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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2026 / Cilt: 24 Sayı: 3

On Reverse and Generalized of Bellman Type Inequality

Necmettin Alp(Milli Eğitim Bakanlığı)0000-0002-9123-6187
Pages
567–573
Publication Date
2024-06-27
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AI Summary & Key Takeaways

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

On the other hand, we have expressed with examples to obtain a lower bound for hard integrals.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this work, to obtain reverse Bellman type inequality for convex and integrable-differentiable functions after examining the previous studies on the Bellman inequality and giving the results that are a source of inspiration for us.
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Key Findings & Data:With that we proved the generalized of Bellman type inequality.
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Conclusion & Impact:On the other hand, we have expressed with examples to obtain a lower bound for hard integrals.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:konvekslik · eşitsizlikler · integral operatörü

Abstract

The aim of this work, to obtain reverse Bellman type inequality for convex and integrable-differentiable functions after examining the previous studies on the Bellman inequality and giving the results that are a source of inspiration for us. With that we proved the generalized of Bellman type inequality. With the help of obtained main results, we have obtained some special cases on convex and integrable-differentiable functions. For convexity we have also included some examples to make these exercises more understandable. On the other hand, we have expressed with examples to obtain a lower bound for hard integrals.

Özet

Bu çalışmanın amacı, önceki çalışmalar incelendikten sonra dışbükey ve integrallenebilir ve diferansiyellenebilir fonksiyonlar için ters Bellman tipi eşitsizliği elde etmektir. Bununla birlikte Bellman tipi eşitsizliğin genelleştirilmesinin ispatı yapılmıştır. Elde edilen ana sonuçlar yardımıyla dışbükey ve integrallenebilir, diferansiyellenebilir fonksiyonlar üzerine bazı özel durumlar elde edildi. Bu sonuçlar kullanılarak analitik olarak hesaplanması zor integraller için bir alt sınır elde dilmiştir

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Cite This Article

Alp, N. (2024). On Reverse and Generalized of Bellman Type Inequality. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 24 Sayı: 3, 567–573. https://doi.org/10.35414/akufemubid.1373603

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