A Sequence of Kantorovich-Type Operators on Mobile Intervals

Mirella CAPPELLETTI MONTANO; Vita LEONESSA

doi:https://doi.org/10.33205/cma.571078

Makale detayları

A Sequence of Kantorovich-Type Operators on Mobile Intervals

Yazarlar:

Mirella CAPPELLETTI MONTANO | Vita LEONESSA

Yayıncı:

Tuncer ACAR

Ana Başlıklar:

Matematik

Dergi:

Constructive Mathematical Analysis 2019 Vol.2 Issue 3, pp.130-143

Belge Tipi:

Makale

Yayın Tarihi:

8/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000914215

Sıklık:

Üç Aylık

pISSN:

2651-2939

DOI:

https://doi.org/10.33205/cma.571078

Özet:

 


In this paper, we introduce and study a new sequence of positive linear operators, acting on both spaces of continuous functions as well as spaces of integrable functions on [0,1][0,1][0, 1]. We state some qualitative properties of this sequence and we prove that it is an approximation process both in C([0,1])C([0,1])C([0, 1]) and in Lp([0,1])Lp([0,1])L^p([0, 1]), also providing  some estimates of the rate of convergence. Moreover, we determine an asymptotic formula and, as an application,  we  prove that certain iterates of the operators converge, both in C([0,1])C([0,1])C([0, 1]) and, in some cases,  in Lp([0,1])Lp([0,1])L^p([0, 1]), to a limit semigroup. Finally, we show that our operators, under suitable hypotheses, perform better than  other existing ones in the literature. 


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Makale detayları

A Sequence of Kantorovich-Type Operators on Mobile Intervals

Yazarlar: Mirella CAPPELLETTI MONTANO | Vita LEONESSA

Yayıncı: Tuncer ACAR

Ana Başlıklar: Matematik

Dergi: Constructive Mathematical Analysis 2019 Vol.2 Issue 3, pp.130-143

Belge Tipi: Makale

Yayın Tarihi: 8/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000914215

Sıklık: Üç Aylık

pISSN: 2651-2939

DOI: https://doi.org/10.33205/cma.571078

Sayı

Yazarlar:

Mirella CAPPELLETTI MONTANO | Vita LEONESSA

Yayıncı:

Tuncer ACAR

Ana Başlıklar:

Matematik

Dergi:

Constructive Mathematical Analysis 2019 Vol.2 Issue 3, pp.130-143

Belge Tipi:

Makale

Yayın Tarihi:

8/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000914215

Sıklık:

Üç Aylık

pISSN:

2651-2939

DOI:

https://doi.org/10.33205/cma.571078