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Elliptic operators and their symbols

Vasilyev Vladimir

Demonstratio Mathematica

2019

Vol. 52, nr 1

361--369

We consider special elliptic operators in functional spaces on manifolds with a boundary which has some singular points. Such an operator can be represented by a sum of operators, and for a Fredholm property of an initial operator one needs a Fredholm property for each operator from this sum.

Some strongly almost summable sequence spaces

Sharma S. K., Esi A.

Journal of Mathematics and Applications

2017

Vol. 40

171--183

In the present paper we introduce some strongly almost summable sequence spaces using ideal convergence and Musielak-Orlicz function M = (Mk) in n-normed spaces. We examine some topological properties of the resulting sequence spaces.

U-points and quasi-U-points in Orlicz function spaces

Wang T., Ji D., Li M.

Fasciculi Mathematici

1999

Nr 29

149-166

In this paper, notions of U-points and quasi-U-points are defined. There is given a characterization of U-point and quasi-U-point in Orlicz function spaces equipped with the Luxemburg norm.

Approximation theorems for some operators in weghted spaces of functions of two variables

Gurdek M., Kurczyńska J., Walczak Z.

Fasciculi Mathematici

1999

Nr 30

23-35

We study approximation properties of the Baskakov-Szasz-Mirakyan operators in some weighted spaces of functions of two variables. For these operators we give two theorems on the degree of approximation and the Voronovskaya type theorem. The Szasz-Mirakyan and Baskakov operators in the polynomial and exponential weighted spaces of functions of one variable were examined in [1]-[4]. Approximation theorems and the Voronovskaya type theorem for some operators ofthe Szasz-Mirakyan type were given in [5]-[7].