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1
Content available μ -Hankel operators on Hilbert spaces
Mirotin Adolf, Kuzmenkova Ekaterina
Opuscula Mathematica
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2021
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Vol. 41, no. 6
881--898
EN
A class of operators is introduced (μ -Hankel operators, μ is a complex parameter), which generalizes the class of Hankel operators. Criteria for boundedness, compactness, nuclearity, and finite dimensionality are obtained for operators of this class, and for the case |μ| = 1 their description in the Hardy space is given. Integral representations of ^-Hankel operators on the unit disk and on the Semi-Axis are also considered.
2
Content available Spectrum localization of a perturbed operator in a strip and applications
Gil Michael
Opuscula Mathematica
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2021
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Vol. 41, no. 3
395–-412
EN
Let A and A be bounded operators in a Hilbert space. We consider the following problem: let the spectrum of A lie in some strip. In what strip the spectrum of A lies if A and Ä are “close”? Applications of the obtained results to integral operators and matrices are also discussed. In addition, we apply our perturbation results to approximate the spectral strip of a Hilbert-Schmidt operator by the spectral strips of finite matrices.
3
Content available remote A new iteration method for the solution of third-order BVP via Green's function
Akgun Fatma Aydın, Rasulov Zaur
Demonstratio Mathematica
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2021
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Vol. 54, nr 1
425--435
EN
In this study, a new iterative method for third-order boundary value problems based on embedding Green’s function is introduced. The existence and uniqueness theorems are established, and necessary conditions are derived for convergence. The accuracy, efficiency and applicability of the results are demonstrated by comparing with the exact results and existing methods. The results of this paper extend and generalize the corresponding results in the literature.
4
Content available remote New univalence criterions for special general integral operators
Ebadian A., Sokół J.
Journal of Mathematics and Applications
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2013
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Vol. 36
63--69
EN
In this work we consider some integral operators on the special subclasses of the set of analytic functions in the unit disc which are defined by the Hadamard product. Using the univalence criterions, we obtain new sucient conditions for these operators to be univalent in the open unit disk. We give some applications of the main results.
5
Content available remote Applications of convolution properties
Trojnar-Spelina L.
Demonstratio Mathematica
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2013
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Vol. 46, nr 3
513--523
EN
K. I. Noor (2007 Appl. Math. Comput. 188, 814–823) has defined the classes Qk(a, b, λ, γ) and Tk(a, b, λ, γ) of analytic functions by means of linear operator connected with incomplete beta function. In this paper, we have extended some of the results and have given other properties concerning these classes.
6
Content available remote The univalence of general integral operator Bazilevič
Pescar V.
Demonstratio Mathematica
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2011
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Vol. 44, nr 2
253-260
EN
In this paper we define a general integral operator Bazilevič and we obtain sufficient conditions for univalence of this integral operator.
7
Content available remote Properties of analytic functions defined by an integral operator
Cotîrlă L. I.
Demonstratio Mathematica
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2010
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Vol. 43, nr 4
799-803
EN
In this paper we present some properties for the analytic functions in the open unit disc U defined by an integral operator.
8
Content available remote Differential superordinations defined by an integral operator
Balaeti C. M.
Journal of Mathematics and Applications
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2009
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Vol. 31
29-36
EN
By using the integral operator I(m) f, we introduce a class of holomorphic functions denoted by J(m)(α) and we obtain some superordinations results related to this class.
9
Content available remote Integral operator which preserves the univalence in the upper half-plane
Blezu D., Pascu N. N., Pascu R. N.
Demonstratio Mathematica
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2003
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Vol. 36, nr 1
77--81
EN
In this paper, using the Pfaltzgraff integral operator and the so called "parametric circles method" introduced by N. N.Pascu (1999), we can obtain an univalence criterion for the analytic function denned in the upper half-plane and also for comparison two univalence criteria obtained by a simple composition of functions.
10
Content available remote Direct and converse theorems for integral-type operators
Finta Z.
Demonstratio Mathematica
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2003
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Vol. 36, nr 1
137--147
EN
We establish direct and converse results for integral-type operators defined with the aid of Szasz-Mirakjan operator and Baskakov operator, respectively. Moreover, some applications will be given.
11
Content available remote Generating relations involving hypergeometric functions by means of integral operators
Pathan M., Khan S.
Demonstratio Mathematica
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2002
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Vol. 35, nr 1
35-39
EN
In this paper, the focus is on the results which involve exponential functions. The results of Pathan and Yasmeen [6] and Exton [3] are used with a view to obtaining generating functions which are partly unilateral and partly bilateral.
12
Content available remote New criteria for univalence of certain integral operators
Pescar V.
Demonstratio Mathematica
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2000
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Vol. 33, nr 1
51-54
13
Content available remote Note on a class of operators on infinite interval
Agratini O.
Demonstratio Mathematica
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1999
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Vol. 32, nr 4
789-794
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