Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems

Gabdolla AKİSHEV; Lars Erik PERSSON; Harpal SİNGH

doi:https://doi.org/10.33205/cma.910173

Makale detayları

Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems

Yazarlar:

Gabdolla AKİSHEV | Lars Erik PERSSON | Harpal SİNGH

Yayıncı:

Tuncer ACAR

Ana Başlıklar:

Olasılıklar ve uygulamalı matematik

Dergi:

Constructive Mathematical Analysis 2021 Vol.4 Issue 3, pp.291-304

Belge Tipi:

Makale

Yayın Tarihi:

9/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000914132

Sıklık:

Üç Aylık

pISSN:

2651-2939

DOI:

https://doi.org/10.33205/cma.910173

Özet:

 

We consider the generalized Lorentz space L ;q dened via a continuous
and concave function   and the Fourier series of a function with respect to an unbounded
orthonormal system. Some new Fourier and Jackson-Nikol'skii type inequalities in this frame
are stated, proved and discussed. In particular, the derived results generalize and unify
several well-known results but also some new applications are pointed out.

Makale detayları

Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems

Yazarlar: Gabdolla AKİSHEV | Lars Erik PERSSON | Harpal SİNGH

Yayıncı: Tuncer ACAR

Ana Başlıklar: Olasılıklar ve uygulamalı matematik

Dergi: Constructive Mathematical Analysis 2021 Vol.4 Issue 3, pp.291-304

Belge Tipi: Makale

Yayın Tarihi: 9/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000914132

Sıklık: Üç Aylık

pISSN: 2651-2939

DOI: https://doi.org/10.33205/cma.910173

Sayı

Yazarlar:

Gabdolla AKİSHEV | Lars Erik PERSSON | Harpal SİNGH

Yayıncı:

Tuncer ACAR

Ana Başlıklar:

Olasılıklar ve uygulamalı matematik

Dergi:

Constructive Mathematical Analysis 2021 Vol.4 Issue 3, pp.291-304

Belge Tipi:

Makale

Yayın Tarihi:

9/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000914132

Sıklık:

Üç Aylık

pISSN:

2651-2939

DOI:

https://doi.org/10.33205/cma.910173