Ağırlıklı lorentz uzaylarında steklov ortalaması yardımıyla konvolüsyonlar üzerine bir çalışma

Bu çalışmada, ağırlıklı Lorentz uzaylarında Steklov operatörü yardımıyla tanımlanan konvolüsyon tipli operatörlerin bazı değerlendirmeleri elde edildi. Ayrıca, bu uzaylarda, konvolüsyon tipli operatörlerin bazı temel özellikleri incelendi.

Anahtar Kelimeler:

Konvolüsyon, ağırlıklı lorentz uzayları, fourier serisi, steklov ortalaması, yaklaşım.

A study on convolutions in weighted lorentz spaces using steklov means

In this study, some estimations of convolution type operators defined with the help of Steklov operator in weighted Lorentz space L_ω^(p,q) (T) are obtained. Also, some basic properties of convolution type operators in these spaces are investigated.

Keywords:

Convolution, weighted lorentz spaces, fourier series, steklov means, approximation.,

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