Minimization of Quadratic Functionals Through Γ-Hilbert Space

Sahın Injamamul ISLAM; Nırmal SARKAR; Ashoke DAS

Makale detayları

Minimization of Quadratic Functionals Through Γ-Hilbert Space

Yazarlar:

Sahın Injamamul ISLAM | Nırmal SARKAR | Ashoke DAS

Yayıncı:

Cankaya University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Cankaya University Journal of Science and Engineering 2022 Vol.19 Issue 1, pp.22-28

Belge Tipi:

Makale

Yayın Tarihi:

4/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000903148

Sıklık:

İki Yıllık

eISSN:

2564-7954

Özet:

 

In this article we introduce the Gateaux differential and Frechet differential in Γ-Hilbert
space. We show the examples and related theorems in this space. We have noticed that
two differentials mentioned above will be equal for certain condition. Also, we discuss
the relative extremum and the stationary point of a functional in Γ-Hilbert space. We
already investigated the characteristics of both bounded and unbounded operators of
Γ-Hilbert space. Now, by using previous concept we elaborate optimization problems
and extremum of quadratic functionals in Γ-Hilbert space. Here we observe that how
the function of the solution of a operator equation minimizes the quadratic functionals.
Finally we describe the Minimization of quadratic functionals and its related theorem
via Γ-Hilbert space.

Makale detayları

Minimization of Quadratic Functionals Through Γ-Hilbert Space

Yazarlar: Sahın Injamamul ISLAM | Nırmal SARKAR | Ashoke DAS

Yayıncı: Cankaya University

Ana Başlıklar: Uygulamalı fizik

Dergi: Cankaya University Journal of Science and Engineering 2022 Vol.19 Issue 1, pp.22-28

Belge Tipi: Makale

Yayın Tarihi: 4/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000903148

Sıklık: İki Yıllık

eISSN: 2564-7954

Sayı

Yazarlar:

Sahın Injamamul ISLAM | Nırmal SARKAR | Ashoke DAS

Yayıncı:

Cankaya University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Cankaya University Journal of Science and Engineering 2022 Vol.19 Issue 1, pp.22-28

Belge Tipi:

Makale

Yayın Tarihi:

4/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000903148

Sıklık:

İki Yıllık

eISSN:

2564-7954