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Commentationes Mathematicae
EN We study the topological properties of the space L(L^Φ,X) of all continuous linear operators from an Orlicz space L^Φ (an Orlicz function Φ is not necessarily convex) to a Banach space X.We provide the space L(L^Φ,X) with the Banach space structure. Moreover, we examine the space Ls([...]
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Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
EN In this paper we obtain an extension of the classical Korovkin theorem in abstract modular spaces. Applications to some discrete and integral operators are discussed.
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Fasciculi Mathematici
2005 Nr 35 115-133
EN We investigate certain class of linear operators in polynomial weighted spaces of differentiable functions of one and two variables. We introduce strong differences of functions and operators and we give approximation theorems for them. The present theorems show that strong approximation is more gen[...]
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Zeszyty Naukowe. Matematyka Stosowana / Politechnika Śląska
2011 z. 1 7--27
PL Zapis operatora liniowego działającego na skończenie wymiarowej przestrzeni wektorowej nad dowolnym ciałem K w postaci sumy dwóch przemiennych operatorów – półprostego i nilpotentnego – nazywamy rozkładem Jordana-Chevalleya tego operatora.Wiadomo, że jeśli K jest ciałem doskonałym, to taki rozkład i[...]
EN Expressing a linear operator ƒ on a finite-dimensional vector space over any field K as a sum of two commuting operators – semisimple and nilpotent – is called the Jordan-Chevalley decomposition of ƒ. It is known that this decomposition exists for an arbitrary ƒ if only K is perfect. In this paper w[...]
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Journal of Mathematics and Applications
2008 Vol. 30 23-32
EN Using the Wrigh's generalized hypergeometric function, we introduce a new class W(q, s; A, B, γ) of analytic functions with nega-tive coefficients. In this paper we investigate coefficient estimates, distortion theorem and the radii of convexity and starlikeness.
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Journal of Mathematics and Applications
2008 Vol. 30 53-59
EN In the paper, we define classes of analytic functions, in terms of subordination. We present some inclusion relations for defined classes.
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Fasciculi Mathematici
1999 Nr 29 125-131
EN Elements of a modular subspace of [...] are approximated by certain singular integrals.
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Demonstratio Mathematica
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Journal of Mathematics and Applications
2007 Vol. 29 33-52
EN In this paper we introduce and study two subclasses (Rn,p(α, A, B)) and Sn,p(α, A, B)) of meromorphic p-valent functions of order α (0 ≤ α < p) defined by certain linear operator. We investigate the various important properties and characteristics of these subclasses. Some properties of neighborhood[...]
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Journal of Mathematics and Applications
2014 Vol. 37 97--109
EN In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results.
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Journal of Mathematics and Applications
2010 Vol. 32 39-46
EN In the paper, we define classes of analytic functions, in terms of subordination. By using Jack's Lemma and the Briot-Bouquet differential subordination we obtain some inclusion relations for defined classes.
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Przegląd Elektrotechniczny
2004 R. 80, nr 6 624-627
PL Celem opracowania jest wyodrębnienie z liniowego operatora immitancji obwodu typu dwójnika liniowego niestacjonarnego pewnych podoperatorów, które wyznaczają moc czynną doprowadzoną do układu, oraz tak zwaną moc nieczynną.
EN The aim of this publication is extraction from a linear two-terminal function operator of non-stationary linear two-terminal network two operators, which evaluate active and reactive power feed.
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Demonstratio Mathematica
EN We introduce a certain class H alpha/k (p, lambda;h) of multivalent analytic functions in the open unit disc involving a linear operator L alpha/k. The aim of this paper is to extend the similar concept of many earlier papers. We use techniques of differential subordination and convolution of this c[...]
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Journal of Mathematics and Applications
2008 Vol. 30 83-90
EN Let A(n) denote the class of functions of the form [wzór] which are analytic in the open unit disk U = {z : |z| < 1}. In this note, the subclasses Sn (β, γ, a, c), Rn (β, γ, a, c; μ ), S(sup α) (sub n) (β, γ a, c) and R (sup α) (sub n) (β, γ, a, c; μ ) of A(n)(are defined and some properties of nei[...]
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Journal of Mathematics and Applications
2007 Vol. 29 99-107
EN In the paper, we define classes of analytic functions, in terms of some linear operator. Coefficients estimates, distortion theorems, and the radii of convexity and starlikeness for this class of analytic functions are given here.
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Demonstratio Mathematica
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