Approximation properties of convolution operators via statistical convergence based on a power series

Ramazan Dinar; Tuğba Yurdakadim

Makale detayları

Approximation properties of convolution operators via statistical convergence based on a power series

Yazarlar:

Ramazan Dinar | Tuğba Yurdakadim

Yayıncı:

Ankara University

Ana Başlıklar:

Approximation Theory and Asymptotic Methods

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 1, pp.92-102

Belge Tipi:

Makale

Yayın Tarihi:

8/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341525

pISSN:

1303-5991

Anahtar kelimeler:

Özet:

 In this study, our main goal is to obtain approximation properties of convolution operators for multivariables via a special method which is not included in any other methods given before, also known as P-statistical convergence. We present the P-statistical rate of this approximation and provide examples of convolution operators. It is noteworthy to express that one can not approximate f by earlier results for our examples. Therefore, our results fill an important gap in the existing literature. Furthermore, we also present a P-statistical approximation result in the space of periodic continuous functions of period 2pi for short C.

 In this study, our main goal is to obtain approximation properties of convolution operators for multivariables via a special method which is not included in any other methods given before, also known as P-statistical convergence. We present the P-statistical rate of this approximation and provide examples of convolution operators. It is noteworthy to express that one can not approximate f by earlier results for our examples. Therefore, our results fill an important gap in the existing literature. Furthermore, we also present a P-statistical approximation result in the space of periodic continuous functions of period 2pi for short C.

 In this study, our main goal is to obtain approximation properties of convolution operators for multivariables via a special method which is not included in any other methods given before, also known as P-statistical convergence. We present the P-statistical rate of this approximation and provide examples of convolution operators. It is noteworthy to express that one can not approximate f by earlier results for our examples. Therefore, our results fill an important gap in the existing literature. Furthermore, we also present a P-statistical approximation result in the space of periodic continuous functions of period 2pi for short C.

 In this study, our main goal is to obtain approximation properties of convolution operators for multivariables via a special method which is not included in any other methods given before, also known as P-statistical convergence. We present the P-statistical rate of this approximation and provide examples of convolution operators. It is noteworthy to express that one can not approximate f by earlier results for our examples. Therefore, our results fill an important gap in the existing literature. Furthermore, we also present a P-statistical approximation result in the space of periodic continuous functions of period 2pi for short C.

Makale detayları

Approximation properties of convolution operators via statistical convergence based on a power series

Yazarlar:

Ramazan Dinar | Tuğba Yurdakadim

Yayıncı:

Ankara University

Ana Başlıklar:

Approximation Theory and Asymptotic Methods

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 1, pp.92-102

Belge Tipi:

Makale

Yayın Tarihi:

8/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341525

pISSN:

1303-5991

Power series method

statistical convergence

convolution operators

Korovkin type approximation

rate of convergence

Sayı

Makale detayları

Approximation properties of convolution operators via statistical convergence based on a power series

Yazarlar: Ramazan Dinar | Tuğba Yurdakadim

Yayıncı: Ankara University

Ana Başlıklar: Approximation Theory and Asymptotic Methods

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 1, pp.92-102

Belge Tipi: Makale

Yayın Tarihi: 8/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001341525

pISSN: 1303-5991

Power series method

statistical convergence

convolution operators

Korovkin type approximation

rate of convergence

Sayı

Yazarlar:

Ramazan Dinar | Tuğba Yurdakadim

Yayıncı:

Ankara University

Ana Başlıklar:

Approximation Theory and Asymptotic Methods

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 1, pp.92-102

Belge Tipi:

Makale

Yayın Tarihi:

8/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341525

pISSN:

1303-5991