On the Mellin-Gauss-Weierstrass operators in the Mellin-Lebesgue spaces

Fırat Özsaraç

Makale detayları

On the Mellin-Gauss-Weierstrass operators in the Mellin-Lebesgue spaces

Yazarlar:

Fırat Özsaraç

Yayıncı:

Ankara University

Ana Başlıklar:

Operator Algebras and Functional Analysis

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 3, pp.630-640

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001326417

pISSN:

1303-5991

Anahtar kelimeler:

Özet:

 In this paper, we present the modulus of smoothness of a function fX_cp, which the Mellin-Lebesgue space, and later we state some properties of it. In this way, the rate of convergence is gained. Moreover, we elucidate some pointwise convergence results for the Mellin-Gauss-Weierstrass operators. Especially, we acquire the pointwise convergence of them at any Lebesgue point of a function f.

 In this paper, we present the modulus of smoothness of a function fX_cp, which the Mellin-Lebesgue space, and later we state some properties of it. In this way, the rate of convergence is gained. Moreover, we elucidate some pointwise convergence results for the Mellin-Gauss-Weierstrass operators. Especially, we acquire the pointwise convergence of them at any Lebesgue point of a function f.

 In this paper, we present the modulus of smoothness of a function fX_cp, which the Mellin-Lebesgue space, and later we state some properties of it. In this way, the rate of convergence is gained. Moreover, we elucidate some pointwise convergence results for the Mellin-Gauss-Weierstrass operators. Especially, we acquire the pointwise convergence of them at any Lebesgue point of a function f.

 In this paper, we present the modulus of smoothness of a function fX_cp, which the Mellin-Lebesgue space, and later we state some properties of it. In this way, the rate of convergence is gained. Moreover, we elucidate some pointwise convergence results for the Mellin-Gauss-Weierstrass operators. Especially, we acquire the pointwise convergence of them at any Lebesgue point of a function f.

Makale detayları

On the Mellin-Gauss-Weierstrass operators in the Mellin-Lebesgue spaces

Yazarlar: Fırat Özsaraç

Yayıncı: Ankara University

Ana Başlıklar: Operator Algebras and Functional Analysis

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 3, pp.630-640

Belge Tipi: Makale

Yayın Tarihi: 9/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001326417

pISSN: 1303-5991

Mellin-Gauss-Weierstrass operators

Mellin-Lebesgue spaces

modulus of smoothness

Lebesgue point

Sayı

Yazarlar:

Fırat Özsaraç

Yayıncı:

Ankara University

Ana Başlıklar:

Operator Algebras and Functional Analysis

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 3, pp.630-640

Belge Tipi:

Makale

Yayın Tarihi:

9/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001326417

pISSN:

1303-5991