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1
Content available Oscillatory properties of fourth order nonlinear difference equations with quasidifferences
Schmeidel E., Migda M., Musielak A.
Opuscula Mathematica
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2006
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Vol. 26, no. 2
371-380
EN
In this paper we present the oscillation criterion for a class of fourth order nonlinear difference equations with quasidifferences.
2
Content available remote On Cauchy Conservative Families of Nonlinear Integral Operators
Musielak A.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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2005
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Vol. 45, [Z] 1
1--11
EN
Let [formula] be nonlinear integral operators of the from (2). There is estimated the expresion [formula] where ρ is a modular on the space [formula]. This is applied in order to obtain a theorem concerning modular conservatitivy of a family [formula] of operators T of the form (2).
3
Content available remote Some inequalities for coefficients of multiple Fourier series
Musielak A.
Demonstratio Mathematica
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2000
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Vol. 33, nr 2
333-341
EN
The aim of this paper is to obtain some inequalities for Fourier coefficients in case of multiple trigonometric series, generalizing A. Zygmund's theorem on absolute convergence of Fourier series of functions of bounded variation satisfying Lipschitz condition with positive exponent.
4
Content available remote On one-sided trigonometric approximation in modular function spaces. II
Musielak A.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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2000
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[Z] 40
139-145
EN
There is proved the converse approximation theorem on one-sided trigonometric approximation of functions f from the modular space L^p_2Pi.
5
Content available remote On one-sided trigonometric approximation in modular function spaces. I
Musielak A.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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1999
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[Z] 39
127-138
EN
The purpose of this paper is to obtain the direct approximation theorems on one-sided approximation of 2(pi)-periodic functions f from a modular function space of 2(pi)- periodic functions by means of trigonometric polynomials of a given degree in the sense of the Luxemburg norm || || generated by a discretely convex modular .
6
Content available remote On approximation by linear integral operations in function spaces
Musielak A.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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1998
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[Z] 38
93-99
EN
The are given theorems on approximation of random functions by means of linear operators in function spaces.
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