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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2020 / Cilt: 13 - Sayı: Özel Sayı - 1

Hermite-Hadamard Type Inequalities For (𝒉 − 𝒔)𝟐 − 𝑷𝒓𝒆𝒊𝒏𝒗𝒆𝒙 Mapping Via Fractional Integrals

Kesirli İntegrasyon Yardımıyla (𝒉 − 𝒔)𝟐 − 𝑷𝒓𝒆𝒊𝒏𝒗𝒆𝒌𝒔 Fonksiyonlar İçin HermiteHadamard Tipli Eşitsizlikler

Havva KAVURMACI ÖNALAN
Emetullah YAĞIZ
Pages
132–144
Publication Date
2022-11-06
DOI
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AI Summary & Key Takeaways

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

Using the (ℎ − 𝑠)2 − 𝑝𝑟𝑒𝑖𝑛𝑣𝑒𝑥 function we will obtain new Hermite-Hadamard type inequalities with the help of fractional integrals.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we define the (ℎ − 𝑠)2 − 𝑝𝑟𝑒𝑖𝑛𝑣𝑒𝑥 function class.
📊
Key Findings & Data:In this paper, we define the (ℎ − 𝑠)2 − 𝑝𝑟𝑒𝑖𝑛𝑣𝑒𝑥 function class.
💡
Conclusion & Impact:Using the (ℎ − 𝑠)2 − 𝑝𝑟𝑒𝑖𝑛𝑣𝑒𝑥 function we will obtain new Hermite-Hadamard type inequalities with the help of fractional integrals.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we define the (ℎ − 𝑠)2 − 𝑝𝑟𝑒𝑖𝑛𝑣𝑒𝑥 function class. Using the (ℎ − 𝑠)2 − 𝑝𝑟𝑒𝑖𝑛𝑣𝑒𝑥 function we will obtain new Hermite-Hadamard type inequalities with the help of fractional integrals.

Özet

Bu çalışmada (ℎ − 𝑠)2 − 𝑝𝑟𝑒𝑖𝑛𝑣𝑒𝑘𝑠 fonksiyon sınıfı tanımlanmıştır. Bu sınıf kullanılarak Hermite-Hadamard tipli eşitsizlikler kesirli integrasyon yardımıyla elde edilmiştir. Elde edilen sonuçların literatürle desteklendiği gösterilmiştir.

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Cite This Article

ÖNALAN, H. K., YAĞIZ, E. (2022). Hermite-Hadamard Type Inequalities For (𝒉 − 𝒔)𝟐 − 𝑷𝒓𝒆𝒊𝒏𝒗𝒆𝒙 Mapping Via Fractional Integrals. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 13 - Sayı: Özel Sayı - 1, 132–144. https://ajindex.com/articles/650189

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