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Erişime Açık

Isometry of the Subspaces of Solutions of Systems of Differential Equations to the Spaces of Real Functions

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

We determine the subspaces of solutions of the systems of Laplace and heat-conduction differential equations isometric to the corresponding spaces of real functions defined on the set of real numbers.

Erişime Açık

Direct and inverse approximation theorems in the weighted Orlicz-type spaces with a variable exponent

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In weighted Orlicz-type spaces S-p,S- (mu) with a variable summation exponent, the direct and inverse approximation theorems are proved in terms of best approximations of functions and moduli of smoothness of fractional order. It is shown that the constant obtained in the inverse approximation theorem is the best in a certain sense. Some applications of the results are also proposed. In particular, the constructive characteristics of functional classes defined by such moduli of smoothness are given. Equivalence between moduli of smoothness and certain Peetre K-functionals is shown in the space ...Daha fazlası

Erişime Açık

Approximate properties of the p-Bieberbach polynomials in regions with simultaneously exterior and interior zero angles

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In this paper, we study the uniform convergence ofp-Bieberbach polynomials in regions with a finite number of both interior and exterior zero angles at the boundary.

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