Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği

Mualla Birgül Huban; Hamdullah Başaran; Mehmet Gürdal

doi:10.29130/dubited.1013082

TR EN

Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği

Abstract

Normalleştirilmiş $K_{\lambda}:=\frac{k_{\lambda}}{\left\Vert k_{\lambda}\right\Vert_{\mathcal{H}}}$, üretici çekirdekli $\mathcal{H}\left( \Omega\right) $, Hilbert uzayı üzerinde $A$ sınırlı lineer operatör için Berezin sembolü ve Berezin sayısı sırasıyla $A\left( \lambda\right) :=\left\langle AK_{\lambda},K_{\lambda}\right\rangle _{\mathcal{H}}$ ve $\mathrm{ber}(A):=\sup_{\lambda\in\Omega}\left\vert A{(\lambda)}\right\vert $ biçiminde tanımlanır. Bu karakteristik arasındaki durumlardan $\mathrm{ber}\left( A\right) \leq\frac{1}{\sqrt{2}}\mathrm{ber}\left(\left\vert A\right\vert +i\left\vert A^{\ast}\right\vert \right) $ eşitsizliği elde edilmiştir. Bu çalışmamızda ise onlar arasındaki diğer eşitsizlikler ispatlanmış ve Berezin sayı eşitsizlikleri için operatör konveks fonksiyonlarının bazı uygulamaları verilmiştir.

Keywords

Üretici çekirdekli Hilbert uzayı, Berezin sembolü, Berezin sayısı, Hermite-Hadamard eşitsizliği, Operatör konveksliği

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Details

Primary Language

Turkish

Subjects

Engineering

Journal Section

Research Article

Authors

Mualla Birgül Huban ^*
0000-0003-2710-8487
Türkiye

Hamdullah Başaran This is me
0000-0002-9864-9515
Türkiye

Mehmet Gürdal
0000-0003-0866-1869
Türkiye

Publication Date

December 31, 2021

Submission Date

October 21, 2021

Acceptance Date

November 13, 2021

Published in Issue

Year 2021 Volume: 9 Number: 6

DOI

https://doi.org/10.29130/dubited.1013082

IZ

https://izlik.org/JA76KK52SM

APA

Huban, M. B., Başaran, H., & Gürdal, M. (2021). Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği. Duzce University Journal of Science and Technology, 9(6), 1-14. https://doi.org/10.29130/dubited.1013082

AMA

1.Huban MB, Başaran H, Gürdal M. Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği. DUBİTED. 2021;9(6):1-14. doi:10.29130/dubited.1013082

Chicago

Huban, Mualla Birgül, Hamdullah Başaran, and Mehmet Gürdal. 2021. “Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği”. Duzce University Journal of Science and Technology 9 (6): 1-14. https://doi.org/10.29130/dubited.1013082.

EndNote

Huban MB, Başaran H, Gürdal M (December 1, 2021) Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği. Duzce University Journal of Science and Technology 9 6 1–14.

IEEE

[1]M. B. Huban, H. Başaran, and M. Gürdal, “Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği”, DUBİTED, vol. 9, no. 6, pp. 1–14, Dec. 2021, doi: 10.29130/dubited.1013082.

ISNAD

Huban, Mualla Birgül - Başaran, Hamdullah - Gürdal, Mehmet. “Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği”. Duzce University Journal of Science and Technology 9/6 (December 1, 2021): 1-14. https://doi.org/10.29130/dubited.1013082.

JAMA

1.Huban MB, Başaran H, Gürdal M. Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği. DUBİTED. 2021;9:1–14.

MLA

Huban, Mualla Birgül, et al. “Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği”. Duzce University Journal of Science and Technology, vol. 9, no. 6, Dec. 2021, pp. 1-14, doi:10.29130/dubited.1013082.

Vancouver

1.Mualla Birgül Huban, Hamdullah Başaran, Mehmet Gürdal. Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği. DUBİTED. 2021 Dec. 1;9(6):1-14. doi:10.29130/dubited.1013082

Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği

Artan Operatör Konveks Fonksiyon İçin Berezin Sayı Eşitsizliği

Abstract

Keywords

Berezin Number Inequality for Increasing Operator Convex Function

Abstract

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References

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