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Journals / Contemporary Analysis and Applied Mathematics / 2014 / Cilt: 2 - Sayı: 2

Cauchy-Schwartz eşitsizli˘ginin matrisler için başka geliştirmeleri

Further refinements of the Cauchy Schwarz inequality for matrices

Mojtaba BAKHERAD
Pages
268–276
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In particular, we establish the inequality

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let A, B and X be n × n matrices such that A, B are positive semidefinite.
📊
Key Findings & Data:We present some refinements of the matrix Cauchy Schwarz inequality by using some integration techniques and various refinements of the Hermite Hadamard inequality.
💡
Conclusion & Impact:In particular, we establish the inequality
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Let A, B and X be n × n matrices such that A, B are positive semidefinite. We present some refinements of the matrix Cauchy Schwarz inequality by using some integration techniques and various refinements of the Hermite Hadamard inequality. In particular, we establish the inequality

Özet

A, B ve X n × n matrisler olsun; öyle ki A ve B yarı pozitif tanımlı matris olsun. Bazı integrasyon teknikleri ve Hermite-Hadamard eşitsizliklerinin çeşitli geliştirilmelerini kullanarak matris Cauchy-Schwarz eşitsizliğinin bazı geliştirmelerini sunduk. Ozellikle s.t ∈ [0, 1] ve r ≥ 0 olmak üzere

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Cite This Article

BAKHERAD, M. (2022). Cauchy-Schwartz eşitsizli˘ginin matrisler için başka geliştirmeleri. Contemporary Analysis and Applied Mathematics, Cilt: 2 - Sayı: 2, 268–276. https://ajindex.com/articles/476476

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