R > 0. In this paper we show amongst other that, if α, z C are such that |α|, |α||z| < R, then [formula] where Applications for some fundamental functions defined by power series are also provided.
5
Content available remote Inequalities of Jensen type for φ-convex functions
Dragomir S. S.
Fasciculi Mathematici
|
2015
|
Nr 55
35--52
EN
Some inequalities of Jensen type for φ-convex functions defined on real intervals are given.
6
Content available remote Some inequalities for the maximum of the spectrum for the real part of two operators product in Hilbert spaces
Dragomir S. S.
Demonstratio Mathematica
|
2010
|
Vol. 43, nr 3
665-680
EN
Some inequalities for the maximum and the minimum of the spectrum for the real part of a product of two operators in Hilbert spaces are given. Applications for one operator whose transform C(...) (introduced by the author in [9]) is accretive, are given as well.
7
Content available remote A two points Taylor's formula for the generalised Riemann integral
Dragomir S. S., Thompson H. B.
Demonstratio Mathematica
|
2010
|
Vol. 43, nr 4
827-840
EN
A two points Taylor's formula for the generalised Riemann integral and various bounds for the remainder are established. Moreover, particular instances of interest are given.
8
A further generalization of Hardy-Hilbert's integral inequality with parameter and applications
He L., Dragomir S. S., Yang Q.
Journal of Applied Analysis
|
2006
|
Vol. 12, nr 1
59-70
EN
In this paper, by introducing some parameters and by employing a sharpening of Hölder's inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established. At the same time, an extension of Widder's theorem is given.
9
Content available remote Hadamard inequalities for Wright-convex functions
Tseng K.-L., Yang G.-S., Dragomir S. S.
Demonstratio Mathematica
|
2004
|
Vol. 37, nr 3
525--532
EN
In this paper we establish several inequalities of Hadamard's type for Wright-convex functions.
10
Content available remote Superadditivity and monotonicity of Gram's determinants in 2-inner product spaces and their applications
Kim S. S., Dragomir S. S., Cho Y. J.
Demonstratio Mathematica
|
2003
|
Vol. 36, nr 4
807--817
EN
In this paper, we shall give some properties of superadditivity and mono-tonicity of Gram's determinants in 2-inner product spaces and their applications.
11
Content available remote A Grüss type inequality for isotonic linear functionals and applications
Dragomir S. S.
Demonstratio Mathematica
|
2003
|
Vol. 36, nr 3
551--562
EN
An inequality for a normalised isotonic linear functional of Grüss type and particular cases for integrals and norms are established. Applications in obtaining a counterpart for the Cauchy-Buniakowski-Schwartz inequality for functionals and Jessen's inequality for convex functions are also given.
12
Content available remote 2k-inner products in real linear spaces
Crâşmăreanu M., Dragomir S. S.
Demonstratio Mathematica
|
2002
|
Vol. 35, nr 3
645-656
EN
The notion of 2k-inner product is introduced as a generalization of usual inner product and Q-inner product ([4]-[8]). As a consequence, is denned the notion of 2k-normed space and some properties, e.g. uniformly convexity, Gateaux differentiability and Riesz property of the dual, are given.
13
Content available remote The Jensen inequality for s-Breckner convex functions in linear spaces
Dragomir S. S., Fitzpatrick S.
Demonstratio Mathematica
|
2000
|
Vol. 33, nr 1
43-49
EN
We derive some inequalities of Jensen's type for 5-convex functions in the sense of Breckner on subsets of linear spaces and give some applications connected with special means.
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