Ostrowski's Type Inequalities for the Complex Integral on Paths

Sever DRAGOMIR

doi:https://doi.org/10.33205/cma.798861

Makale detayları

Ostrowski's Type Inequalities for the Complex Integral on Paths

Yazarlar:

Sever DRAGOMIR

Yayıncı:

Tuncer ACAR

Ana Başlıklar:

Matematik

Dergi:

Constructive Mathematical Analysis 2020 Vol.3 Issue 4, pp.125-138

Belge Tipi:

Makale

Yayın Tarihi:

11/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000914170

Sıklık:

Üç Aylık

pISSN:

2651-2939

DOI:

https://doi.org/10.33205/cma.798861

Özet:

 

In this paper we extend the Ostrowski inequality to the integral with respect to arc-length by providing upper bounds for the quantity

	|f(v)ℓ(γ)-∫_{γ}f(z)|dz||

under the assumptions that γ is a smooth path parametrized by z(t), t∈[a,b] with the length ℓ(γ), u=z(a), v=z(x) with x∈(a,b) and w=z(b) while f is holomorphic in G, an open domain and γ⊂G. An application for circular paths is also given.

Several applications for circular paths and for some special functions of interest such as the exponential functions are also provided.

Makale detayları

Ostrowski's Type Inequalities for the Complex Integral on Paths

Yazarlar: Sever DRAGOMIR

Yayıncı: Tuncer ACAR

Ana Başlıklar: Matematik

Dergi: Constructive Mathematical Analysis 2020 Vol.3 Issue 4, pp.125-138

Belge Tipi: Makale

Yayın Tarihi: 11/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000914170

Sıklık: Üç Aylık

pISSN: 2651-2939

DOI: https://doi.org/10.33205/cma.798861

Sayı

Yazarlar:

Sever DRAGOMIR

Yayıncı:

Tuncer ACAR

Ana Başlıklar:

Matematik

Dergi:

Constructive Mathematical Analysis 2020 Vol.3 Issue 4, pp.125-138

Belge Tipi:

Makale

Yayın Tarihi:

11/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000914170

Sıklık:

Üç Aylık

pISSN:

2651-2939

DOI:

https://doi.org/10.33205/cma.798861