Let Gamma be a rectifiable Dini-smooth Jordan curve in the complex plane C. In this work the approximation properties of the Faber-Laurent series expansions in the variable exponent Lebesgue spaces defined on the curve ...

In this work, approximation properties of matrix transforms constructed via the Fourier and Faber series in the subspaces of Morrey spaces are investigated.

We investigate the approximation properties of Norlund and Riesz means of trigonometric Fourier series are investigated in the subset of weighted Lebesgue space with variable exponent.

In this work, the inverse problem of approximation theory in the variable exponent Smirnov classes of analytic functions, defined on the Jordan domains with a Dini-smooth boundaries, is studied. First, for this purpose, ...

Let G be a finite simple connected domain in the complex plane C, bounded by a Carleson curve Γ := ∂G. In this work the direct and inverse theorems of approximation theory by the algebraic polynomials in the weighted ...

In the variable exponent Lebesgue space, the r-th modulus of smoothness (r = 1,2, ... ) is defined and in this term, the direct and inverse theorems of approximation theory are proved. Moreover, the constructive characterization ...

In this work, approximation properties of de la Vallee-Poussin means are investigated in weighted Lebesgue spaces with variable exponent where weight function belongs to Muckenhoupt class. For this purpose direct, inverse ...

Beş bölümden oluşan bu tezde yaklaşım teorisinin düz ve ters teoremleri araştırılmıştır. Birinci bölüm yaklaşım teorisi ve onun gelişimi hakkında bazı bilgileri içerir. İkinci bölüm dört kısımdan oluşmaktadır. Birinci ...

In this work, approximation properties of matrix transforms in the weighted variable exponent Lebesgue space of periodic functions are investigated.

Let G subset of C be a bounded Jordan domain with a rectifiable Dini-smooth boundary F and let G(-) := ext Gamma. In terms of the higher order modulus of smoothness the direct and inverse problems of approximation theory ...