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Dergiler / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2019 / Cilt: 37 - Sayı: 2

IMPROVED HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS

Zeynep ŞANLI
Mehmet KUNT
Tuncay KÖROĞLU
Sayfa
461–474
Yayın Tarihi
2019-06-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Our results generalize earlier results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we gave adjustments for some results in the paper [1], and proved three new Katugampola fractional Hermite-Hadamard type inequalities for convex functions by using the left and the right fractional integrals independently.
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Temel Bulgular & Veri:One of our Katugampola fractional Hermite-Hadamard type inequalities is better than given by Chen and Katugampola.
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Sonuç & Katkı:Our results generalize earlier results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hermite-Hadamard inequalities · Katugampola fractional integrals · convex functions.

Abstract

In this paper, we gave adjustments for some results in the paper [1], and proved three new Katugampola fractional Hermite-Hadamard type inequalities for convex functions by using the left and the right fractional integrals independently. One of our Katugampola fractional Hermite-Hadamard type inequalities is better than given by Chen and Katugampola. Also, we gave two new Katugampola fractional identities for differentiable functions. By using these identities, we obtained some new trapezoidal type inequalities for convex functions. Our results generalize earlier results.

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Bu Makaleye Atıf Yap

ŞANLI, Z., KUNT, M., KÖROĞLU, T. (2019). IMPROVED HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 37 - Sayı: 2, 461–474. https://ajindex.com/articles/419355

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Kaynakça (14)

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