Değişken üslü Lebesgue uzaylarında konvolüsyonların bazı özellikleri

Yıl 2022, Cilt: 24 Sayı: 2, 636 - 644, 08.07.2022

Daniyal M. İsrafilzade , Elife Gürsel

https://doi.org/10.25092/baunfbed.1078377

Öz

Bu çalışmada değişken üslü Lebesgue uzaylarında konvolüsyon tanımlandı ve Steklov ortalamalarının sonlu lineer birleşimleri ile yaklaşımının mümkün olduğu kanıtlandı. Ayrıca yaklaşım birimi ile oluşturulan özel konvolüsyonlar dizisinin başlangıç fonksiyonuna yakınsadığı gösterildi.

Anahtar Kelimeler

Konvolüsyon, değişken üslü Lebesgue uzayları, yaklaşım birimi

Convolutions and approximations in the variable exponent spaces

Öz

A convolution in the variable exponent Lebesgue spaces is defined and the possibility its approximation by finite linear combinations of Steklov means is proved. Moreover, the convergence of the special convolutions sequence constructed via approximate identity to the original function is showed.

Anahtar Kelimeler

convolution, variable exponent Lebesgue spaces, approximate identity

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