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1
Content available remote Certain generalized q-operators
Prakash O., Sharma D., Maheshwari P.
Demonstratio Mathematica
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2015
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Vol. 48, nr 3
404--412
EN
The applications of q-calculus in the approximation theory is a very interesting area of research in the recent years, several new q-operators were introduced and their behaviour were discussed by many researchers. This paper is the extension of the paper [15], in which Durrmeyer type generalization of q-Baskakov–Stancu type operators were discussed by using the concept of q-integral operators. Here, we propose to study the Stancu variant of q-Baskakov–Stancu type operators. We establish an estimate for the rate of convergence in terms of modulus of continuity and weighted approximation properties of these operators.
2
Content available remote On a class of h-Fourier integral operators
Harrat C., Senoussaoui A.
Demonstratio Mathematica
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2014
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Vol. 47, nr 3
595--606
EN
In this paper, we study the L2-boundedness and L2-compactness of a class of h-Fourier integral operators. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively tends to 0).
3
Content available remote On the boundedness of the singh integral operator
Miclăuş G.
Demonstratio Mathematica
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2005
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Vol. 38, nr 3
591--594
EN
In this paper we determine some conditions so that the Singh integral operator (1) and thier iterative, when it is applied to functions subordinate at starlike functions, are bounded in U.
4
Content available remote On an operatorial inequality
Popa V., Lungu N.
Demonstratio Mathematica
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2005
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Vol. 38, nr 3
667-674
EN
In this paper we give an operatorial inequality which is applied to find estimations for the solutions of some integral and differential systems of inequalities.
5
The univalence of integral operator
Blezu Dorin, Raducanu Dorina
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
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2002
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z. 26 [199]
45-50
EN
The aim of this paper is to obtain some univalence criteria in connection with integral operators due to E.Cazacu, S.Moldovan and N.N.Pascu. Thus we use another univalence criterion which is based of the well-known Becker's criterion but it does't depend of \z\. For this reason these are easily used for practical applications.
6
On uniformly [alpha]-close to-convex functions
Durai M., Prabhakaran D.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
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2000
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z. 24 [181]
5-14
EN
The transform under Ruscheweyh integral operator of the newly introduced class of uniformly a-close to-convex functions is studied.
7
On the univalence for integral operators
Blezu D., Raducanu D.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2000
|
z. 24 [181]
15-20
EN
The aim of this paper is to obtain some univalence criteria in connection with integral operators due to E. Cazacu, S. Moldovan and N.N. Pascu. In this sens we use an other univalence criterion which is based on the well-known Decker's criterion but is does't depend on \z\. For this reason these are easy used for practical applications.
8
On the starlikeness of certain integral operators
Patel J., Mohanty A.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2000
|
z. 24 [181]
79-85
EN
Let A (p) denote the class of functions f (z) =zp+[summation]infinity/k=p+1akzk analytic in the unit disc E. In this paper, we obtain a condition for starlikeness of the integral operator [...].
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