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Dergiler / Konuralp Journal of Mathematics / 2019 / Cilt: 7 - Sayı: 2

Convexity and Hermite-Hadamard Type Inequality via Non-Newtonian Calculus

Erdal ÜNLÜYOL
Seren SALAŞ
Sayfa
352–358
Yayın Tarihi
2019-10-15
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we reveal the new generalization of the definition of convexity that can reduce many order of convexity and constitute some new Hermite-Hadamard type inequalities for this calculi.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, firstly we research basic definition of convexity in terms of non-Newtonian calculi, i.e. interval, convex set, convexity, etc.
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Temel Bulgular & Veri:Secondly, we deal with the different classes of convexity and generalizations via non-Newtonian calculi.
💡
Sonuç & Katkı:Finally, we reveal the new generalization of the definition of convexity that can reduce many order of convexity and constitute some new Hermite-Hadamard type inequalities for this calculi.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Non-Newtonian calculi · alpha-convexity · Hermite-Hadamard type inequality

Abstract

In this paper, firstly we research basic definition of convexity in terms of non-Newtonian calculi, i.e. interval, convex set, convexity, etc. Secondly, we deal with the different classes of convexity and generalizations via non-Newtonian calculi. Finally, we reveal the new generalization of the definition of convexity that can reduce many order of convexity and constitute some new Hermite-Hadamard type inequalities for this calculi.

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Bu Makaleye Atıf Yap

ÜNLÜYOL, E., SALAŞ, S. (2019). Convexity and Hermite-Hadamard Type Inequality via Non-Newtonian Calculus. Konuralp Journal of Mathematics, Cilt: 7 - Sayı: 2, 352–358. https://ajindex.com/articles/786494

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Kaynakça (18)

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