Diamond alpha Hardy-Copson type dynamic inequalities

Zeynep KAYAR; Billur KAYMAKÇALAN

doi:https://doi.org/10.15672/hujms.928390

Makale detayları

Diamond alpha Hardy-Copson type dynamic inequalities

Yazarlar:

Zeynep KAYAR | Billur KAYMAKÇALAN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 1, pp.48-73

Belge Tipi:

Makale

Yayın Tarihi:

2/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000450342

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.928390

Özet:

 

In this paper two kinds of dynamic Hardy-Copson type inequalities are derived via diamond alpha integrals. The first kind consists of twelve new integral inequalities which can be considered as mixed type in the sense that these inequalities contain delta, nabla and diamond alpha integrals together. The second kind involves another twelve new inequalities, which are composed of only diamond alpha integrals, unifying delta and nabla Hardy-Copson type inequalities. Our approach is quite new due to the fact that it uses time scale calculus rather than algebra. Therefore both kinds of our results unify some of the known delta and nabla Hardy-Copson type inequalities into one diamond alpha Hardy-Copson type inequalities and offer new Hardy-Copson type inequalities even for the special cases.

Makale detayları

Diamond alpha Hardy-Copson type dynamic inequalities

Yazarlar: Zeynep KAYAR | Billur KAYMAKÇALAN

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 1, pp.48-73

Belge Tipi: Makale

Yayın Tarihi: 2/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000450342

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.928390

Sayı

Yazarlar:

Zeynep KAYAR | Billur KAYMAKÇALAN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 1, pp.48-73

Belge Tipi:

Makale

Yayın Tarihi:

2/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000450342

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.928390